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Write a program to find the L.C.M. and HCF of two number using function where numbers are passed as parameter use function with return value?
Wiki User
∙ 11y ago
For the greatest common factor, you can use the following to your advantage. As an example, take the numbers 14 and 10 as input.
The greatest common factor of 14 and 10 is the same as the greatest common factor of 10 and 4, where 4 has been obtained by subtracting 14 - 10 (or, faster, to avoid repeated subtraction, take the remainder of a division: 14 % 10).
If you divide 10 % 4 (or subtract 4 twice, from 10), you get a remainder of 2, so the new set of numbers is 4 and 2.
Next step: 4 % 2 = 0. Once you get a remainder of zero, the previous number is the answer - the number that you should return. In this case, the 2.
For the least common multiple, use the property that (using a numeric example) 14 x 10 = 2 x 70 (14 and 10 are the two parameters, 2 and 70 are the greatest common factor and the least common multiple, respectively).
For the greatest common factor, you can use the following to your advantage. As an example, take the numbers 14 and 10 as input.
The greatest common factor of 14 and 10 is the same as the greatest common factor of 10 and 4, where 4 has been obtained by subtracting 14 - 10 (or, faster, to avoid repeated subtraction, take the remainder of a division: 14 % 10).
If you divide 10 % 4 (or subtract 4 twice, from 10), you get a remainder of 2, so the new set of numbers is 4 and 2.
Next step: 4 % 2 = 0. Once you get a remainder of zero, the previous number is the answer - the number that you should return. In this case, the 2.
For the least common multiple, use the property that (using a numeric example) 14 x 10 = 2 x 70 (14 and 10 are the two parameters, 2 and 70 are the greatest common factor and the least common multiple, respectively).
For the greatest common factor, you can use the following to your advantage. As an example, take the numbers 14 and 10 as input.
The greatest common factor of 14 and 10 is the same as the greatest common factor of 10 and 4, where 4 has been obtained by subtracting 14 - 10 (or, faster, to avoid repeated subtraction, take the remainder of a division: 14 % 10).
If you divide 10 % 4 (or subtract 4 twice, from 10), you get a remainder of 2, so the new set of numbers is 4 and 2.
Next step: 4 % 2 = 0. Once you get a remainder of zero, the previous number is the answer - the number that you should return. In this case, the 2.
For the least common multiple, use the property that (using a numeric example) 14 x 10 = 2 x 70 (14 and 10 are the two parameters, 2 and 70 are the greatest common factor and the least common multiple, respectively).
For the greatest common factor, you can use the following to your advantage. As an example, take the numbers 14 and 10 as input.
The greatest common factor of 14 and 10 is the same as the greatest common factor of 10 and 4, where 4 has been obtained by subtracting 14 - 10 (or, faster, to avoid repeated subtraction, take the remainder of a division: 14 % 10).
If you divide 10 % 4 (or subtract 4 twice, from 10), you get a remainder of 2, so the new set of numbers is 4 and 2.
Next step: 4 % 2 = 0. Once you get a remainder of zero, the previous number is the answer - the number that you should return. In this case, the 2.
For the least common multiple, use the property that (using a numeric example) 14 x 10 = 2 x 70 (14 and 10 are the two parameters, 2 and 70 are the greatest common factor and the least common multiple, respectively).
Wiki User
∙ 14y ago
Wiki User
∙ 11y ago#include
void main()
{
int num1 , num2 , lcm , gcd , remainder , numerator , denominator ;
clrscr();
printf( "Enter two numbers\n");
scanf(" %d%d " , &num1 , &num2 );
if (num1 > num2)
{
numerator=num1;
denominator=num2;
}
else
{
numerator = num2 ;
denominator = num1 ;
}
remainder = num1 % num2;
while ( remainder != 0)
{
numerator = denominator;
denominator = remainder;
remainder = numerator % denominator;
}
gcd = denominator;
lcm = (num1 * num2 ) / gcd;
printf("GCD of %d and %d =%d\n" , num1, num2, gcd);
printf(" LCM of %d and %d= %d\n" , num1, num2, lcm);
getch();
}
Wiki User
∙ 14y agoFor the greatest common factor, you can use the following to your advantage. As an example, take the numbers 14 and 10 as input.
The greatest common factor of 14 and 10 is the same as the greatest common factor of 10 and 4, where 4 has been obtained by subtracting 14 - 10 (or, faster, to avoid repeated subtraction, take the remainder of a division: 14 % 10).
If you divide 10 % 4 (or subtract 4 twice, from 10), you get a remainder of 2, so the new set of numbers is 4 and 2.
Next step: 4 % 2 = 0. Once you get a remainder of zero, the previous number is the answer - the number that you should return. In this case, the 2.
For the least common multiple, use the property that (using a numeric example) 14 x 10 = 2 x 70 (14 and 10 are the two parameters, 2 and 70 are the greatest common factor and the least common multiple, respectively).
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