Example: 30 and 42
Factor them.
2 x 3 x 5 = 30
2 x 3 x 7 = 42
Select the common factors.
2 x 3 = 6, the GCF
Combine the factors, eliminating duplicates.
2 x 3 x 5 x 7 = 210, the LCM
Check your work. The product of the two numbers equals the product of the GCF and LCM.
30 x 42 = 1260
6 x 210 = 1260
It checks.
It's kind of an inverse relationship. The product of the GCF and LCM of two numbers is the same as the product of the original two numbers, so as the GCF increases, the LCM decreases and vice versa. LCM is divisable by HCF.
HCF means the highest common factor of two or more numbers. LCM means the lowest common multiple of two or more numbers.
The GCF is 70.
You need at least two numbers to find either of those.
9
LCM = Product/HCF = 384
if the product of two numbers is 810 if there hcf is 9 find Lcm
The HCF is always a factor of the LCM of two numbers. The HCF is a factor of both the numbers which are factors of their LCM. Thus the HCF is also a factor of the LCM of the two numbers.
You cannot. The numbers 2 and 12 have hcf = 2 and LCM = 12 The numbers 4 and 6 also have hcf = 2 and LCM = 12 So if you just knew the hcf and LCM you would not know which of the two was the required pair.
HCF of 17 and 68 is 17 ..( Lowest Prime factor ) LCM Of 102 and 476 is 7*2^2*3*17 which is 1428 .. ==> Sum of HCF and LCM are 1428+17= 1445 .
draw a flow chart to find hcf of two given numbers
No. The LCM MUST be a multiple of the HCF.
384
Shell program to find LCM and hcf of two no.s tput clear echo "Enter first no" read a echo "Enter 2nd no" read b p= 'expr $a \* $b' while [$b -ne 0] do r= 'expr $a % $b' a=$b b=$r done LCM = 'expr $p / $a' echo "LCM = $LCM" echo "Hcf = $a"
220
5 and 10 lcm- 10 and hcf= 5
I have been preparing for my GRE and have been practicing similar questions from www.examville.com The other number = HCF * LCM / Given number = 4 * 576 / 64 = 36