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Q: Use euclid division algorithm to find HCF of 867 and255?

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A x B/HCF(a,b)

Using the extended Euclidean algorithm, find the multiplicative inverse of a) 1234 mod 4321

It's the same as gcf(gcf(75, 100), 175). In other words, you can first use Euclid's algorithm to find the gcf of 75 and 100; then you can calculate the gcf of the result with 175. To help you get started, by Euclid's algorithm, the gcf of 75 and 100 is the same as the gcf of 75 and 25 (where 25 is the remnainder of the division of 100 / 75).

If you use methods based on prime factors, it is the same whether you have 2, 3, or more numbers: find all the factors that occur in any of your numbers. If you use a method based on Euclid's Algorithm (that is, lcm(a, b) = a x b / gcf(a, b), where you find the gcf with Euclid's Algorithm), then you can find the lcm for two numbers at a time. For example, to get the lcm of four numbers, find the lcm of the first two, then the lcm of the result and the third number, than the lcm of the result and the fourth number.

225=135*1+110 135=110*1+25 110=25*4+10 25=10*2+5 10=5*2+0 so, the HCF of 135 and225 is 5.

You can find several Euclid biographies on the Internet, or look in an encyclopedia.

34034 = 510 x 66 + 374 510 = 374 X 1 + 136 374 = 136 X 3 + 102 136 = 102 X 1 + 34 102 = 34 X 3.......THUS 34 IS THE HCF OF 34034 AND 510.

Write an algorithm to find the root of quadratic equation

First find the greatest common factors. All common factors are also factors of the greatest common factor.The greatest common factor of 48 and 35 is the same as the greatest common factor of 35 and 13 - where 13 is the remainder of the division of 48 by 35 (using Euclid's algorithm).

The greatest common factor (GCF), also known as the greatest common divisor (GCD), represents the largest number that divides into each member of a set of numbers. Smaller GCFs can be quickly calculated using the prime factors of each number, but calculating large GCFs the same way is sometimes difficult. An algorithm devised by Euclid, (the ladder) lets you find the GCF of any number without extensive factoring. All you need is the ability to do long division.

Euclid's algorithm is a popular algorithm to compute the GCD of two numbers. Algorithm: Gcd(a,b) = Gcd(b, a mod b), where a>=b and Gcd(a,0) = a Say we want to find the GCD of 72 and 105. 105 mod 72 = 33, so GCD(72,105) = GCD(33,72) 72 mod 33 = 6, so GCD(33,72) = GCD(6,33) 33 mod 6 = 3 so GCD(6,33) = GCD(3,6) 6 mod 3 = 0 so GCD(3,6) = GCD(0,3) = 3. So the GCD of 72 and 105 is 3.

Use Euclid's algorithm to find the greatest common factor. This algorithm is much simpler to program than the method taught in school (the method that involves finding prime factors). If the greatest common factor is 1, the numbers are relatively prime.

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