GCD of 634, 318, 735, 961 Calculator

Given Input numbers are 634, 318, 735, 961

In the factoring method, we have to find the divisors of all numbers

Divisors of 634 :

The positive integer divisors of 634 that completely divides 634 are.

1, 2, 317, 634

Divisors of 318 :

The positive integer divisors of 318 that completely divides 318 are.

1, 2, 3, 6, 53, 106, 159, 318

Divisors of 735 :

The positive integer divisors of 735 that completely divides 735 are.

1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

Divisors of 961 :

The positive integer divisors of 961 that completely divides 961 are.

1, 31, 961

GCD of numbers is the greatest common divisor

So, the GCD (634, 318, 735, 961) = 1.

Given numbers are 634, 318, 735, 961

The list of prime factors of all numbers are

Prime factors of 634 are 2 x 317

Prime factors of 318 are 2 x 3 x 53

Prime factors of 735 are 3 x 5 x 7 x 7

Prime factors of 961 are 31 x 31

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 634, 318, 735, 961

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(634, 318) = 100806

GCD(634, 318) = ( 634 x 318 ) / 100806

= 634 / 318

= 634

Step2:

LCM(2, 735) = 1470

GCD(2, 735) = ( 2 x 735 ) / 1470

= 2 / 735

= 2

Step3:

LCM(1, 961) = 961

GCD(1, 961) = ( 1 x 961 ) / 961

= 1 / 961

= 1

So, Greatest Common Divisor of 634, 318, 735, 961 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 723, 398, 472, 977
• GCD of 792, 985, 434, 223
• GCD of 282, 440, 777, 503
• GCD of 758, 529, 910, 183
• GCD of 164, 323, 264, 139

Given numbers are 634, 318, 735, 961
The greatest common divisor of numbers 634, 318, 735, 961 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 634, 318, 735, 961 is 1.

1. What is the GCD of 634, 318, 735, 961?

GCD of given numbers 634, 318, 735, 961 is 1

2. How to calculate the greatest common divisor of 634, 318, 735, 961?

We can find the highest common divisor of 634, 318, 735, 961 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 634, 318, 735, 961 i.e 1.

3. How can I use the GCD of 634, 318, 735, 961Calculator?

Out the numbers 634, 318, 735, 961 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.