GCD of 820, 634, 961, 560 Calculator

Given Input numbers are 820, 634, 961, 560

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

Divisors of 820 :

The positive integer divisors of 820 that completely divides 820 are.

1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

Divisors of 634 :

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

1, 2, 317, 634

Divisors of 961 :

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

1, 31, 961

Divisors of 560 :

The positive integer divisors of 560 that completely divides 560 are.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560

GCD of numbers is the greatest common divisor

So, the GCD (820, 634, 961, 560) = 1.

Given numbers are 820, 634, 961, 560

The list of prime factors of all numbers are

Prime factors of 820 are 2 x 2 x 5 x 41

Prime factors of 634 are 2 x 317

Prime factors of 961 are 31 x 31

Prime factors of 560 are 2 x 2 x 2 x 2 x 5 x 7

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

Given numbers are 820, 634, 961, 560

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

Apply this formula for all numbers.

Step1:

LCM(820, 634) = 259940

GCD(820, 634) = ( 820 x 634 ) / 259940

= 820 / 634

= 820

Step2:

LCM(2, 961) = 1922

GCD(2, 961) = ( 2 x 961 ) / 1922

= 2 / 961

= 2

Step3:

LCM(1, 560) = 560

GCD(1, 560) = ( 1 x 560 ) / 560

= 1 / 560

= 1

So, Greatest Common Divisor of 820, 634, 961, 560 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 501, 142, 972, 547
• GCD of 282, 428, 151, 620
• GCD of 962, 377, 916, 975
• GCD of 393, 672, 651, 905
• GCD of 955, 916, 303, 875

Given numbers are 820, 634, 961, 560
The greatest common divisor of numbers 820, 634, 961, 560 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 820, 634, 961, 560 is 1.

1. What is the GCD of 820, 634, 961, 560?

GCD of given numbers 820, 634, 961, 560 is 1

2. How to calculate the greatest common divisor of 820, 634, 961, 560?

We can find the highest common divisor of 820, 634, 961, 560 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 820, 634, 961, 560 i.e 1.

3. How can I use the GCD of 820, 634, 961, 560Calculator?

Out the numbers 820, 634, 961, 560 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.