GCD of 920, 634, 735, 576 Calculator

Given Input numbers are 920, 634, 735, 576

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

Divisors of 920 :

The positive integer divisors of 920 that completely divides 920 are.

1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

Divisors of 634 :

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

1, 2, 317, 634

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 576 :

The positive integer divisors of 576 that completely divides 576 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576

GCD of numbers is the greatest common divisor

So, the GCD (920, 634, 735, 576) = 1.

Given numbers are 920, 634, 735, 576

The list of prime factors of all numbers are

Prime factors of 920 are 2 x 2 x 2 x 5 x 23

Prime factors of 634 are 2 x 317

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

Prime factors of 576 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3

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

Given numbers are 920, 634, 735, 576

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

Apply this formula for all numbers.

Step1:

LCM(920, 634) = 291640

GCD(920, 634) = ( 920 x 634 ) / 291640

= 920 / 634

= 920

Step2:

LCM(2, 735) = 1470

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

= 2 / 735

= 2

Step3:

LCM(1, 576) = 576

GCD(1, 576) = ( 1 x 576 ) / 576

= 1 / 576

= 1

So, Greatest Common Divisor of 920, 634, 735, 576 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 495, 657, 331, 178
• GCD of 252, 375, 472, 612
• GCD of 323, 839, 458, 972
• GCD of 800, 364, 642, 946
• GCD of 562, 274, 395, 377

Given numbers are 920, 634, 735, 576
The greatest common divisor of numbers 920, 634, 735, 576 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 920, 634, 735, 576 is 1.

1. What is the GCD of 920, 634, 735, 576?

GCD of given numbers 920, 634, 735, 576 is 1

2. How to calculate the greatest common divisor of 920, 634, 735, 576?

We can find the highest common divisor of 920, 634, 735, 576 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 920, 634, 735, 576 i.e 1.

3. How can I use the GCD of 920, 634, 735, 576Calculator?

Out the numbers 920, 634, 735, 576 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.