GCD of 634, 400, 742, 560 Calculator

Given Input numbers are 634, 400, 742, 560

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 400 :

The positive integer divisors of 400 that completely divides 400 are.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

Divisors of 742 :

The positive integer divisors of 742 that completely divides 742 are.

1, 2, 7, 14, 53, 106, 371, 742

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 (634, 400, 742, 560) = 2.

Given numbers are 634, 400, 742, 560

The list of prime factors of all numbers are

Prime factors of 634 are 2 x 317

Prime factors of 400 are 2 x 2 x 2 x 2 x 5 x 5

Prime factors of 742 are 2 x 7 x 53

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

The highest common occurrence is 2¹

Therefore, GCD of 634, 400, 742, 560 is 2.

Given numbers are 634, 400, 742, 560

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

Apply this formula for all numbers.

Step1:

LCM(634, 400) = 126800

GCD(634, 400) = ( 634 x 400 ) / 126800

= 634 / 400

= 634

Step2:

LCM(2, 742) = 742

GCD(2, 742) = ( 2 x 742 ) / 742

= 2 / 742

= 2

Step3:

LCM(2, 560) = 560

GCD(2, 560) = ( 2 x 560 ) / 560

= 2 / 560

= 2

So, Greatest Common Divisor of 634, 400, 742, 560 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 474, 520, 613, 342
• GCD of 168, 815, 152, 720
• GCD of 303, 496, 568, 562
• GCD of 352, 868, 833, 442
• GCD of 758, 682, 613, 774

Given numbers are 634, 400, 742, 560
The greatest common divisor of numbers 634, 400, 742, 560 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 634, 400, 742, 560 is 2.

1. What is the GCD of 634, 400, 742, 560?

GCD of given numbers 634, 400, 742, 560 is 2

2. How to calculate the greatest common divisor of 634, 400, 742, 560?

We can find the highest common divisor of 634, 400, 742, 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 634, 400, 742, 560 i.e 2.

3. How can I use the GCD of 634, 400, 742, 560Calculator?

Out the numbers 634, 400, 742, 560 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.