GCD of 634, 314, 772, 400 Calculator

Given Input numbers are 634, 314, 772, 400

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 314 :

The positive integer divisors of 314 that completely divides 314 are.

1, 2, 157, 314

Divisors of 772 :

The positive integer divisors of 772 that completely divides 772 are.

1, 2, 4, 193, 386, 772

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

GCD of numbers is the greatest common divisor

So, the GCD (634, 314, 772, 400) = 2.

Given numbers are 634, 314, 772, 400

The list of prime factors of all numbers are

Prime factors of 634 are 2 x 317

Prime factors of 314 are 2 x 157

Prime factors of 772 are 2 x 2 x 193

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

The highest common occurrence is 2¹

Therefore, GCD of 634, 314, 772, 400 is 2.

Given numbers are 634, 314, 772, 400

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

Apply this formula for all numbers.

Step1:

LCM(634, 314) = 99538

GCD(634, 314) = ( 634 x 314 ) / 99538

= 634 / 314

= 634

Step2:

LCM(2, 772) = 772

GCD(2, 772) = ( 2 x 772 ) / 772

= 2 / 772

= 2

Step3:

LCM(2, 400) = 400

GCD(2, 400) = ( 2 x 400 ) / 400

= 2 / 400

= 2

So, Greatest Common Divisor of 634, 314, 772, 400 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 837, 194, 257, 375
• GCD of 372, 379, 230, 553
• GCD of 270, 128, 167, 479
• GCD of 341, 628, 166, 737
• GCD of 790, 803, 913, 745

Given numbers are 634, 314, 772, 400
The greatest common divisor of numbers 634, 314, 772, 400 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 634, 314, 772, 400 is 2.

1. What is the GCD of 634, 314, 772, 400?

GCD of given numbers 634, 314, 772, 400 is 2

2. How to calculate the greatest common divisor of 634, 314, 772, 400?

We can find the highest common divisor of 634, 314, 772, 400 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, 314, 772, 400 i.e 2.

3. How can I use the GCD of 634, 314, 772, 400Calculator?

Out the numbers 634, 314, 772, 400 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.