GCD of 914, 400, 938, 636 Calculator

Given Input numbers are 914, 400, 938, 636

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

Divisors of 914 :

The positive integer divisors of 914 that completely divides 914 are.

1, 2, 457, 914

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 938 :

The positive integer divisors of 938 that completely divides 938 are.

1, 2, 7, 14, 67, 134, 469, 938

Divisors of 636 :

The positive integer divisors of 636 that completely divides 636 are.

1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636

GCD of numbers is the greatest common divisor

So, the GCD (914, 400, 938, 636) = 2.

Given numbers are 914, 400, 938, 636

The list of prime factors of all numbers are

Prime factors of 914 are 2 x 457

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

Prime factors of 938 are 2 x 7 x 67

Prime factors of 636 are 2 x 2 x 3 x 53

The highest common occurrence is 2¹

Therefore, GCD of 914, 400, 938, 636 is 2.

Given numbers are 914, 400, 938, 636

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

Apply this formula for all numbers.

Step1:

LCM(914, 400) = 182800

GCD(914, 400) = ( 914 x 400 ) / 182800

= 914 / 400

= 914

Step2:

LCM(2, 938) = 938

GCD(2, 938) = ( 2 x 938 ) / 938

= 2 / 938

= 2

Step3:

LCM(2, 636) = 636

GCD(2, 636) = ( 2 x 636 ) / 636

= 2 / 636

= 2

So, Greatest Common Divisor of 914, 400, 938, 636 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 481, 793, 829, 499
• GCD of 872, 686, 968, 371
• GCD of 891, 995, 519, 763
• GCD of 182, 510, 727, 845
• GCD of 890, 818, 381, 689

Given numbers are 914, 400, 938, 636
The greatest common divisor of numbers 914, 400, 938, 636 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 914, 400, 938, 636 is 2.

1. What is the GCD of 914, 400, 938, 636?

GCD of given numbers 914, 400, 938, 636 is 2

2. How to calculate the greatest common divisor of 914, 400, 938, 636?

We can find the highest common divisor of 914, 400, 938, 636 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 914, 400, 938, 636 i.e 2.

3. How can I use the GCD of 914, 400, 938, 636Calculator?

Out the numbers 914, 400, 938, 636 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.