GCD of 968, 126, 538, 256 Calculator

Given Input numbers are 968, 126, 538, 256

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

Divisors of 968 :

The positive integer divisors of 968 that completely divides 968 are.

1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968

Divisors of 126 :

The positive integer divisors of 126 that completely divides 126 are.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126

Divisors of 538 :

The positive integer divisors of 538 that completely divides 538 are.

1, 2, 269, 538

Divisors of 256 :

The positive integer divisors of 256 that completely divides 256 are.

1, 2, 4, 8, 16, 32, 64, 128, 256

GCD of numbers is the greatest common divisor

So, the GCD (968, 126, 538, 256) = 2.

Given numbers are 968, 126, 538, 256

The list of prime factors of all numbers are

Prime factors of 968 are 2 x 2 x 2 x 11 x 11

Prime factors of 126 are 2 x 3 x 3 x 7

Prime factors of 538 are 2 x 269

Prime factors of 256 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2

The highest common occurrence is 2¹

Therefore, GCD of 968, 126, 538, 256 is 2.

Given numbers are 968, 126, 538, 256

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

Apply this formula for all numbers.

Step1:

LCM(968, 126) = 60984

GCD(968, 126) = ( 968 x 126 ) / 60984

= 968 / 126

= 968

Step2:

LCM(2, 538) = 538

GCD(2, 538) = ( 2 x 538 ) / 538

= 2 / 538

= 2

Step3:

LCM(2, 256) = 256

GCD(2, 256) = ( 2 x 256 ) / 256

= 2 / 256

= 2

So, Greatest Common Divisor of 968, 126, 538, 256 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 801, 293, 222, 644
• GCD of 770, 416, 121, 617
• GCD of 543, 156, 518, 319
• GCD of 183, 623, 627, 139
• GCD of 468, 349, 635, 194

Given numbers are 968, 126, 538, 256
The greatest common divisor of numbers 968, 126, 538, 256 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 968, 126, 538, 256 is 2.

1. What is the GCD of 968, 126, 538, 256?

GCD of given numbers 968, 126, 538, 256 is 2

2. How to calculate the greatest common divisor of 968, 126, 538, 256?

We can find the highest common divisor of 968, 126, 538, 256 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 968, 126, 538, 256 i.e 2.

3. How can I use the GCD of 968, 126, 538, 256Calculator?

Out the numbers 968, 126, 538, 256 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.