GCD of 126, 426, 968, 512 Calculator

Given Input numbers are 126, 426, 968, 512

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

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 426 :

The positive integer divisors of 426 that completely divides 426 are.

1, 2, 3, 6, 71, 142, 213, 426

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 512 :

The positive integer divisors of 512 that completely divides 512 are.

1, 2, 4, 8, 16, 32, 64, 128, 256, 512

GCD of numbers is the greatest common divisor

So, the GCD (126, 426, 968, 512) = 2.

Given numbers are 126, 426, 968, 512

The list of prime factors of all numbers are

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

Prime factors of 426 are 2 x 3 x 71

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

Prime factors of 512 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2

The highest common occurrence is 2¹

Therefore, GCD of 126, 426, 968, 512 is 2.

Given numbers are 126, 426, 968, 512

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

Apply this formula for all numbers.

Step1:

LCM(126, 426) = 8946

GCD(126, 426) = ( 126 x 426 ) / 8946

= 126 / 426

= 126

Step2:

LCM(6, 968) = 2904

GCD(6, 968) = ( 6 x 968 ) / 2904

= 6 / 968

= 6

Step3:

LCM(2, 512) = 512

GCD(2, 512) = ( 2 x 512 ) / 512

= 2 / 512

= 2

So, Greatest Common Divisor of 126, 426, 968, 512 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 939, 296, 267, 436
• GCD of 929, 867, 392, 456
• GCD of 690, 690, 705, 553
• GCD of 515, 230, 468, 492
• GCD of 397, 952, 306, 426

Given numbers are 126, 426, 968, 512
The greatest common divisor of numbers 126, 426, 968, 512 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 126, 426, 968, 512 is 2.

1. What is the GCD of 126, 426, 968, 512?

GCD of given numbers 126, 426, 968, 512 is 2

2. How to calculate the greatest common divisor of 126, 426, 968, 512?

We can find the highest common divisor of 126, 426, 968, 512 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 126, 426, 968, 512 i.e 2.

3. How can I use the GCD of 126, 426, 968, 512Calculator?

Out the numbers 126, 426, 968, 512 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.