GCD of 126, 554, 764, 428 Calculator

Given Input numbers are 126, 554, 764, 428

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 554 :

The positive integer divisors of 554 that completely divides 554 are.

1, 2, 277, 554

Divisors of 764 :

The positive integer divisors of 764 that completely divides 764 are.

1, 2, 4, 191, 382, 764

Divisors of 428 :

The positive integer divisors of 428 that completely divides 428 are.

1, 2, 4, 107, 214, 428

GCD of numbers is the greatest common divisor

So, the GCD (126, 554, 764, 428) = 2.

Given numbers are 126, 554, 764, 428

The list of prime factors of all numbers are

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

Prime factors of 554 are 2 x 277

Prime factors of 764 are 2 x 2 x 191

Prime factors of 428 are 2 x 2 x 107

The highest common occurrence is 2¹

Therefore, GCD of 126, 554, 764, 428 is 2.

Given numbers are 126, 554, 764, 428

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

Apply this formula for all numbers.

Step1:

LCM(126, 554) = 34902

GCD(126, 554) = ( 126 x 554 ) / 34902

= 126 / 554

= 126

Step2:

LCM(2, 764) = 764

GCD(2, 764) = ( 2 x 764 ) / 764

= 2 / 764

= 2

Step3:

LCM(2, 428) = 428

GCD(2, 428) = ( 2 x 428 ) / 428

= 2 / 428

= 2

So, Greatest Common Divisor of 126, 554, 764, 428 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 381, 188, 963, 466
• GCD of 832, 157, 777, 423
• GCD of 801, 826, 369, 827
• GCD of 720, 150, 876, 651
• GCD of 920, 356, 608, 518

Given numbers are 126, 554, 764, 428
The greatest common divisor of numbers 126, 554, 764, 428 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 126, 554, 764, 428 is 2.

1. What is the GCD of 126, 554, 764, 428?

GCD of given numbers 126, 554, 764, 428 is 2

2. How to calculate the greatest common divisor of 126, 554, 764, 428?

We can find the highest common divisor of 126, 554, 764, 428 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, 554, 764, 428 i.e 2.

3. How can I use the GCD of 126, 554, 764, 428Calculator?

Out the numbers 126, 554, 764, 428 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.