GCD of 126, 668, 738, 674 Calculator

Given Input numbers are 126, 668, 738, 674

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 668 :

The positive integer divisors of 668 that completely divides 668 are.

1, 2, 4, 167, 334, 668

Divisors of 738 :

The positive integer divisors of 738 that completely divides 738 are.

1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

Divisors of 674 :

The positive integer divisors of 674 that completely divides 674 are.

1, 2, 337, 674

GCD of numbers is the greatest common divisor

So, the GCD (126, 668, 738, 674) = 2.

Given numbers are 126, 668, 738, 674

The list of prime factors of all numbers are

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

Prime factors of 668 are 2 x 2 x 167

Prime factors of 738 are 2 x 3 x 3 x 41

Prime factors of 674 are 2 x 337

The highest common occurrence is 2¹

Therefore, GCD of 126, 668, 738, 674 is 2.

Given numbers are 126, 668, 738, 674

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

Apply this formula for all numbers.

Step1:

LCM(126, 668) = 42084

GCD(126, 668) = ( 126 x 668 ) / 42084

= 126 / 668

= 126

Step2:

LCM(2, 738) = 738

GCD(2, 738) = ( 2 x 738 ) / 738

= 2 / 738

= 2

Step3:

LCM(2, 674) = 674

GCD(2, 674) = ( 2 x 674 ) / 674

= 2 / 674

= 2

So, Greatest Common Divisor of 126, 668, 738, 674 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 989, 855, 295, 697
• GCD of 472, 857, 193, 672
• GCD of 715, 349, 218, 787
• GCD of 881, 545, 645, 147
• GCD of 698, 607, 501, 993

Given numbers are 126, 668, 738, 674
The greatest common divisor of numbers 126, 668, 738, 674 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 126, 668, 738, 674 is 2.

1. What is the GCD of 126, 668, 738, 674?

GCD of given numbers 126, 668, 738, 674 is 2

2. How to calculate the greatest common divisor of 126, 668, 738, 674?

We can find the highest common divisor of 126, 668, 738, 674 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, 668, 738, 674 i.e 2.

3. How can I use the GCD of 126, 668, 738, 674Calculator?

Out the numbers 126, 668, 738, 674 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.