GCD of 744, 702, 516, 126 Calculator

Given Input numbers are 744, 702, 516, 126

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

Divisors of 744 :

The positive integer divisors of 744 that completely divides 744 are.

1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744

Divisors of 702 :

The positive integer divisors of 702 that completely divides 702 are.

1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

Divisors of 516 :

The positive integer divisors of 516 that completely divides 516 are.

1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516

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

GCD of numbers is the greatest common divisor

So, the GCD (744, 702, 516, 126) = 6.

Given numbers are 744, 702, 516, 126

The list of prime factors of all numbers are

Prime factors of 744 are 2 x 2 x 2 x 3 x 31

Prime factors of 702 are 2 x 3 x 3 x 3 x 13

Prime factors of 516 are 2 x 2 x 3 x 43

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

The highest common occurrence is 2¹ x 3¹

Therefore, GCD of 744, 702, 516, 126 is 6.

Given numbers are 744, 702, 516, 126

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

Apply this formula for all numbers.

Step1:

LCM(744, 702) = 87048

GCD(744, 702) = ( 744 x 702 ) / 87048

= 744 / 702

= 744

Step2:

LCM(6, 516) = 516

GCD(6, 516) = ( 6 x 516 ) / 516

= 6 / 516

= 6

Step3:

LCM(6, 126) = 126

GCD(6, 126) = ( 6 x 126 ) / 126

= 6 / 126

= 6

So, Greatest Common Divisor of 744, 702, 516, 126 is 6

Here are some samples of GCD of Numbers calculations.

• GCD of 599, 434, 864, 565
• GCD of 312, 954, 672, 760
• GCD of 119, 565, 229, 674
• GCD of 347, 194, 523, 286
• GCD of 409, 577, 633, 440

Given numbers are 744, 702, 516, 126
The greatest common divisor of numbers 744, 702, 516, 126 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 744, 702, 516, 126 is 6.

1. What is the GCD of 744, 702, 516, 126?

GCD of given numbers 744, 702, 516, 126 is 6

2. How to calculate the greatest common divisor of 744, 702, 516, 126?

We can find the highest common divisor of 744, 702, 516, 126 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 744, 702, 516, 126 i.e 6.

3. How can I use the GCD of 744, 702, 516, 126Calculator?

Out the numbers 744, 702, 516, 126 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.