GCD of 744, 748, 870, 556 Calculator

Given Input numbers are 744, 748, 870, 556

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 748 :

The positive integer divisors of 748 that completely divides 748 are.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

Divisors of 870 :

The positive integer divisors of 870 that completely divides 870 are.

1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870

Divisors of 556 :

The positive integer divisors of 556 that completely divides 556 are.

1, 2, 4, 139, 278, 556

GCD of numbers is the greatest common divisor

So, the GCD (744, 748, 870, 556) = 2.

Given numbers are 744, 748, 870, 556

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 748 are 2 x 2 x 11 x 17

Prime factors of 870 are 2 x 3 x 5 x 29

Prime factors of 556 are 2 x 2 x 139

The highest common occurrence is 2¹

Therefore, GCD of 744, 748, 870, 556 is 2.

Given numbers are 744, 748, 870, 556

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

Apply this formula for all numbers.

Step1:

LCM(744, 748) = 139128

GCD(744, 748) = ( 744 x 748 ) / 139128

= 744 / 748

= 744

Step2:

LCM(4, 870) = 1740

GCD(4, 870) = ( 4 x 870 ) / 1740

= 4 / 870

= 4

Step3:

LCM(2, 556) = 556

GCD(2, 556) = ( 2 x 556 ) / 556

= 2 / 556

= 2

So, Greatest Common Divisor of 744, 748, 870, 556 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 991, 406, 403, 532
• GCD of 348, 684, 602, 788
• GCD of 775, 567, 675, 937
• GCD of 978, 468, 518, 862
• GCD of 879, 731, 607, 785

Given numbers are 744, 748, 870, 556
The greatest common divisor of numbers 744, 748, 870, 556 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 744, 748, 870, 556 is 2.

1. What is the GCD of 744, 748, 870, 556?

GCD of given numbers 744, 748, 870, 556 is 2

2. How to calculate the greatest common divisor of 744, 748, 870, 556?

We can find the highest common divisor of 744, 748, 870, 556 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, 748, 870, 556 i.e 2.

3. How can I use the GCD of 744, 748, 870, 556Calculator?

Out the numbers 744, 748, 870, 556 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.