GCD of 718, 264, 722, 872 Calculator

Given Input numbers are 718, 264, 722, 872

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

Divisors of 718 :

The positive integer divisors of 718 that completely divides 718 are.

1, 2, 359, 718

Divisors of 264 :

The positive integer divisors of 264 that completely divides 264 are.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

Divisors of 722 :

The positive integer divisors of 722 that completely divides 722 are.

1, 2, 19, 38, 361, 722

Divisors of 872 :

The positive integer divisors of 872 that completely divides 872 are.

1, 2, 4, 8, 109, 218, 436, 872

GCD of numbers is the greatest common divisor

So, the GCD (718, 264, 722, 872) = 2.

Given numbers are 718, 264, 722, 872

The list of prime factors of all numbers are

Prime factors of 718 are 2 x 359

Prime factors of 264 are 2 x 2 x 2 x 3 x 11

Prime factors of 722 are 2 x 19 x 19

Prime factors of 872 are 2 x 2 x 2 x 109

The highest common occurrence is 2¹

Therefore, GCD of 718, 264, 722, 872 is 2.

Given numbers are 718, 264, 722, 872

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

Apply this formula for all numbers.

Step1:

LCM(718, 264) = 94776

GCD(718, 264) = ( 718 x 264 ) / 94776

= 718 / 264

= 718

Step2:

LCM(2, 722) = 722

GCD(2, 722) = ( 2 x 722 ) / 722

= 2 / 722

= 2

Step3:

LCM(2, 872) = 872

GCD(2, 872) = ( 2 x 872 ) / 872

= 2 / 872

= 2

So, Greatest Common Divisor of 718, 264, 722, 872 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 998, 747, 691, 728
• GCD of 158, 204, 754, 177
• GCD of 250, 886, 672, 319
• GCD of 766, 620, 966, 799
• GCD of 894, 437, 785, 792

Given numbers are 718, 264, 722, 872
The greatest common divisor of numbers 718, 264, 722, 872 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 718, 264, 722, 872 is 2.

1. What is the GCD of 718, 264, 722, 872?

GCD of given numbers 718, 264, 722, 872 is 2

2. How to calculate the greatest common divisor of 718, 264, 722, 872?

We can find the highest common divisor of 718, 264, 722, 872 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 718, 264, 722, 872 i.e 2.

3. How can I use the GCD of 718, 264, 722, 872Calculator?

Out the numbers 718, 264, 722, 872 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.