GCD of 716, 920, 162, 870 Calculator

Given Input numbers are 716, 920, 162, 870

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

Divisors of 716 :

The positive integer divisors of 716 that completely divides 716 are.

1, 2, 4, 179, 358, 716

Divisors of 920 :

The positive integer divisors of 920 that completely divides 920 are.

1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

Divisors of 162 :

The positive integer divisors of 162 that completely divides 162 are.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162

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

GCD of numbers is the greatest common divisor

So, the GCD (716, 920, 162, 870) = 2.

Given numbers are 716, 920, 162, 870

The list of prime factors of all numbers are

Prime factors of 716 are 2 x 2 x 179

Prime factors of 920 are 2 x 2 x 2 x 5 x 23

Prime factors of 162 are 2 x 3 x 3 x 3 x 3

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

The highest common occurrence is 2¹

Therefore, GCD of 716, 920, 162, 870 is 2.

Given numbers are 716, 920, 162, 870

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

Apply this formula for all numbers.

Step1:

LCM(716, 920) = 164680

GCD(716, 920) = ( 716 x 920 ) / 164680

= 716 / 920

= 716

Step2:

LCM(4, 162) = 324

GCD(4, 162) = ( 4 x 162 ) / 324

= 4 / 162

= 4

Step3:

LCM(2, 870) = 870

GCD(2, 870) = ( 2 x 870 ) / 870

= 2 / 870

= 2

So, Greatest Common Divisor of 716, 920, 162, 870 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 631, 121, 767, 271
• GCD of 159, 862, 915, 892
• GCD of 182, 568, 434, 966
• GCD of 461, 797, 811, 583
• GCD of 413, 357, 235, 584

Given numbers are 716, 920, 162, 870
The greatest common divisor of numbers 716, 920, 162, 870 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 716, 920, 162, 870 is 2.

1. What is the GCD of 716, 920, 162, 870?

GCD of given numbers 716, 920, 162, 870 is 2

2. How to calculate the greatest common divisor of 716, 920, 162, 870?

We can find the highest common divisor of 716, 920, 162, 870 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 716, 920, 162, 870 i.e 2.

3. How can I use the GCD of 716, 920, 162, 870Calculator?

Out the numbers 716, 920, 162, 870 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.