GCD of 870, 364, 86, 916 Calculator

Given Input numbers are 870, 364, 86, 916

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

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 364 :

The positive integer divisors of 364 that completely divides 364 are.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

Divisors of 86 :

The positive integer divisors of 86 that completely divides 86 are.

1, 2, 43, 86

Divisors of 916 :

The positive integer divisors of 916 that completely divides 916 are.

1, 2, 4, 229, 458, 916

GCD of numbers is the greatest common divisor

So, the GCD (870, 364, 86, 916) = 2.

Given numbers are 870, 364, 86, 916

The list of prime factors of all numbers are

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

Prime factors of 364 are 2 x 2 x 7 x 13

Prime factors of 86 are 2 x 43

Prime factors of 916 are 2 x 2 x 229

The highest common occurrence is 2¹

Therefore, GCD of 870, 364, 86, 916 is 2.

Given numbers are 870, 364, 86, 916

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

Apply this formula for all numbers.

Step1:

LCM(870, 364) = 158340

GCD(870, 364) = ( 870 x 364 ) / 158340

= 870 / 364

= 870

Step2:

LCM(2, 86) = 86

GCD(2, 86) = ( 2 x 86 ) / 86

= 2 / 86

= 2

Step3:

LCM(2, 916) = 916

GCD(2, 916) = ( 2 x 916 ) / 916

= 2 / 916

= 2

So, Greatest Common Divisor of 870, 364, 86, 916 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 748, 834, 16, 631
• GCD of 375, 448, 60, 272
• GCD of 171, 724, 19, 974
• GCD of 219, 975, 80, 577
• GCD of 507, 354, 61, 121

Given numbers are 870, 364, 86, 916
The greatest common divisor of numbers 870, 364, 86, 916 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 870, 364, 86, 916 is 2.

1. What is the GCD of 870, 364, 86, 916?

GCD of given numbers 870, 364, 86, 916 is 2

2. How to calculate the greatest common divisor of 870, 364, 86, 916?

We can find the highest common divisor of 870, 364, 86, 916 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 870, 364, 86, 916 i.e 2.

3. How can I use the GCD of 870, 364, 86, 916Calculator?

Out the numbers 870, 364, 86, 916 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.