GCD of 568, 120, 870, 976 Calculator

Given Input numbers are 568, 120, 870, 976

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

Divisors of 568 :

The positive integer divisors of 568 that completely divides 568 are.

1, 2, 4, 8, 71, 142, 284, 568

Divisors of 120 :

The positive integer divisors of 120 that completely divides 120 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

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 976 :

The positive integer divisors of 976 that completely divides 976 are.

1, 2, 4, 8, 16, 61, 122, 244, 488, 976

GCD of numbers is the greatest common divisor

So, the GCD (568, 120, 870, 976) = 2.

Given numbers are 568, 120, 870, 976

The list of prime factors of all numbers are

Prime factors of 568 are 2 x 2 x 2 x 71

Prime factors of 120 are 2 x 2 x 2 x 3 x 5

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

Prime factors of 976 are 2 x 2 x 2 x 2 x 61

The highest common occurrence is 2¹

Therefore, GCD of 568, 120, 870, 976 is 2.

Given numbers are 568, 120, 870, 976

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

Apply this formula for all numbers.

Step1:

LCM(568, 120) = 8520

GCD(568, 120) = ( 568 x 120 ) / 8520

= 568 / 120

= 568

Step2:

LCM(8, 870) = 3480

GCD(8, 870) = ( 8 x 870 ) / 3480

= 8 / 870

= 8

Step3:

LCM(2, 976) = 976

GCD(2, 976) = ( 2 x 976 ) / 976

= 2 / 976

= 2

So, Greatest Common Divisor of 568, 120, 870, 976 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 714, 559, 400, 582
• GCD of 377, 306, 473, 122
• GCD of 688, 187, 134, 715
• GCD of 350, 973, 171, 165
• GCD of 419, 927, 353, 818

Given numbers are 568, 120, 870, 976
The greatest common divisor of numbers 568, 120, 870, 976 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 568, 120, 870, 976 is 2.

1. What is the GCD of 568, 120, 870, 976?

GCD of given numbers 568, 120, 870, 976 is 2

2. How to calculate the greatest common divisor of 568, 120, 870, 976?

We can find the highest common divisor of 568, 120, 870, 976 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 568, 120, 870, 976 i.e 2.

3. How can I use the GCD of 568, 120, 870, 976Calculator?

Out the numbers 568, 120, 870, 976 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.