GCD of 870, 124, 964, 600 Calculator

Given Input numbers are 870, 124, 964, 600

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 124 :

The positive integer divisors of 124 that completely divides 124 are.

1, 2, 4, 31, 62, 124

Divisors of 964 :

The positive integer divisors of 964 that completely divides 964 are.

1, 2, 4, 241, 482, 964

Divisors of 600 :

The positive integer divisors of 600 that completely divides 600 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600

GCD of numbers is the greatest common divisor

So, the GCD (870, 124, 964, 600) = 2.

Given numbers are 870, 124, 964, 600

The list of prime factors of all numbers are

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

Prime factors of 124 are 2 x 2 x 31

Prime factors of 964 are 2 x 2 x 241

Prime factors of 600 are 2 x 2 x 2 x 3 x 5 x 5

The highest common occurrence is 2¹

Therefore, GCD of 870, 124, 964, 600 is 2.

Given numbers are 870, 124, 964, 600

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

Apply this formula for all numbers.

Step1:

LCM(870, 124) = 53940

GCD(870, 124) = ( 870 x 124 ) / 53940

= 870 / 124

= 870

Step2:

LCM(2, 964) = 964

GCD(2, 964) = ( 2 x 964 ) / 964

= 2 / 964

= 2

Step3:

LCM(2, 600) = 600

GCD(2, 600) = ( 2 x 600 ) / 600

= 2 / 600

= 2

So, Greatest Common Divisor of 870, 124, 964, 600 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 153, 554, 211, 774
• GCD of 237, 556, 691, 461
• GCD of 792, 878, 816, 713
• GCD of 976, 356, 205, 655
• GCD of 161, 748, 818, 108

Given numbers are 870, 124, 964, 600
The greatest common divisor of numbers 870, 124, 964, 600 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 870, 124, 964, 600 is 2.

1. What is the GCD of 870, 124, 964, 600?

GCD of given numbers 870, 124, 964, 600 is 2

2. How to calculate the greatest common divisor of 870, 124, 964, 600?

We can find the highest common divisor of 870, 124, 964, 600 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, 124, 964, 600 i.e 2.

3. How can I use the GCD of 870, 124, 964, 600Calculator?

Out the numbers 870, 124, 964, 600 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.