GCD of 960, 902, 870, 502 Calculator

Given Input numbers are 960, 902, 870, 502

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

Divisors of 960 :

The positive integer divisors of 960 that completely divides 960 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

Divisors of 902 :

The positive integer divisors of 902 that completely divides 902 are.

1, 2, 11, 22, 41, 82, 451, 902

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 502 :

The positive integer divisors of 502 that completely divides 502 are.

1, 2, 251, 502

GCD of numbers is the greatest common divisor

So, the GCD (960, 902, 870, 502) = 2.

Given numbers are 960, 902, 870, 502

The list of prime factors of all numbers are

Prime factors of 960 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime factors of 902 are 2 x 11 x 41

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

Prime factors of 502 are 2 x 251

The highest common occurrence is 2¹

Therefore, GCD of 960, 902, 870, 502 is 2.

Given numbers are 960, 902, 870, 502

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

Apply this formula for all numbers.

Step1:

LCM(960, 902) = 432960

GCD(960, 902) = ( 960 x 902 ) / 432960

= 960 / 902

= 960

Step2:

LCM(2, 870) = 870

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

= 2 / 870

= 2

Step3:

LCM(2, 502) = 502

GCD(2, 502) = ( 2 x 502 ) / 502

= 2 / 502

= 2

So, Greatest Common Divisor of 960, 902, 870, 502 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 870, 921, 760, 967
• GCD of 509, 256, 242, 545
• GCD of 243, 867, 798, 980
• GCD of 323, 450, 765, 244
• GCD of 856, 918, 189, 194

Given numbers are 960, 902, 870, 502
The greatest common divisor of numbers 960, 902, 870, 502 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 960, 902, 870, 502 is 2.

1. What is the GCD of 960, 902, 870, 502?

GCD of given numbers 960, 902, 870, 502 is 2

2. How to calculate the greatest common divisor of 960, 902, 870, 502?

We can find the highest common divisor of 960, 902, 870, 502 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 960, 902, 870, 502 i.e 2.

3. How can I use the GCD of 960, 902, 870, 502Calculator?

Out the numbers 960, 902, 870, 502 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.