GCD of 120, 870, 252, 825 Calculator

Given Input numbers are 120, 870, 252, 825

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

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 252 :

The positive integer divisors of 252 that completely divides 252 are.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

Divisors of 825 :

The positive integer divisors of 825 that completely divides 825 are.

1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

GCD of numbers is the greatest common divisor

So, the GCD (120, 870, 252, 825) = 3.

Given numbers are 120, 870, 252, 825

The list of prime factors of all numbers are

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 252 are 2 x 2 x 3 x 3 x 7

Prime factors of 825 are 3 x 5 x 5 x 11

The highest common occurrence is 3¹

Therefore, GCD of 120, 870, 252, 825 is 3.

Given numbers are 120, 870, 252, 825

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

Apply this formula for all numbers.

Step1:

LCM(120, 870) = 3480

GCD(120, 870) = ( 120 x 870 ) / 3480

= 120 / 870

= 120

Step2:

LCM(30, 252) = 1260

GCD(30, 252) = ( 30 x 252 ) / 1260

= 30 / 252

= 30

Step3:

LCM(6, 825) = 1650

GCD(6, 825) = ( 6 x 825 ) / 1650

= 6 / 825

= 6

So, Greatest Common Divisor of 120, 870, 252, 825 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 583, 650, 264, 627
• GCD of 222, 692, 183, 103
• GCD of 187, 168, 977, 229
• GCD of 433, 339, 314, 800
• GCD of 383, 876, 697, 922

Given numbers are 120, 870, 252, 825
The greatest common divisor of numbers 120, 870, 252, 825 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 120, 870, 252, 825 is 3.

1. What is the GCD of 120, 870, 252, 825?

GCD of given numbers 120, 870, 252, 825 is 3

2. How to calculate the greatest common divisor of 120, 870, 252, 825?

We can find the highest common divisor of 120, 870, 252, 825 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 120, 870, 252, 825 i.e 3.

3. How can I use the GCD of 120, 870, 252, 825Calculator?

Out the numbers 120, 870, 252, 825 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.