GCD of 120, 875, 829, 218 Calculator

Given Input numbers are 120, 875, 829, 218

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 875 :

The positive integer divisors of 875 that completely divides 875 are.

1, 5, 7, 25, 35, 125, 175, 875

Divisors of 829 :

The positive integer divisors of 829 that completely divides 829 are.

1, 829

Divisors of 218 :

The positive integer divisors of 218 that completely divides 218 are.

1, 2, 109, 218

GCD of numbers is the greatest common divisor

So, the GCD (120, 875, 829, 218) = 1.

Given numbers are 120, 875, 829, 218

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 875 are 5 x 5 x 5 x 7

Prime factors of 829 are 829

Prime factors of 218 are 2 x 109

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 120, 875, 829, 218

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

Apply this formula for all numbers.

Step1:

LCM(120, 875) = 21000

GCD(120, 875) = ( 120 x 875 ) / 21000

= 120 / 875

= 120

Step2:

LCM(5, 829) = 4145

GCD(5, 829) = ( 5 x 829 ) / 4145

= 5 / 829

= 5

Step3:

LCM(1, 218) = 218

GCD(1, 218) = ( 1 x 218 ) / 218

= 1 / 218

= 1

So, Greatest Common Divisor of 120, 875, 829, 218 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 720, 415, 589, 642
• GCD of 645, 183, 911, 929
• GCD of 845, 723, 245, 827
• GCD of 823, 276, 180, 431
• GCD of 596, 808, 518, 616

Given numbers are 120, 875, 829, 218
The greatest common divisor of numbers 120, 875, 829, 218 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 120, 875, 829, 218 is 1.

1. What is the GCD of 120, 875, 829, 218?

GCD of given numbers 120, 875, 829, 218 is 1

2. How to calculate the greatest common divisor of 120, 875, 829, 218?

We can find the highest common divisor of 120, 875, 829, 218 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, 875, 829, 218 i.e 1.

3. How can I use the GCD of 120, 875, 829, 218Calculator?

Out the numbers 120, 875, 829, 218 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.