GCD of 874, 829, 324, 120 Calculator

Given Input numbers are 874, 829, 324, 120

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

Divisors of 874 :

The positive integer divisors of 874 that completely divides 874 are.

1, 2, 19, 23, 38, 46, 437, 874

Divisors of 829 :

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

1, 829

Divisors of 324 :

The positive integer divisors of 324 that completely divides 324 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324

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

GCD of numbers is the greatest common divisor

So, the GCD (874, 829, 324, 120) = 1.

Given numbers are 874, 829, 324, 120

The list of prime factors of all numbers are

Prime factors of 874 are 2 x 19 x 23

Prime factors of 829 are 829

Prime factors of 324 are 2 x 2 x 3 x 3 x 3 x 3

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

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

Given numbers are 874, 829, 324, 120

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

Apply this formula for all numbers.

Step1:

LCM(874, 829) = 724546

GCD(874, 829) = ( 874 x 829 ) / 724546

= 874 / 829

= 874

Step2:

LCM(1, 324) = 324

GCD(1, 324) = ( 1 x 324 ) / 324

= 1 / 324

= 1

Step3:

LCM(1, 120) = 120

GCD(1, 120) = ( 1 x 120 ) / 120

= 1 / 120

= 1

So, Greatest Common Divisor of 874, 829, 324, 120 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 284, 455, 820, 808
• GCD of 656, 968, 663, 156
• GCD of 406, 524, 190, 722
• GCD of 512, 915, 637, 313
• GCD of 106, 338, 281, 528

Given numbers are 874, 829, 324, 120
The greatest common divisor of numbers 874, 829, 324, 120 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 874, 829, 324, 120 is 1.

1. What is the GCD of 874, 829, 324, 120?

GCD of given numbers 874, 829, 324, 120 is 1

2. How to calculate the greatest common divisor of 874, 829, 324, 120?

We can find the highest common divisor of 874, 829, 324, 120 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 874, 829, 324, 120 i.e 1.

3. How can I use the GCD of 874, 829, 324, 120Calculator?

Out the numbers 874, 829, 324, 120 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.