GCD of 312, 752, 359, 120 Calculator

Given Input numbers are 312, 752, 359, 120

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

Divisors of 312 :

The positive integer divisors of 312 that completely divides 312 are.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

Divisors of 752 :

The positive integer divisors of 752 that completely divides 752 are.

1, 2, 4, 8, 16, 47, 94, 188, 376, 752

Divisors of 359 :

The positive integer divisors of 359 that completely divides 359 are.

1, 359

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 (312, 752, 359, 120) = 1.

Given numbers are 312, 752, 359, 120

The list of prime factors of all numbers are

Prime factors of 312 are 2 x 2 x 2 x 3 x 13

Prime factors of 752 are 2 x 2 x 2 x 2 x 47

Prime factors of 359 are 359

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 312, 752, 359, 120

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

Apply this formula for all numbers.

Step1:

LCM(312, 752) = 29328

GCD(312, 752) = ( 312 x 752 ) / 29328

= 312 / 752

= 312

Step2:

LCM(8, 359) = 2872

GCD(8, 359) = ( 8 x 359 ) / 2872

= 8 / 359

= 8

Step3:

LCM(1, 120) = 120

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

= 1 / 120

= 1

So, Greatest Common Divisor of 312, 752, 359, 120 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 491, 714, 103, 596
• GCD of 965, 464, 350, 898
• GCD of 496, 249, 256, 935
• GCD of 815, 848, 929, 516
• GCD of 341, 329, 543, 499

Given numbers are 312, 752, 359, 120
The greatest common divisor of numbers 312, 752, 359, 120 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 312, 752, 359, 120 is 1.

1. What is the GCD of 312, 752, 359, 120?

GCD of given numbers 312, 752, 359, 120 is 1

2. How to calculate the greatest common divisor of 312, 752, 359, 120?

We can find the highest common divisor of 312, 752, 359, 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 312, 752, 359, 120 i.e 1.

3. How can I use the GCD of 312, 752, 359, 120Calculator?

Out the numbers 312, 752, 359, 120 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.