GCD of 120, 612, 764, 598 Calculator

Given Input numbers are 120, 612, 764, 598

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 612 :

The positive integer divisors of 612 that completely divides 612 are.

1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612

Divisors of 764 :

The positive integer divisors of 764 that completely divides 764 are.

1, 2, 4, 191, 382, 764

Divisors of 598 :

The positive integer divisors of 598 that completely divides 598 are.

1, 2, 13, 23, 26, 46, 299, 598

GCD of numbers is the greatest common divisor

So, the GCD (120, 612, 764, 598) = 2.

Given numbers are 120, 612, 764, 598

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 612 are 2 x 2 x 3 x 3 x 17

Prime factors of 764 are 2 x 2 x 191

Prime factors of 598 are 2 x 13 x 23

The highest common occurrence is 2¹

Therefore, GCD of 120, 612, 764, 598 is 2.

Given numbers are 120, 612, 764, 598

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

Apply this formula for all numbers.

Step1:

LCM(120, 612) = 6120

GCD(120, 612) = ( 120 x 612 ) / 6120

= 120 / 612

= 120

Step2:

LCM(12, 764) = 2292

GCD(12, 764) = ( 12 x 764 ) / 2292

= 12 / 764

= 12

Step3:

LCM(4, 598) = 1196

GCD(4, 598) = ( 4 x 598 ) / 1196

= 4 / 598

= 4

So, Greatest Common Divisor of 120, 612, 764, 598 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 265, 170, 899, 494
• GCD of 380, 216, 212, 672
• GCD of 700, 328, 443, 823
• GCD of 177, 910, 232, 436
• GCD of 258, 248, 475, 861

Given numbers are 120, 612, 764, 598
The greatest common divisor of numbers 120, 612, 764, 598 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 120, 612, 764, 598 is 2.

1. What is the GCD of 120, 612, 764, 598?

GCD of given numbers 120, 612, 764, 598 is 2

2. How to calculate the greatest common divisor of 120, 612, 764, 598?

We can find the highest common divisor of 120, 612, 764, 598 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, 612, 764, 598 i.e 2.

3. How can I use the GCD of 120, 612, 764, 598Calculator?

Out the numbers 120, 612, 764, 598 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.