GCD of 372, 828, 598, 120 Calculator

Given Input numbers are 372, 828, 598, 120

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

Divisors of 372 :

The positive integer divisors of 372 that completely divides 372 are.

1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372

Divisors of 828 :

The positive integer divisors of 828 that completely divides 828 are.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

Divisors of 598 :

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

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

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 (372, 828, 598, 120) = 2.

Given numbers are 372, 828, 598, 120

The list of prime factors of all numbers are

Prime factors of 372 are 2 x 2 x 3 x 31

Prime factors of 828 are 2 x 2 x 3 x 3 x 23

Prime factors of 598 are 2 x 13 x 23

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

The highest common occurrence is 2¹

Therefore, GCD of 372, 828, 598, 120 is 2.

Given numbers are 372, 828, 598, 120

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

Apply this formula for all numbers.

Step1:

LCM(372, 828) = 25668

GCD(372, 828) = ( 372 x 828 ) / 25668

= 372 / 828

= 372

Step2:

LCM(12, 598) = 3588

GCD(12, 598) = ( 12 x 598 ) / 3588

= 12 / 598

= 12

Step3:

LCM(2, 120) = 120

GCD(2, 120) = ( 2 x 120 ) / 120

= 2 / 120

= 2

So, Greatest Common Divisor of 372, 828, 598, 120 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 883, 167, 573, 994
• GCD of 138, 653, 441, 607
• GCD of 300, 506, 662, 605
• GCD of 603, 227, 613, 555
• GCD of 363, 489, 310, 140

Given numbers are 372, 828, 598, 120
The greatest common divisor of numbers 372, 828, 598, 120 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 372, 828, 598, 120 is 2.

1. What is the GCD of 372, 828, 598, 120?

GCD of given numbers 372, 828, 598, 120 is 2

2. How to calculate the greatest common divisor of 372, 828, 598, 120?

We can find the highest common divisor of 372, 828, 598, 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 372, 828, 598, 120 i.e 2.

3. How can I use the GCD of 372, 828, 598, 120Calculator?

Out the numbers 372, 828, 598, 120 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.