GCD of 399, 498, 975, 120 Calculator

Given Input numbers are 399, 498, 975, 120

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

Divisors of 399 :

The positive integer divisors of 399 that completely divides 399 are.

1, 3, 7, 19, 21, 57, 133, 399

Divisors of 498 :

The positive integer divisors of 498 that completely divides 498 are.

1, 2, 3, 6, 83, 166, 249, 498

Divisors of 975 :

The positive integer divisors of 975 that completely divides 975 are.

1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975

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 (399, 498, 975, 120) = 3.

Given numbers are 399, 498, 975, 120

The list of prime factors of all numbers are

Prime factors of 399 are 3 x 7 x 19

Prime factors of 498 are 2 x 3 x 83

Prime factors of 975 are 3 x 5 x 5 x 13

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

The highest common occurrence is 3¹

Therefore, GCD of 399, 498, 975, 120 is 3.

Given numbers are 399, 498, 975, 120

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

Apply this formula for all numbers.

Step1:

LCM(399, 498) = 66234

GCD(399, 498) = ( 399 x 498 ) / 66234

= 399 / 498

= 399

Step2:

LCM(3, 975) = 975

GCD(3, 975) = ( 3 x 975 ) / 975

= 3 / 975

= 3

Step3:

LCM(3, 120) = 120

GCD(3, 120) = ( 3 x 120 ) / 120

= 3 / 120

= 3

So, Greatest Common Divisor of 399, 498, 975, 120 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 398, 151, 532, 814
• GCD of 553, 328, 365, 844
• GCD of 394, 553, 202, 463
• GCD of 524, 419, 887, 179
• GCD of 729, 716, 717, 860

Given numbers are 399, 498, 975, 120
The greatest common divisor of numbers 399, 498, 975, 120 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 399, 498, 975, 120 is 3.

1. What is the GCD of 399, 498, 975, 120?

GCD of given numbers 399, 498, 975, 120 is 3

2. How to calculate the greatest common divisor of 399, 498, 975, 120?

We can find the highest common divisor of 399, 498, 975, 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 399, 498, 975, 120 i.e 3.

3. How can I use the GCD of 399, 498, 975, 120Calculator?

Out the numbers 399, 498, 975, 120 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.