GCD of 231, 979, 114, 480 Calculator

Given Input numbers are 231, 979, 114, 480

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

Divisors of 231 :

The positive integer divisors of 231 that completely divides 231 are.

1, 3, 7, 11, 21, 33, 77, 231

Divisors of 979 :

The positive integer divisors of 979 that completely divides 979 are.

1, 11, 89, 979

Divisors of 114 :

The positive integer divisors of 114 that completely divides 114 are.

1, 2, 3, 6, 19, 38, 57, 114

Divisors of 480 :

The positive integer divisors of 480 that completely divides 480 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

GCD of numbers is the greatest common divisor

So, the GCD (231, 979, 114, 480) = 1.

Given numbers are 231, 979, 114, 480

The list of prime factors of all numbers are

Prime factors of 231 are 3 x 7 x 11

Prime factors of 979 are 11 x 89

Prime factors of 114 are 2 x 3 x 19

Prime factors of 480 are 2 x 2 x 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 231, 979, 114, 480

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

Apply this formula for all numbers.

Step1:

LCM(231, 979) = 20559

GCD(231, 979) = ( 231 x 979 ) / 20559

= 231 / 979

= 231

Step2:

LCM(11, 114) = 1254

GCD(11, 114) = ( 11 x 114 ) / 1254

= 11 / 114

= 11

Step3:

LCM(1, 480) = 480

GCD(1, 480) = ( 1 x 480 ) / 480

= 1 / 480

= 1

So, Greatest Common Divisor of 231, 979, 114, 480 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 565, 990, 208, 320
• GCD of 568, 242, 386, 288
• GCD of 312, 643, 160, 992
• GCD of 358, 854, 680, 242
• GCD of 142, 698, 125, 585

Given numbers are 231, 979, 114, 480
The greatest common divisor of numbers 231, 979, 114, 480 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 231, 979, 114, 480 is 1.

1. What is the GCD of 231, 979, 114, 480?

GCD of given numbers 231, 979, 114, 480 is 1

2. How to calculate the greatest common divisor of 231, 979, 114, 480?

We can find the highest common divisor of 231, 979, 114, 480 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 231, 979, 114, 480 i.e 1.

3. How can I use the GCD of 231, 979, 114, 480Calculator?

Out the numbers 231, 979, 114, 480 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.