GCD of 963, 135, 114, 316 Calculator

Given Input numbers are 963, 135, 114, 316

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

Divisors of 963 :

The positive integer divisors of 963 that completely divides 963 are.

1, 3, 9, 107, 321, 963

Divisors of 135 :

The positive integer divisors of 135 that completely divides 135 are.

1, 3, 5, 9, 15, 27, 45, 135

Divisors of 114 :

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

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

Divisors of 316 :

The positive integer divisors of 316 that completely divides 316 are.

1, 2, 4, 79, 158, 316

GCD of numbers is the greatest common divisor

So, the GCD (963, 135, 114, 316) = 1.

Given numbers are 963, 135, 114, 316

The list of prime factors of all numbers are

Prime factors of 963 are 3 x 3 x 107

Prime factors of 135 are 3 x 3 x 3 x 5

Prime factors of 114 are 2 x 3 x 19

Prime factors of 316 are 2 x 2 x 79

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 963, 135, 114, 316

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

Apply this formula for all numbers.

Step1:

LCM(963, 135) = 14445

GCD(963, 135) = ( 963 x 135 ) / 14445

= 963 / 135

= 963

Step2:

LCM(9, 114) = 342

GCD(9, 114) = ( 9 x 114 ) / 342

= 9 / 114

= 9

Step3:

LCM(3, 316) = 948

GCD(3, 316) = ( 3 x 316 ) / 948

= 3 / 316

= 3

So, Greatest Common Divisor of 963, 135, 114, 316 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 977, 443, 870, 685
• GCD of 459, 850, 434, 359
• GCD of 403, 273, 188, 721
• GCD of 295, 157, 133, 534
• GCD of 579, 497, 532, 776

Given numbers are 963, 135, 114, 316
The greatest common divisor of numbers 963, 135, 114, 316 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 963, 135, 114, 316 is 1.

1. What is the GCD of 963, 135, 114, 316?

GCD of given numbers 963, 135, 114, 316 is 1

2. How to calculate the greatest common divisor of 963, 135, 114, 316?

We can find the highest common divisor of 963, 135, 114, 316 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 963, 135, 114, 316 i.e 1.

3. How can I use the GCD of 963, 135, 114, 316Calculator?

Out the numbers 963, 135, 114, 316 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.