GCD of 991, 456, 287, 364 Calculator

Given Input numbers are 991, 456, 287, 364

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

Divisors of 991 :

The positive integer divisors of 991 that completely divides 991 are.

1, 991

Divisors of 456 :

The positive integer divisors of 456 that completely divides 456 are.

1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

Divisors of 287 :

The positive integer divisors of 287 that completely divides 287 are.

1, 7, 41, 287

Divisors of 364 :

The positive integer divisors of 364 that completely divides 364 are.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

GCD of numbers is the greatest common divisor

So, the GCD (991, 456, 287, 364) = 1.

Given numbers are 991, 456, 287, 364

The list of prime factors of all numbers are

Prime factors of 991 are 991

Prime factors of 456 are 2 x 2 x 2 x 3 x 19

Prime factors of 287 are 7 x 41

Prime factors of 364 are 2 x 2 x 7 x 13

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

Given numbers are 991, 456, 287, 364

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

Apply this formula for all numbers.

Step1:

LCM(991, 456) = 451896

GCD(991, 456) = ( 991 x 456 ) / 451896

= 991 / 456

= 991

Step2:

LCM(1, 287) = 287

GCD(1, 287) = ( 1 x 287 ) / 287

= 1 / 287

= 1

Step3:

LCM(1, 364) = 364

GCD(1, 364) = ( 1 x 364 ) / 364

= 1 / 364

= 1

So, Greatest Common Divisor of 991, 456, 287, 364 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 794, 330, 492, 568
• GCD of 997, 513, 117, 531
• GCD of 628, 745, 828, 204
• GCD of 349, 482, 521, 997
• GCD of 963, 738, 586, 463

Given numbers are 991, 456, 287, 364
The greatest common divisor of numbers 991, 456, 287, 364 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 991, 456, 287, 364 is 1.

1. What is the GCD of 991, 456, 287, 364?

GCD of given numbers 991, 456, 287, 364 is 1

2. How to calculate the greatest common divisor of 991, 456, 287, 364?

We can find the highest common divisor of 991, 456, 287, 364 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 991, 456, 287, 364 i.e 1.

3. How can I use the GCD of 991, 456, 287, 364Calculator?

Out the numbers 991, 456, 287, 364 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.