GCD of 506, 676, 997, 653 Calculator

Given Input numbers are 506, 676, 997, 653

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

Divisors of 506 :

The positive integer divisors of 506 that completely divides 506 are.

1, 2, 11, 22, 23, 46, 253, 506

Divisors of 676 :

The positive integer divisors of 676 that completely divides 676 are.

1, 2, 4, 13, 26, 52, 169, 338, 676

Divisors of 997 :

The positive integer divisors of 997 that completely divides 997 are.

1, 997

Divisors of 653 :

The positive integer divisors of 653 that completely divides 653 are.

1, 653

GCD of numbers is the greatest common divisor

So, the GCD (506, 676, 997, 653) = 1.

Given numbers are 506, 676, 997, 653

The list of prime factors of all numbers are

Prime factors of 506 are 2 x 11 x 23

Prime factors of 676 are 2 x 2 x 13 x 13

Prime factors of 997 are 997

Prime factors of 653 are 653

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

Given numbers are 506, 676, 997, 653

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

Apply this formula for all numbers.

Step1:

LCM(506, 676) = 171028

GCD(506, 676) = ( 506 x 676 ) / 171028

= 506 / 676

= 506

Step2:

LCM(2, 997) = 1994

GCD(2, 997) = ( 2 x 997 ) / 1994

= 2 / 997

= 2

Step3:

LCM(1, 653) = 653

GCD(1, 653) = ( 1 x 653 ) / 653

= 1 / 653

= 1

So, Greatest Common Divisor of 506, 676, 997, 653 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 756, 655, 379, 309
• GCD of 982, 936, 375, 860
• GCD of 846, 449, 908, 685
• GCD of 156, 927, 988, 460
• GCD of 666, 192, 455, 869

Given numbers are 506, 676, 997, 653
The greatest common divisor of numbers 506, 676, 997, 653 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 506, 676, 997, 653 is 1.

1. What is the GCD of 506, 676, 997, 653?

GCD of given numbers 506, 676, 997, 653 is 1

2. How to calculate the greatest common divisor of 506, 676, 997, 653?

We can find the highest common divisor of 506, 676, 997, 653 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 506, 676, 997, 653 i.e 1.

3. How can I use the GCD of 506, 676, 997, 653Calculator?

Out the numbers 506, 676, 997, 653 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.