GCD of 972, 498, 685, 509 Calculator

Given Input numbers are 972, 498, 685, 509

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

Divisors of 972 :

The positive integer divisors of 972 that completely divides 972 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

Divisors of 498 :

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

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

Divisors of 685 :

The positive integer divisors of 685 that completely divides 685 are.

1, 5, 137, 685

Divisors of 509 :

The positive integer divisors of 509 that completely divides 509 are.

1, 509

GCD of numbers is the greatest common divisor

So, the GCD (972, 498, 685, 509) = 1.

Given numbers are 972, 498, 685, 509

The list of prime factors of all numbers are

Prime factors of 972 are 2 x 2 x 3 x 3 x 3 x 3 x 3

Prime factors of 498 are 2 x 3 x 83

Prime factors of 685 are 5 x 137

Prime factors of 509 are 509

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

Given numbers are 972, 498, 685, 509

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

Apply this formula for all numbers.

Step1:

LCM(972, 498) = 80676

GCD(972, 498) = ( 972 x 498 ) / 80676

= 972 / 498

= 972

Step2:

LCM(6, 685) = 4110

GCD(6, 685) = ( 6 x 685 ) / 4110

= 6 / 685

= 6

Step3:

LCM(1, 509) = 509

GCD(1, 509) = ( 1 x 509 ) / 509

= 1 / 509

= 1

So, Greatest Common Divisor of 972, 498, 685, 509 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 868, 132, 527, 702
• GCD of 311, 313, 428, 764
• GCD of 364, 244, 986, 545
• GCD of 440, 192, 415, 150
• GCD of 378, 364, 293, 944

Given numbers are 972, 498, 685, 509
The greatest common divisor of numbers 972, 498, 685, 509 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 972, 498, 685, 509 is 1.

1. What is the GCD of 972, 498, 685, 509?

GCD of given numbers 972, 498, 685, 509 is 1

2. How to calculate the greatest common divisor of 972, 498, 685, 509?

We can find the highest common divisor of 972, 498, 685, 509 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 972, 498, 685, 509 i.e 1.

3. How can I use the GCD of 972, 498, 685, 509Calculator?

Out the numbers 972, 498, 685, 509 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.