GCD of 972, 760, 509, 995 Calculator

Given Input numbers are 972, 760, 509, 995

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 760 :

The positive integer divisors of 760 that completely divides 760 are.

1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760

Divisors of 509 :

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

1, 509

Divisors of 995 :

The positive integer divisors of 995 that completely divides 995 are.

1, 5, 199, 995

GCD of numbers is the greatest common divisor

So, the GCD (972, 760, 509, 995) = 1.

Given numbers are 972, 760, 509, 995

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 760 are 2 x 2 x 2 x 5 x 19

Prime factors of 509 are 509

Prime factors of 995 are 5 x 199

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

Given numbers are 972, 760, 509, 995

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

Apply this formula for all numbers.

Step1:

LCM(972, 760) = 184680

GCD(972, 760) = ( 972 x 760 ) / 184680

= 972 / 760

= 972

Step2:

LCM(4, 509) = 2036

GCD(4, 509) = ( 4 x 509 ) / 2036

= 4 / 509

= 4

Step3:

LCM(1, 995) = 995

GCD(1, 995) = ( 1 x 995 ) / 995

= 1 / 995

= 1

So, Greatest Common Divisor of 972, 760, 509, 995 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 768, 689, 950, 640
• GCD of 475, 805, 917, 900
• GCD of 743, 759, 332, 789
• GCD of 576, 363, 577, 402
• GCD of 616, 333, 289, 676

Given numbers are 972, 760, 509, 995
The greatest common divisor of numbers 972, 760, 509, 995 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 972, 760, 509, 995 is 1.

1. What is the GCD of 972, 760, 509, 995?

GCD of given numbers 972, 760, 509, 995 is 1

2. How to calculate the greatest common divisor of 972, 760, 509, 995?

We can find the highest common divisor of 972, 760, 509, 995 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, 760, 509, 995 i.e 1.

3. How can I use the GCD of 972, 760, 509, 995Calculator?

Out the numbers 972, 760, 509, 995 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.