GCD of 730, 507, 800, 972 Calculator

Given Input numbers are 730, 507, 800, 972

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

Divisors of 730 :

The positive integer divisors of 730 that completely divides 730 are.

1, 2, 5, 10, 73, 146, 365, 730

Divisors of 507 :

The positive integer divisors of 507 that completely divides 507 are.

1, 3, 13, 39, 169, 507

Divisors of 800 :

The positive integer divisors of 800 that completely divides 800 are.

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800

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

GCD of numbers is the greatest common divisor

So, the GCD (730, 507, 800, 972) = 1.

Given numbers are 730, 507, 800, 972

The list of prime factors of all numbers are

Prime factors of 730 are 2 x 5 x 73

Prime factors of 507 are 3 x 13 x 13

Prime factors of 800 are 2 x 2 x 2 x 2 x 2 x 5 x 5

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

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

Given numbers are 730, 507, 800, 972

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

Apply this formula for all numbers.

Step1:

LCM(730, 507) = 370110

GCD(730, 507) = ( 730 x 507 ) / 370110

= 730 / 507

= 730

Step2:

LCM(1, 800) = 800

GCD(1, 800) = ( 1 x 800 ) / 800

= 1 / 800

= 1

Step3:

LCM(1, 972) = 972

GCD(1, 972) = ( 1 x 972 ) / 972

= 1 / 972

= 1

So, Greatest Common Divisor of 730, 507, 800, 972 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 608, 748, 637, 727
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Given numbers are 730, 507, 800, 972
The greatest common divisor of numbers 730, 507, 800, 972 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 730, 507, 800, 972 is 1.

1. What is the GCD of 730, 507, 800, 972?

GCD of given numbers 730, 507, 800, 972 is 1

2. How to calculate the greatest common divisor of 730, 507, 800, 972?

We can find the highest common divisor of 730, 507, 800, 972 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 730, 507, 800, 972 i.e 1.

3. How can I use the GCD of 730, 507, 800, 972Calculator?

Out the numbers 730, 507, 800, 972 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.