GCD of 524, 972, 136, 730 Calculator

Given Input numbers are 524, 972, 136, 730

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

Divisors of 524 :

The positive integer divisors of 524 that completely divides 524 are.

1, 2, 4, 131, 262, 524

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 136 :

The positive integer divisors of 136 that completely divides 136 are.

1, 2, 4, 8, 17, 34, 68, 136

Divisors of 730 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (524, 972, 136, 730) = 2.

Given numbers are 524, 972, 136, 730

The list of prime factors of all numbers are

Prime factors of 524 are 2 x 2 x 131

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

Prime factors of 136 are 2 x 2 x 2 x 17

Prime factors of 730 are 2 x 5 x 73

The highest common occurrence is 2¹

Therefore, GCD of 524, 972, 136, 730 is 2.

Given numbers are 524, 972, 136, 730

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

Apply this formula for all numbers.

Step1:

LCM(524, 972) = 127332

GCD(524, 972) = ( 524 x 972 ) / 127332

= 524 / 972

= 524

Step2:

LCM(4, 136) = 136

GCD(4, 136) = ( 4 x 136 ) / 136

= 4 / 136

= 4

Step3:

LCM(4, 730) = 1460

GCD(4, 730) = ( 4 x 730 ) / 1460

= 4 / 730

= 4

So, Greatest Common Divisor of 524, 972, 136, 730 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 356, 194, 913, 969
• GCD of 709, 159, 466, 733
• GCD of 874, 780, 968, 857
• GCD of 754, 227, 758, 871
• GCD of 859, 598, 839, 616

Given numbers are 524, 972, 136, 730
The greatest common divisor of numbers 524, 972, 136, 730 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 524, 972, 136, 730 is 2.

1. What is the GCD of 524, 972, 136, 730?

GCD of given numbers 524, 972, 136, 730 is 2

2. How to calculate the greatest common divisor of 524, 972, 136, 730?

We can find the highest common divisor of 524, 972, 136, 730 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 524, 972, 136, 730 i.e 2.

3. How can I use the GCD of 524, 972, 136, 730Calculator?

Out the numbers 524, 972, 136, 730 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.