GCD of 272, 756, 724, 602 Calculator

Given Input numbers are 272, 756, 724, 602

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

Divisors of 272 :

The positive integer divisors of 272 that completely divides 272 are.

1, 2, 4, 8, 16, 17, 34, 68, 136, 272

Divisors of 756 :

The positive integer divisors of 756 that completely divides 756 are.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

Divisors of 724 :

The positive integer divisors of 724 that completely divides 724 are.

1, 2, 4, 181, 362, 724

Divisors of 602 :

The positive integer divisors of 602 that completely divides 602 are.

1, 2, 7, 14, 43, 86, 301, 602

GCD of numbers is the greatest common divisor

So, the GCD (272, 756, 724, 602) = 2.

Given numbers are 272, 756, 724, 602

The list of prime factors of all numbers are

Prime factors of 272 are 2 x 2 x 2 x 2 x 17

Prime factors of 756 are 2 x 2 x 3 x 3 x 3 x 7

Prime factors of 724 are 2 x 2 x 181

Prime factors of 602 are 2 x 7 x 43

The highest common occurrence is 2¹

Therefore, GCD of 272, 756, 724, 602 is 2.

Given numbers are 272, 756, 724, 602

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

Apply this formula for all numbers.

Step1:

LCM(272, 756) = 51408

GCD(272, 756) = ( 272 x 756 ) / 51408

= 272 / 756

= 272

Step2:

LCM(4, 724) = 724

GCD(4, 724) = ( 4 x 724 ) / 724

= 4 / 724

= 4

Step3:

LCM(4, 602) = 1204

GCD(4, 602) = ( 4 x 602 ) / 1204

= 4 / 602

= 4

So, Greatest Common Divisor of 272, 756, 724, 602 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 580, 197, 189, 582
• GCD of 164, 353, 413, 771
• GCD of 539, 563, 171, 777
• GCD of 644, 529, 537, 153
• GCD of 795, 894, 637, 134

Given numbers are 272, 756, 724, 602
The greatest common divisor of numbers 272, 756, 724, 602 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 272, 756, 724, 602 is 2.

1. What is the GCD of 272, 756, 724, 602?

GCD of given numbers 272, 756, 724, 602 is 2

2. How to calculate the greatest common divisor of 272, 756, 724, 602?

We can find the highest common divisor of 272, 756, 724, 602 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 272, 756, 724, 602 i.e 2.

3. How can I use the GCD of 272, 756, 724, 602Calculator?

Out the numbers 272, 756, 724, 602 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.