GCD of 302, 527, 660, 272 Calculator

Given Input numbers are 302, 527, 660, 272

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

Divisors of 302 :

The positive integer divisors of 302 that completely divides 302 are.

1, 2, 151, 302

Divisors of 527 :

The positive integer divisors of 527 that completely divides 527 are.

1, 17, 31, 527

Divisors of 660 :

The positive integer divisors of 660 that completely divides 660 are.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

Divisors of 272 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (302, 527, 660, 272) = 1.

Given numbers are 302, 527, 660, 272

The list of prime factors of all numbers are

Prime factors of 302 are 2 x 151

Prime factors of 527 are 17 x 31

Prime factors of 660 are 2 x 2 x 3 x 5 x 11

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

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

Given numbers are 302, 527, 660, 272

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

Apply this formula for all numbers.

Step1:

LCM(302, 527) = 159154

GCD(302, 527) = ( 302 x 527 ) / 159154

= 302 / 527

= 302

Step2:

LCM(1, 660) = 660

GCD(1, 660) = ( 1 x 660 ) / 660

= 1 / 660

= 1

Step3:

LCM(1, 272) = 272

GCD(1, 272) = ( 1 x 272 ) / 272

= 1 / 272

= 1

So, Greatest Common Divisor of 302, 527, 660, 272 is 1

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Given numbers are 302, 527, 660, 272
The greatest common divisor of numbers 302, 527, 660, 272 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 302, 527, 660, 272 is 1.

1. What is the GCD of 302, 527, 660, 272?

GCD of given numbers 302, 527, 660, 272 is 1

2. How to calculate the greatest common divisor of 302, 527, 660, 272?

We can find the highest common divisor of 302, 527, 660, 272 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 302, 527, 660, 272 i.e 1.

3. How can I use the GCD of 302, 527, 660, 272Calculator?

Out the numbers 302, 527, 660, 272 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.