GCD of 272, 754, 136, 364 Calculator

Given Input numbers are 272, 754, 136, 364

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 754 :

The positive integer divisors of 754 that completely divides 754 are.

1, 2, 13, 26, 29, 58, 377, 754

Divisors of 136 :

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

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

Divisors of 364 :

The positive integer divisors of 364 that completely divides 364 are.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

GCD of numbers is the greatest common divisor

So, the GCD (272, 754, 136, 364) = 2.

Given numbers are 272, 754, 136, 364

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 754 are 2 x 13 x 29

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

Prime factors of 364 are 2 x 2 x 7 x 13

The highest common occurrence is 2¹

Therefore, GCD of 272, 754, 136, 364 is 2.

Given numbers are 272, 754, 136, 364

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

Apply this formula for all numbers.

Step1:

LCM(272, 754) = 102544

GCD(272, 754) = ( 272 x 754 ) / 102544

= 272 / 754

= 272

Step2:

LCM(2, 136) = 136

GCD(2, 136) = ( 2 x 136 ) / 136

= 2 / 136

= 2

Step3:

LCM(2, 364) = 364

GCD(2, 364) = ( 2 x 364 ) / 364

= 2 / 364

= 2

So, Greatest Common Divisor of 272, 754, 136, 364 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 620, 645, 259, 225
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• GCD of 870, 934, 976, 246

Given numbers are 272, 754, 136, 364
The greatest common divisor of numbers 272, 754, 136, 364 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 272, 754, 136, 364 is 2.

1. What is the GCD of 272, 754, 136, 364?

GCD of given numbers 272, 754, 136, 364 is 2

2. How to calculate the greatest common divisor of 272, 754, 136, 364?

We can find the highest common divisor of 272, 754, 136, 364 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, 754, 136, 364 i.e 2.

3. How can I use the GCD of 272, 754, 136, 364Calculator?

Out the numbers 272, 754, 136, 364 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.