GCD of 684, 252, 114, 272 Calculator

Given Input numbers are 684, 252, 114, 272

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

Divisors of 684 :

The positive integer divisors of 684 that completely divides 684 are.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

Divisors of 252 :

The positive integer divisors of 252 that completely divides 252 are.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

Divisors of 114 :

The positive integer divisors of 114 that completely divides 114 are.

1, 2, 3, 6, 19, 38, 57, 114

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 (684, 252, 114, 272) = 2.

Given numbers are 684, 252, 114, 272

The list of prime factors of all numbers are

Prime factors of 684 are 2 x 2 x 3 x 3 x 19

Prime factors of 252 are 2 x 2 x 3 x 3 x 7

Prime factors of 114 are 2 x 3 x 19

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

The highest common occurrence is 2¹

Therefore, GCD of 684, 252, 114, 272 is 2.

Given numbers are 684, 252, 114, 272

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

Apply this formula for all numbers.

Step1:

LCM(684, 252) = 4788

GCD(684, 252) = ( 684 x 252 ) / 4788

= 684 / 252

= 684

Step2:

LCM(36, 114) = 684

GCD(36, 114) = ( 36 x 114 ) / 684

= 36 / 114

= 36

Step3:

LCM(6, 272) = 816

GCD(6, 272) = ( 6 x 272 ) / 816

= 6 / 272

= 6

So, Greatest Common Divisor of 684, 252, 114, 272 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 207, 722, 435, 242
• GCD of 368, 529, 991, 121
• GCD of 508, 855, 547, 205
• GCD of 850, 811, 862, 125
• GCD of 643, 781, 130, 387

Given numbers are 684, 252, 114, 272
The greatest common divisor of numbers 684, 252, 114, 272 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 684, 252, 114, 272 is 2.

1. What is the GCD of 684, 252, 114, 272?

GCD of given numbers 684, 252, 114, 272 is 2

2. How to calculate the greatest common divisor of 684, 252, 114, 272?

We can find the highest common divisor of 684, 252, 114, 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 684, 252, 114, 272 i.e 2.

3. How can I use the GCD of 684, 252, 114, 272Calculator?

Out the numbers 684, 252, 114, 272 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.