GCD of 684, 696, 276, 972 Calculator

Given Input numbers are 684, 696, 276, 972

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 696 :

The positive integer divisors of 696 that completely divides 696 are.

1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

Divisors of 276 :

The positive integer divisors of 276 that completely divides 276 are.

1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276

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

GCD of numbers is the greatest common divisor

So, the GCD (684, 696, 276, 972) = 12.

Given numbers are 684, 696, 276, 972

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 696 are 2 x 2 x 2 x 3 x 29

Prime factors of 276 are 2 x 2 x 3 x 23

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

The highest common occurrence is 2² x 3¹

Therefore, GCD of 684, 696, 276, 972 is 12.

Given numbers are 684, 696, 276, 972

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

Apply this formula for all numbers.

Step1:

LCM(684, 696) = 39672

GCD(684, 696) = ( 684 x 696 ) / 39672

= 684 / 696

= 684

Step2:

LCM(12, 276) = 276

GCD(12, 276) = ( 12 x 276 ) / 276

= 12 / 276

= 12

Step3:

LCM(12, 972) = 972

GCD(12, 972) = ( 12 x 972 ) / 972

= 12 / 972

= 12

So, Greatest Common Divisor of 684, 696, 276, 972 is 12

Here are some samples of GCD of Numbers calculations.

• GCD of 196, 424, 247, 880
• GCD of 504, 884, 601, 470
• GCD of 407, 595, 321, 478
• GCD of 549, 343, 778, 181
• GCD of 528, 445, 747, 248

Given numbers are 684, 696, 276, 972
The greatest common divisor of numbers 684, 696, 276, 972 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 684, 696, 276, 972 is 12.

1. What is the GCD of 684, 696, 276, 972?

GCD of given numbers 684, 696, 276, 972 is 12

2. How to calculate the greatest common divisor of 684, 696, 276, 972?

We can find the highest common divisor of 684, 696, 276, 972 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, 696, 276, 972 i.e 12.

3. How can I use the GCD of 684, 696, 276, 972Calculator?

Out the numbers 684, 696, 276, 972 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.