GCD of 276, 828, 708, 684 Calculator

Given Input numbers are 276, 828, 708, 684

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

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 828 :

The positive integer divisors of 828 that completely divides 828 are.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

Divisors of 708 :

The positive integer divisors of 708 that completely divides 708 are.

1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

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

GCD of numbers is the greatest common divisor

So, the GCD (276, 828, 708, 684) = 12.

Given numbers are 276, 828, 708, 684

The list of prime factors of all numbers are

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

Prime factors of 828 are 2 x 2 x 3 x 3 x 23

Prime factors of 708 are 2 x 2 x 3 x 59

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

The highest common occurrence is 2² x 3¹

Therefore, GCD of 276, 828, 708, 684 is 12.

Given numbers are 276, 828, 708, 684

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

Apply this formula for all numbers.

Step1:

LCM(276, 828) = 828

GCD(276, 828) = ( 276 x 828 ) / 828

= 276 / 828

= 276

Step2:

LCM(276, 708) = 16284

GCD(276, 708) = ( 276 x 708 ) / 16284

= 276 / 708

= 276

Step3:

LCM(12, 684) = 684

GCD(12, 684) = ( 12 x 684 ) / 684

= 12 / 684

= 12

So, Greatest Common Divisor of 276, 828, 708, 684 is 12

Here are some samples of GCD of Numbers calculations.

• GCD of 639, 997, 924, 319
• GCD of 876, 656, 347, 939
• GCD of 794, 756, 355, 252
• GCD of 349, 275, 211, 586
• GCD of 985, 649, 232, 258

Given numbers are 276, 828, 708, 684
The greatest common divisor of numbers 276, 828, 708, 684 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 276, 828, 708, 684 is 12.

1. What is the GCD of 276, 828, 708, 684?

GCD of given numbers 276, 828, 708, 684 is 12

2. How to calculate the greatest common divisor of 276, 828, 708, 684?

We can find the highest common divisor of 276, 828, 708, 684 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 276, 828, 708, 684 i.e 12.

3. How can I use the GCD of 276, 828, 708, 684Calculator?

Out the numbers 276, 828, 708, 684 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.