GCD of 296, 688, 364 Calculator

Given Input numbers are 296, 688, 364

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

Divisors of 296 :

The positive integer divisors of 296 that completely divides 296 are.

1, 2, 4, 8, 37, 74, 148, 296

Divisors of 688 :

The positive integer divisors of 688 that completely divides 688 are.

1, 2, 4, 8, 16, 43, 86, 172, 344, 688

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 (296, 688, 364) = 4.

Given numbers are 296, 688, 364

The list of prime factors of all numbers are

Prime factors of 296 are 2 x 2 x 2 x 37

Prime factors of 688 are 2 x 2 x 2 x 2 x 43

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

The highest common occurrence is 2²

Therefore, GCD of 296, 688, 364 is 4.

Given numbers are 296, 688, 364

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

Apply this formula for all numbers.

Step1:

LCM(296, 688) = 25456

GCD(296, 688) = ( 296 x 688 ) / 25456

= 296 / 688

= 296

Step2:

LCM(8, 364) = 728

GCD(8, 364) = ( 8 x 364 ) / 728

= 8 / 364

= 8

So, Greatest Common Divisor of 296, 688, 364 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 572, 739, 763
• GCD of 591, 832, 346
• GCD of 897, 205, 268
• GCD of 992, 147, 281
• GCD of 181, 892, 786

Given numbers are 296, 688, 364
The greatest common divisor of numbers 296, 688, 364 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 296, 688, 364 is 4.

1. What is the GCD of 296, 688, 364?

GCD of given numbers 296, 688, 364 is 4

2. How to calculate the greatest common divisor of 296, 688, 364?

We can find the highest common divisor of 296, 688, 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 296, 688, 364 i.e 4.

3. How can I use the GCD of 296, 688, 364Calculator?

Out the numbers 296, 688, 364 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.