GCD of 296, 684, 346, 664 Calculator

Given Input numbers are 296, 684, 346, 664

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 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 346 :

The positive integer divisors of 346 that completely divides 346 are.

1, 2, 173, 346

Divisors of 664 :

The positive integer divisors of 664 that completely divides 664 are.

1, 2, 4, 8, 83, 166, 332, 664

GCD of numbers is the greatest common divisor

So, the GCD (296, 684, 346, 664) = 2.

Given numbers are 296, 684, 346, 664

The list of prime factors of all numbers are

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

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

Prime factors of 346 are 2 x 173

Prime factors of 664 are 2 x 2 x 2 x 83

The highest common occurrence is 2¹

Therefore, GCD of 296, 684, 346, 664 is 2.

Given numbers are 296, 684, 346, 664

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

Apply this formula for all numbers.

Step1:

LCM(296, 684) = 50616

GCD(296, 684) = ( 296 x 684 ) / 50616

= 296 / 684

= 296

Step2:

LCM(4, 346) = 692

GCD(4, 346) = ( 4 x 346 ) / 692

= 4 / 346

= 4

Step3:

LCM(2, 664) = 664

GCD(2, 664) = ( 2 x 664 ) / 664

= 2 / 664

= 2

So, Greatest Common Divisor of 296, 684, 346, 664 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 785, 879, 800, 969
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Given numbers are 296, 684, 346, 664
The greatest common divisor of numbers 296, 684, 346, 664 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 296, 684, 346, 664 is 2.

1. What is the GCD of 296, 684, 346, 664?

GCD of given numbers 296, 684, 346, 664 is 2

2. How to calculate the greatest common divisor of 296, 684, 346, 664?

We can find the highest common divisor of 296, 684, 346, 664 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, 684, 346, 664 i.e 2.

3. How can I use the GCD of 296, 684, 346, 664Calculator?

Out the numbers 296, 684, 346, 664 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.