GCD of 676, 574, 328, 716 Calculator

Given Input numbers are 676, 574, 328, 716

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

Divisors of 676 :

The positive integer divisors of 676 that completely divides 676 are.

1, 2, 4, 13, 26, 52, 169, 338, 676

Divisors of 574 :

The positive integer divisors of 574 that completely divides 574 are.

1, 2, 7, 14, 41, 82, 287, 574

Divisors of 328 :

The positive integer divisors of 328 that completely divides 328 are.

1, 2, 4, 8, 41, 82, 164, 328

Divisors of 716 :

The positive integer divisors of 716 that completely divides 716 are.

1, 2, 4, 179, 358, 716

GCD of numbers is the greatest common divisor

So, the GCD (676, 574, 328, 716) = 2.

Given numbers are 676, 574, 328, 716

The list of prime factors of all numbers are

Prime factors of 676 are 2 x 2 x 13 x 13

Prime factors of 574 are 2 x 7 x 41

Prime factors of 328 are 2 x 2 x 2 x 41

Prime factors of 716 are 2 x 2 x 179

The highest common occurrence is 2¹

Therefore, GCD of 676, 574, 328, 716 is 2.

Given numbers are 676, 574, 328, 716

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

Apply this formula for all numbers.

Step1:

LCM(676, 574) = 194012

GCD(676, 574) = ( 676 x 574 ) / 194012

= 676 / 574

= 676

Step2:

LCM(2, 328) = 328

GCD(2, 328) = ( 2 x 328 ) / 328

= 2 / 328

= 2

Step3:

LCM(2, 716) = 716

GCD(2, 716) = ( 2 x 716 ) / 716

= 2 / 716

= 2

So, Greatest Common Divisor of 676, 574, 328, 716 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 498, 563, 113, 867
• GCD of 234, 711, 591, 370
• GCD of 572, 176, 519, 991
• GCD of 560, 549, 875, 949
• GCD of 659, 597, 840, 530

Given numbers are 676, 574, 328, 716
The greatest common divisor of numbers 676, 574, 328, 716 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 676, 574, 328, 716 is 2.

1. What is the GCD of 676, 574, 328, 716?

GCD of given numbers 676, 574, 328, 716 is 2

2. How to calculate the greatest common divisor of 676, 574, 328, 716?

We can find the highest common divisor of 676, 574, 328, 716 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 676, 574, 328, 716 i.e 2.

3. How can I use the GCD of 676, 574, 328, 716Calculator?

Out the numbers 676, 574, 328, 716 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.