GCD of 676, 326, 562, 354 Calculator

Given Input numbers are 676, 326, 562, 354

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 326 :

The positive integer divisors of 326 that completely divides 326 are.

1, 2, 163, 326

Divisors of 562 :

The positive integer divisors of 562 that completely divides 562 are.

1, 2, 281, 562

Divisors of 354 :

The positive integer divisors of 354 that completely divides 354 are.

1, 2, 3, 6, 59, 118, 177, 354

GCD of numbers is the greatest common divisor

So, the GCD (676, 326, 562, 354) = 2.

Given numbers are 676, 326, 562, 354

The list of prime factors of all numbers are

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

Prime factors of 326 are 2 x 163

Prime factors of 562 are 2 x 281

Prime factors of 354 are 2 x 3 x 59

The highest common occurrence is 2¹

Therefore, GCD of 676, 326, 562, 354 is 2.

Given numbers are 676, 326, 562, 354

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

Apply this formula for all numbers.

Step1:

LCM(676, 326) = 110188

GCD(676, 326) = ( 676 x 326 ) / 110188

= 676 / 326

= 676

Step2:

LCM(2, 562) = 562

GCD(2, 562) = ( 2 x 562 ) / 562

= 2 / 562

= 2

Step3:

LCM(2, 354) = 354

GCD(2, 354) = ( 2 x 354 ) / 354

= 2 / 354

= 2

So, Greatest Common Divisor of 676, 326, 562, 354 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 393, 790, 543, 828
• GCD of 727, 500, 923, 201
• GCD of 568, 251, 654, 441
• GCD of 991, 206, 587, 606
• GCD of 832, 818, 145, 322

Given numbers are 676, 326, 562, 354
The greatest common divisor of numbers 676, 326, 562, 354 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 676, 326, 562, 354 is 2.

1. What is the GCD of 676, 326, 562, 354?

GCD of given numbers 676, 326, 562, 354 is 2

2. How to calculate the greatest common divisor of 676, 326, 562, 354?

We can find the highest common divisor of 676, 326, 562, 354 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, 326, 562, 354 i.e 2.

3. How can I use the GCD of 676, 326, 562, 354Calculator?

Out the numbers 676, 326, 562, 354 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.