GCD of 676, 376, 282 Calculator

Given Input numbers are 676, 376, 282

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 376 :

The positive integer divisors of 376 that completely divides 376 are.

1, 2, 4, 8, 47, 94, 188, 376

Divisors of 282 :

The positive integer divisors of 282 that completely divides 282 are.

1, 2, 3, 6, 47, 94, 141, 282

GCD of numbers is the greatest common divisor

So, the GCD (676, 376, 282) = 2.

Given numbers are 676, 376, 282

The list of prime factors of all numbers are

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

Prime factors of 376 are 2 x 2 x 2 x 47

Prime factors of 282 are 2 x 3 x 47

The highest common occurrence is 2¹

Therefore, GCD of 676, 376, 282 is 2.

Given numbers are 676, 376, 282

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

Apply this formula for all numbers.

Step1:

LCM(676, 376) = 63544

GCD(676, 376) = ( 676 x 376 ) / 63544

= 676 / 376

= 676

Step2:

LCM(4, 282) = 564

GCD(4, 282) = ( 4 x 282 ) / 564

= 4 / 282

= 4

So, Greatest Common Divisor of 676, 376, 282 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 368, 259, 652
• GCD of 625, 109, 735
• GCD of 515, 891, 375
• GCD of 253, 845, 468
• GCD of 791, 146, 180

Given numbers are 676, 376, 282
The greatest common divisor of numbers 676, 376, 282 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 676, 376, 282 is 2.

1. What is the GCD of 676, 376, 282?

GCD of given numbers 676, 376, 282 is 2

2. How to calculate the greatest common divisor of 676, 376, 282?

We can find the highest common divisor of 676, 376, 282 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, 376, 282 i.e 2.

3. How can I use the GCD of 676, 376, 282Calculator?

Out the numbers 676, 376, 282 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.