GCD of 680, 558, 278, 676 Calculator

Given Input numbers are 680, 558, 278, 676

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

Divisors of 680 :

The positive integer divisors of 680 that completely divides 680 are.

1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

Divisors of 558 :

The positive integer divisors of 558 that completely divides 558 are.

1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558

Divisors of 278 :

The positive integer divisors of 278 that completely divides 278 are.

1, 2, 139, 278

Divisors of 676 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (680, 558, 278, 676) = 2.

Given numbers are 680, 558, 278, 676

The list of prime factors of all numbers are

Prime factors of 680 are 2 x 2 x 2 x 5 x 17

Prime factors of 558 are 2 x 3 x 3 x 31

Prime factors of 278 are 2 x 139

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

The highest common occurrence is 2¹

Therefore, GCD of 680, 558, 278, 676 is 2.

Given numbers are 680, 558, 278, 676

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

Apply this formula for all numbers.

Step1:

LCM(680, 558) = 189720

GCD(680, 558) = ( 680 x 558 ) / 189720

= 680 / 558

= 680

Step2:

LCM(2, 278) = 278

GCD(2, 278) = ( 2 x 278 ) / 278

= 2 / 278

= 2

Step3:

LCM(2, 676) = 676

GCD(2, 676) = ( 2 x 676 ) / 676

= 2 / 676

= 2

So, Greatest Common Divisor of 680, 558, 278, 676 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 739, 574, 233, 892
• GCD of 778, 598, 574, 608
• GCD of 576, 428, 206, 374
• GCD of 307, 578, 855, 528
• GCD of 326, 838, 913, 311

Given numbers are 680, 558, 278, 676
The greatest common divisor of numbers 680, 558, 278, 676 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 680, 558, 278, 676 is 2.

1. What is the GCD of 680, 558, 278, 676?

GCD of given numbers 680, 558, 278, 676 is 2

2. How to calculate the greatest common divisor of 680, 558, 278, 676?

We can find the highest common divisor of 680, 558, 278, 676 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 680, 558, 278, 676 i.e 2.

3. How can I use the GCD of 680, 558, 278, 676Calculator?

Out the numbers 680, 558, 278, 676 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.