GCD of 920, 898, 558, 676 Calculator

Given Input numbers are 920, 898, 558, 676

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

Divisors of 920 :

The positive integer divisors of 920 that completely divides 920 are.

1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

Divisors of 898 :

The positive integer divisors of 898 that completely divides 898 are.

1, 2, 449, 898

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 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 (920, 898, 558, 676) = 2.

Given numbers are 920, 898, 558, 676

The list of prime factors of all numbers are

Prime factors of 920 are 2 x 2 x 2 x 5 x 23

Prime factors of 898 are 2 x 449

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

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

The highest common occurrence is 2¹

Therefore, GCD of 920, 898, 558, 676 is 2.

Given numbers are 920, 898, 558, 676

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

Apply this formula for all numbers.

Step1:

LCM(920, 898) = 413080

GCD(920, 898) = ( 920 x 898 ) / 413080

= 920 / 898

= 920

Step2:

LCM(2, 558) = 558

GCD(2, 558) = ( 2 x 558 ) / 558

= 2 / 558

= 2

Step3:

LCM(2, 676) = 676

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

= 2 / 676

= 2

So, Greatest Common Divisor of 920, 898, 558, 676 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 330, 919, 942, 795
• GCD of 791, 613, 159, 162
• GCD of 974, 244, 311, 749
• GCD of 694, 269, 226, 190
• GCD of 169, 777, 890, 470

Given numbers are 920, 898, 558, 676
The greatest common divisor of numbers 920, 898, 558, 676 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 920, 898, 558, 676 is 2.

1. What is the GCD of 920, 898, 558, 676?

GCD of given numbers 920, 898, 558, 676 is 2

2. How to calculate the greatest common divisor of 920, 898, 558, 676?

We can find the highest common divisor of 920, 898, 558, 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 920, 898, 558, 676 i.e 2.

3. How can I use the GCD of 920, 898, 558, 676Calculator?

Out the numbers 920, 898, 558, 676 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.