GCD of 228, 700, 688, 676 Calculator

Given Input numbers are 228, 700, 688, 676

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

Divisors of 228 :

The positive integer divisors of 228 that completely divides 228 are.

1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228

Divisors of 700 :

The positive integer divisors of 700 that completely divides 700 are.

1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700

Divisors of 688 :

The positive integer divisors of 688 that completely divides 688 are.

1, 2, 4, 8, 16, 43, 86, 172, 344, 688

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 (228, 700, 688, 676) = 4.

Given numbers are 228, 700, 688, 676

The list of prime factors of all numbers are

Prime factors of 228 are 2 x 2 x 3 x 19

Prime factors of 700 are 2 x 2 x 5 x 5 x 7

Prime factors of 688 are 2 x 2 x 2 x 2 x 43

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

The highest common occurrence is 2²

Therefore, GCD of 228, 700, 688, 676 is 4.

Given numbers are 228, 700, 688, 676

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

Apply this formula for all numbers.

Step1:

LCM(228, 700) = 39900

GCD(228, 700) = ( 228 x 700 ) / 39900

= 228 / 700

= 228

Step2:

LCM(4, 688) = 688

GCD(4, 688) = ( 4 x 688 ) / 688

= 4 / 688

= 4

Step3:

LCM(4, 676) = 676

GCD(4, 676) = ( 4 x 676 ) / 676

= 4 / 676

= 4

So, Greatest Common Divisor of 228, 700, 688, 676 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 890, 699, 539, 722
• GCD of 897, 312, 489, 543
• GCD of 489, 364, 430, 161
• GCD of 140, 295, 872, 702
• GCD of 786, 718, 629, 493

Given numbers are 228, 700, 688, 676
The greatest common divisor of numbers 228, 700, 688, 676 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 228, 700, 688, 676 is 4.

1. What is the GCD of 228, 700, 688, 676?

GCD of given numbers 228, 700, 688, 676 is 4

2. How to calculate the greatest common divisor of 228, 700, 688, 676?

We can find the highest common divisor of 228, 700, 688, 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 228, 700, 688, 676 i.e 4.

3. How can I use the GCD of 228, 700, 688, 676Calculator?

Out the numbers 228, 700, 688, 676 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.