GCD of 210, 676, 456, 628 Calculator

Given Input numbers are 210, 676, 456, 628

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

Divisors of 210 :

The positive integer divisors of 210 that completely divides 210 are.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210

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 456 :

The positive integer divisors of 456 that completely divides 456 are.

1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

Divisors of 628 :

The positive integer divisors of 628 that completely divides 628 are.

1, 2, 4, 157, 314, 628

GCD of numbers is the greatest common divisor

So, the GCD (210, 676, 456, 628) = 2.

Given numbers are 210, 676, 456, 628

The list of prime factors of all numbers are

Prime factors of 210 are 2 x 3 x 5 x 7

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

Prime factors of 456 are 2 x 2 x 2 x 3 x 19

Prime factors of 628 are 2 x 2 x 157

The highest common occurrence is 2¹

Therefore, GCD of 210, 676, 456, 628 is 2.

Given numbers are 210, 676, 456, 628

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

Apply this formula for all numbers.

Step1:

LCM(210, 676) = 70980

GCD(210, 676) = ( 210 x 676 ) / 70980

= 210 / 676

= 210

Step2:

LCM(2, 456) = 456

GCD(2, 456) = ( 2 x 456 ) / 456

= 2 / 456

= 2

Step3:

LCM(2, 628) = 628

GCD(2, 628) = ( 2 x 628 ) / 628

= 2 / 628

= 2

So, Greatest Common Divisor of 210, 676, 456, 628 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 195, 234, 456, 124
• GCD of 968, 115, 359, 501
• GCD of 957, 730, 826, 999
• GCD of 152, 456, 754, 663
• GCD of 881, 242, 565, 419

Given numbers are 210, 676, 456, 628
The greatest common divisor of numbers 210, 676, 456, 628 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 210, 676, 456, 628 is 2.

1. What is the GCD of 210, 676, 456, 628?

GCD of given numbers 210, 676, 456, 628 is 2

2. How to calculate the greatest common divisor of 210, 676, 456, 628?

We can find the highest common divisor of 210, 676, 456, 628 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 210, 676, 456, 628 i.e 2.

3. How can I use the GCD of 210, 676, 456, 628Calculator?

Out the numbers 210, 676, 456, 628 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.