GCD of 628, 310, 500, 672 Calculator

Given Input numbers are 628, 310, 500, 672

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

Divisors of 628 :

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

1, 2, 4, 157, 314, 628

Divisors of 310 :

The positive integer divisors of 310 that completely divides 310 are.

1, 2, 5, 10, 31, 62, 155, 310

Divisors of 500 :

The positive integer divisors of 500 that completely divides 500 are.

1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500

Divisors of 672 :

The positive integer divisors of 672 that completely divides 672 are.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672

GCD of numbers is the greatest common divisor

So, the GCD (628, 310, 500, 672) = 2.

Given numbers are 628, 310, 500, 672

The list of prime factors of all numbers are

Prime factors of 628 are 2 x 2 x 157

Prime factors of 310 are 2 x 5 x 31

Prime factors of 500 are 2 x 2 x 5 x 5 x 5

Prime factors of 672 are 2 x 2 x 2 x 2 x 2 x 3 x 7

The highest common occurrence is 2¹

Therefore, GCD of 628, 310, 500, 672 is 2.

Given numbers are 628, 310, 500, 672

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

Apply this formula for all numbers.

Step1:

LCM(628, 310) = 97340

GCD(628, 310) = ( 628 x 310 ) / 97340

= 628 / 310

= 628

Step2:

LCM(2, 500) = 500

GCD(2, 500) = ( 2 x 500 ) / 500

= 2 / 500

= 2

Step3:

LCM(2, 672) = 672

GCD(2, 672) = ( 2 x 672 ) / 672

= 2 / 672

= 2

So, Greatest Common Divisor of 628, 310, 500, 672 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 494, 921, 259, 980
• GCD of 725, 570, 795, 656
• GCD of 820, 238, 737, 564
• GCD of 114, 798, 385, 433
• GCD of 837, 881, 486, 544

Given numbers are 628, 310, 500, 672
The greatest common divisor of numbers 628, 310, 500, 672 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 628, 310, 500, 672 is 2.

1. What is the GCD of 628, 310, 500, 672?

GCD of given numbers 628, 310, 500, 672 is 2

2. How to calculate the greatest common divisor of 628, 310, 500, 672?

We can find the highest common divisor of 628, 310, 500, 672 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 628, 310, 500, 672 i.e 2.

3. How can I use the GCD of 628, 310, 500, 672Calculator?

Out the numbers 628, 310, 500, 672 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.