GCD of 628, 790, 780, 714 Calculator

Given Input numbers are 628, 790, 780, 714

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 790 :

The positive integer divisors of 790 that completely divides 790 are.

1, 2, 5, 10, 79, 158, 395, 790

Divisors of 780 :

The positive integer divisors of 780 that completely divides 780 are.

1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

Divisors of 714 :

The positive integer divisors of 714 that completely divides 714 are.

1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

GCD of numbers is the greatest common divisor

So, the GCD (628, 790, 780, 714) = 2.

Given numbers are 628, 790, 780, 714

The list of prime factors of all numbers are

Prime factors of 628 are 2 x 2 x 157

Prime factors of 790 are 2 x 5 x 79

Prime factors of 780 are 2 x 2 x 3 x 5 x 13

Prime factors of 714 are 2 x 3 x 7 x 17

The highest common occurrence is 2¹

Therefore, GCD of 628, 790, 780, 714 is 2.

Given numbers are 628, 790, 780, 714

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

Apply this formula for all numbers.

Step1:

LCM(628, 790) = 248060

GCD(628, 790) = ( 628 x 790 ) / 248060

= 628 / 790

= 628

Step2:

LCM(2, 780) = 780

GCD(2, 780) = ( 2 x 780 ) / 780

= 2 / 780

= 2

Step3:

LCM(2, 714) = 714

GCD(2, 714) = ( 2 x 714 ) / 714

= 2 / 714

= 2

So, Greatest Common Divisor of 628, 790, 780, 714 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 248, 907, 986, 625
• GCD of 840, 109, 522, 170
• GCD of 708, 353, 100, 927
• GCD of 790, 489, 835, 747
• GCD of 201, 560, 774, 936

Given numbers are 628, 790, 780, 714
The greatest common divisor of numbers 628, 790, 780, 714 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 628, 790, 780, 714 is 2.

1. What is the GCD of 628, 790, 780, 714?

GCD of given numbers 628, 790, 780, 714 is 2

2. How to calculate the greatest common divisor of 628, 790, 780, 714?

We can find the highest common divisor of 628, 790, 780, 714 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, 790, 780, 714 i.e 2.

3. How can I use the GCD of 628, 790, 780, 714Calculator?

Out the numbers 628, 790, 780, 714 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.