GCD of 628, 380, 714, 567 Calculator

Given Input numbers are 628, 380, 714, 567

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 380 :

The positive integer divisors of 380 that completely divides 380 are.

1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

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

Divisors of 567 :

The positive integer divisors of 567 that completely divides 567 are.

1, 3, 7, 9, 21, 27, 63, 81, 189, 567

GCD of numbers is the greatest common divisor

So, the GCD (628, 380, 714, 567) = 1.

Given numbers are 628, 380, 714, 567

The list of prime factors of all numbers are

Prime factors of 628 are 2 x 2 x 157

Prime factors of 380 are 2 x 2 x 5 x 19

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

Prime factors of 567 are 3 x 3 x 3 x 3 x 7

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 628, 380, 714, 567

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

Apply this formula for all numbers.

Step1:

LCM(628, 380) = 59660

GCD(628, 380) = ( 628 x 380 ) / 59660

= 628 / 380

= 628

Step2:

LCM(4, 714) = 1428

GCD(4, 714) = ( 4 x 714 ) / 1428

= 4 / 714

= 4

Step3:

LCM(2, 567) = 1134

GCD(2, 567) = ( 2 x 567 ) / 1134

= 2 / 567

= 2

So, Greatest Common Divisor of 628, 380, 714, 567 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 347, 643, 680, 897
• GCD of 835, 173, 249, 625
• GCD of 430, 311, 390, 280
• GCD of 980, 697, 136, 637
• GCD of 914, 397, 772, 290

Given numbers are 628, 380, 714, 567
The greatest common divisor of numbers 628, 380, 714, 567 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 628, 380, 714, 567 is 1.

1. What is the GCD of 628, 380, 714, 567?

GCD of given numbers 628, 380, 714, 567 is 1

2. How to calculate the greatest common divisor of 628, 380, 714, 567?

We can find the highest common divisor of 628, 380, 714, 567 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, 380, 714, 567 i.e 1.

3. How can I use the GCD of 628, 380, 714, 567Calculator?

Out the numbers 628, 380, 714, 567 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.