GCD of 422, 645, 748, 680 Calculator

Given Input numbers are 422, 645, 748, 680

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

Divisors of 422 :

The positive integer divisors of 422 that completely divides 422 are.

1, 2, 211, 422

Divisors of 645 :

The positive integer divisors of 645 that completely divides 645 are.

1, 3, 5, 15, 43, 129, 215, 645

Divisors of 748 :

The positive integer divisors of 748 that completely divides 748 are.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

Divisors of 680 :

The positive integer divisors of 680 that completely divides 680 are.

1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

GCD of numbers is the greatest common divisor

So, the GCD (422, 645, 748, 680) = 1.

Given numbers are 422, 645, 748, 680

The list of prime factors of all numbers are

Prime factors of 422 are 2 x 211

Prime factors of 645 are 3 x 5 x 43

Prime factors of 748 are 2 x 2 x 11 x 17

Prime factors of 680 are 2 x 2 x 2 x 5 x 17

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

Given numbers are 422, 645, 748, 680

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

Apply this formula for all numbers.

Step1:

LCM(422, 645) = 272190

GCD(422, 645) = ( 422 x 645 ) / 272190

= 422 / 645

= 422

Step2:

LCM(1, 748) = 748

GCD(1, 748) = ( 1 x 748 ) / 748

= 1 / 748

= 1

Step3:

LCM(1, 680) = 680

GCD(1, 680) = ( 1 x 680 ) / 680

= 1 / 680

= 1

So, Greatest Common Divisor of 422, 645, 748, 680 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 447, 846, 388, 992
• GCD of 714, 353, 632, 817
• GCD of 588, 837, 271, 233
• GCD of 758, 902, 179, 829
• GCD of 112, 266, 415, 608

Given numbers are 422, 645, 748, 680
The greatest common divisor of numbers 422, 645, 748, 680 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 422, 645, 748, 680 is 1.

1. What is the GCD of 422, 645, 748, 680?

GCD of given numbers 422, 645, 748, 680 is 1

2. How to calculate the greatest common divisor of 422, 645, 748, 680?

We can find the highest common divisor of 422, 645, 748, 680 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 422, 645, 748, 680 i.e 1.

3. How can I use the GCD of 422, 645, 748, 680Calculator?

Out the numbers 422, 645, 748, 680 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.