GCD of 753, 645, 108, 680 Calculator

Given Input numbers are 753, 645, 108, 680

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

Divisors of 753 :

The positive integer divisors of 753 that completely divides 753 are.

1, 3, 251, 753

Divisors of 645 :

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

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

Divisors of 108 :

The positive integer divisors of 108 that completely divides 108 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

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 (753, 645, 108, 680) = 1.

Given numbers are 753, 645, 108, 680

The list of prime factors of all numbers are

Prime factors of 753 are 3 x 251

Prime factors of 645 are 3 x 5 x 43

Prime factors of 108 are 2 x 2 x 3 x 3 x 3

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 753, 645, 108, 680

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

Apply this formula for all numbers.

Step1:

LCM(753, 645) = 161895

GCD(753, 645) = ( 753 x 645 ) / 161895

= 753 / 645

= 753

Step2:

LCM(3, 108) = 108

GCD(3, 108) = ( 3 x 108 ) / 108

= 3 / 108

= 3

Step3:

LCM(3, 680) = 2040

GCD(3, 680) = ( 3 x 680 ) / 2040

= 3 / 680

= 3

So, Greatest Common Divisor of 753, 645, 108, 680 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 919, 952, 868, 831
• GCD of 990, 131, 207, 779
• GCD of 254, 229, 768, 858
• GCD of 604, 201, 138, 509
• GCD of 319, 973, 795, 814

Given numbers are 753, 645, 108, 680
The greatest common divisor of numbers 753, 645, 108, 680 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 753, 645, 108, 680 is 1.

1. What is the GCD of 753, 645, 108, 680?

GCD of given numbers 753, 645, 108, 680 is 1

2. How to calculate the greatest common divisor of 753, 645, 108, 680?

We can find the highest common divisor of 753, 645, 108, 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 753, 645, 108, 680 i.e 1.

3. How can I use the GCD of 753, 645, 108, 680Calculator?

Out the numbers 753, 645, 108, 680 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.