GCD of 78, 686, 640, 753 Calculator

Given Input numbers are 78, 686, 640, 753

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 78

List of positive integer divisors of 78 that divides 78 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78

Divisors of 686

List of positive integer divisors of 686 that divides 686 without a remainder.

1, 2, 7, 14, 49, 98, 343, 686

Divisors of 640

List of positive integer divisors of 640 that divides 640 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 320, 640

Divisors of 753

List of positive integer divisors of 753 that divides 753 without a remainder.

1, 3, 251, 753

Greatest Common Divisior

We found the divisors of 78, 686, 640, 753 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 78, 686, 640, 753 is 1.

Therefore, GCD of numbers 78, 686, 640, 753 is 1

Given Input Data is 78, 686, 640, 753

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 78 is 2 x 3 x 13

Prime Factorization of 686 is 2 x 7 x 7 x 7

Prime Factorization of 640 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 5

Prime Factorization of 753 is 3 x 251

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

Step1:

Let's calculate the GCD of first two numbers

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

LCM(78, 686) = 26754

GCD(78, 686) = ( 78 x 686 ) / 26754

GCD(78, 686) = 53508 / 26754

GCD(78, 686) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 640

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

LCM(2, 640) = 640

GCD(2, 640) = ( 2 x 640 ) / 640

GCD(2, 640) = 1280 / 640

GCD(2, 640) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 753

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

LCM(2, 753) = 1506

GCD(2, 753) = ( 2 x 753 ) / 1506

GCD(2, 753) = 1506 / 1506

GCD(2, 753) = 1

GCD of 78, 686, 640, 753 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 13, 963, 206, 774
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• GCD of 10, 656, 500, 955
• GCD of 72, 172, 530, 841

1. What is the GCD of 78, 686, 640, 753?

GCD of 78, 686, 640, 753 is 1

2. Where do I get the detailed procedure to find GCD of 78, 686, 640, 753?

You can find a detailed procedure to find GCD of 78, 686, 640, 753 on our page.

3. How to find GCD of 78, 686, 640, 753 on a calculator?

You can find the GCD of 78, 686, 640, 753 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.