GCD of 680, 456, 743, 665 Calculator

Given Input numbers are 680, 456, 743, 665

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

Divisors of 680

List of positive integer divisors of 680 that divides 680 without a remainder.

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

Divisors of 456

List of positive integer divisors of 456 that divides 456 without a remainder.

1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

Divisors of 743

List of positive integer divisors of 743 that divides 743 without a remainder.

1, 743

Divisors of 665

List of positive integer divisors of 665 that divides 665 without a remainder.

1, 5, 7, 19, 35, 95, 133, 665

Greatest Common Divisior

We found the divisors of 680, 456, 743, 665 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 680, 456, 743, 665 is 1.

Therefore, GCD of numbers 680, 456, 743, 665 is 1

Given Input Data is 680, 456, 743, 665

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

Prime Factorization of 680 is 2 x 2 x 2 x 5 x 17

Prime Factorization of 456 is 2 x 2 x 2 x 3 x 19

Prime Factorization of 743 is 743

Prime Factorization of 665 is 5 x 7 x 19

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(680, 456) = 38760

GCD(680, 456) = ( 680 x 456 ) / 38760

GCD(680, 456) = 310080 / 38760

GCD(680, 456) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 743

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

LCM(8, 743) = 5944

GCD(8, 743) = ( 8 x 743 ) / 5944

GCD(8, 743) = 5944 / 5944

GCD(8, 743) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 665

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

LCM(1, 665) = 665

GCD(1, 665) = ( 1 x 665 ) / 665

GCD(1, 665) = 665 / 665

GCD(1, 665) = 1

GCD of 680, 456, 743, 665 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 372, 344, 512, 787
• GCD of 745, 582, 138, 668
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• GCD of 105, 682, 743, 825
• GCD of 284, 181, 318, 791

1. What is the GCD of 680, 456, 743, 665?

GCD of 680, 456, 743, 665 is 1

2. Where do I get the detailed procedure to find GCD of 680, 456, 743, 665?

You can find a detailed procedure to find GCD of 680, 456, 743, 665 on our page.

3. How to find GCD of 680, 456, 743, 665 on a calculator?

You can find the GCD of 680, 456, 743, 665 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.