GCD of 680, 641, 458, 120 Calculator

Given Input numbers are 680, 641, 458, 120

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 641

List of positive integer divisors of 641 that divides 641 without a remainder.

1, 641

Divisors of 458

List of positive integer divisors of 458 that divides 458 without a remainder.

1, 2, 229, 458

Divisors of 120

List of positive integer divisors of 120 that divides 120 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

Greatest Common Divisior

We found the divisors of 680, 641, 458, 120 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 680, 641, 458, 120 is 1.

Therefore, GCD of numbers 680, 641, 458, 120 is 1

Given Input Data is 680, 641, 458, 120

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 641 is 641

Prime Factorization of 458 is 2 x 229

Prime Factorization of 120 is 2 x 2 x 2 x 3 x 5

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, 641) = 435880

GCD(680, 641) = ( 680 x 641 ) / 435880

GCD(680, 641) = 435880 / 435880

GCD(680, 641) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 458

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

LCM(1, 458) = 458

GCD(1, 458) = ( 1 x 458 ) / 458

GCD(1, 458) = 458 / 458

GCD(1, 458) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 120

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

LCM(1, 120) = 120

GCD(1, 120) = ( 1 x 120 ) / 120

GCD(1, 120) = 120 / 120

GCD(1, 120) = 1

GCD of 680, 641, 458, 120 is 1

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• GCD of 419, 939, 501, 311
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1. What is the GCD of 680, 641, 458, 120?

GCD of 680, 641, 458, 120 is 1

2. Where do I get the detailed procedure to find GCD of 680, 641, 458, 120?

You can find a detailed procedure to find GCD of 680, 641, 458, 120 on our page.

3. How to find GCD of 680, 641, 458, 120 on a calculator?

You can find the GCD of 680, 641, 458, 120 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.