GCD of 724, 280, 83, 661 Calculator

Given Input numbers are 724, 280, 83, 661

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

Divisors of 724

List of positive integer divisors of 724 that divides 724 without a remainder.

1, 2, 4, 181, 362, 724

Divisors of 280

List of positive integer divisors of 280 that divides 280 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280

Divisors of 83

List of positive integer divisors of 83 that divides 83 without a remainder.

1, 83

Divisors of 661

List of positive integer divisors of 661 that divides 661 without a remainder.

1, 661

Greatest Common Divisior

We found the divisors of 724, 280, 83, 661 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 724, 280, 83, 661 is 1.

Therefore, GCD of numbers 724, 280, 83, 661 is 1

Given Input Data is 724, 280, 83, 661

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

Prime Factorization of 724 is 2 x 2 x 181

Prime Factorization of 280 is 2 x 2 x 2 x 5 x 7

Prime Factorization of 83 is 83

Prime Factorization of 661 is 661

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(724, 280) = 50680

GCD(724, 280) = ( 724 x 280 ) / 50680

GCD(724, 280) = 202720 / 50680

GCD(724, 280) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 83

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

LCM(4, 83) = 332

GCD(4, 83) = ( 4 x 83 ) / 332

GCD(4, 83) = 332 / 332

GCD(4, 83) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 661

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

LCM(1, 661) = 661

GCD(1, 661) = ( 1 x 661 ) / 661

GCD(1, 661) = 661 / 661

GCD(1, 661) = 1

GCD of 724, 280, 83, 661 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 543, 591, 83, 238
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• GCD of 812, 325, 51, 151
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• GCD of 802, 706, 21, 515

1. What is the GCD of 724, 280, 83, 661?

GCD of 724, 280, 83, 661 is 1

2. Where do I get the detailed procedure to find GCD of 724, 280, 83, 661?

You can find a detailed procedure to find GCD of 724, 280, 83, 661 on our page.

3. How to find GCD of 724, 280, 83, 661 on a calculator?

You can find the GCD of 724, 280, 83, 661 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.