GCD of 716, 649, 985, 269 Calculator

Given Input numbers are 716, 649, 985, 269

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

Divisors of 716

List of positive integer divisors of 716 that divides 716 without a remainder.

1, 2, 4, 179, 358, 716

Divisors of 649

List of positive integer divisors of 649 that divides 649 without a remainder.

1, 11, 59, 649

Divisors of 985

List of positive integer divisors of 985 that divides 985 without a remainder.

1, 5, 197, 985

Divisors of 269

List of positive integer divisors of 269 that divides 269 without a remainder.

1, 269

Greatest Common Divisior

We found the divisors of 716, 649, 985, 269 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 716, 649, 985, 269 is 1.

Therefore, GCD of numbers 716, 649, 985, 269 is 1

Given Input Data is 716, 649, 985, 269

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

Prime Factorization of 716 is 2 x 2 x 179

Prime Factorization of 649 is 11 x 59

Prime Factorization of 985 is 5 x 197

Prime Factorization of 269 is 269

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(716, 649) = 464684

GCD(716, 649) = ( 716 x 649 ) / 464684

GCD(716, 649) = 464684 / 464684

GCD(716, 649) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 985

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

LCM(1, 985) = 985

GCD(1, 985) = ( 1 x 985 ) / 985

GCD(1, 985) = 985 / 985

GCD(1, 985) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 269

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

LCM(1, 269) = 269

GCD(1, 269) = ( 1 x 269 ) / 269

GCD(1, 269) = 269 / 269

GCD(1, 269) = 1

GCD of 716, 649, 985, 269 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 633, 759, 465, 680
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• GCD of 588, 532, 594, 111

1. What is the GCD of 716, 649, 985, 269?

GCD of 716, 649, 985, 269 is 1

2. Where do I get the detailed procedure to find GCD of 716, 649, 985, 269?

You can find a detailed procedure to find GCD of 716, 649, 985, 269 on our page.

3. How to find GCD of 716, 649, 985, 269 on a calculator?

You can find the GCD of 716, 649, 985, 269 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.