GCD of 710, 959, 229, 649 Calculator

Given Input numbers are 710, 959, 229, 649

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

Divisors of 710

List of positive integer divisors of 710 that divides 710 without a remainder.

1, 2, 5, 10, 71, 142, 355, 710

Divisors of 959

List of positive integer divisors of 959 that divides 959 without a remainder.

1, 7, 137, 959

Divisors of 229

List of positive integer divisors of 229 that divides 229 without a remainder.

1, 229

Divisors of 649

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

1, 11, 59, 649

Greatest Common Divisior

We found the divisors of 710, 959, 229, 649 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 710, 959, 229, 649 is 1.

Therefore, GCD of numbers 710, 959, 229, 649 is 1

Given Input Data is 710, 959, 229, 649

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

Prime Factorization of 710 is 2 x 5 x 71

Prime Factorization of 959 is 7 x 137

Prime Factorization of 229 is 229

Prime Factorization of 649 is 11 x 59

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(710, 959) = 680890

GCD(710, 959) = ( 710 x 959 ) / 680890

GCD(710, 959) = 680890 / 680890

GCD(710, 959) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 229

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

LCM(1, 229) = 229

GCD(1, 229) = ( 1 x 229 ) / 229

GCD(1, 229) = 229 / 229

GCD(1, 229) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 649

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

LCM(1, 649) = 649

GCD(1, 649) = ( 1 x 649 ) / 649

GCD(1, 649) = 649 / 649

GCD(1, 649) = 1

GCD of 710, 959, 229, 649 is 1

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1. What is the GCD of 710, 959, 229, 649?

GCD of 710, 959, 229, 649 is 1

2. Where do I get the detailed procedure to find GCD of 710, 959, 229, 649?

You can find a detailed procedure to find GCD of 710, 959, 229, 649 on our page.

3. How to find GCD of 710, 959, 229, 649 on a calculator?

You can find the GCD of 710, 959, 229, 649 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.