GCD of 749, 465, 613, 121 Calculator

Given Input numbers are 749, 465, 613, 121

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

Divisors of 749

List of positive integer divisors of 749 that divides 749 without a remainder.

1, 7, 107, 749

Divisors of 465

List of positive integer divisors of 465 that divides 465 without a remainder.

1, 3, 5, 15, 31, 93, 155, 465

Divisors of 613

List of positive integer divisors of 613 that divides 613 without a remainder.

1, 613

Divisors of 121

List of positive integer divisors of 121 that divides 121 without a remainder.

1, 11, 121

Greatest Common Divisior

We found the divisors of 749, 465, 613, 121 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 749, 465, 613, 121 is 1.

Therefore, GCD of numbers 749, 465, 613, 121 is 1

Given Input Data is 749, 465, 613, 121

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

Prime Factorization of 749 is 7 x 107

Prime Factorization of 465 is 3 x 5 x 31

Prime Factorization of 613 is 613

Prime Factorization of 121 is 11 x 11

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(749, 465) = 348285

GCD(749, 465) = ( 749 x 465 ) / 348285

GCD(749, 465) = 348285 / 348285

GCD(749, 465) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 613

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

LCM(1, 613) = 613

GCD(1, 613) = ( 1 x 613 ) / 613

GCD(1, 613) = 613 / 613

GCD(1, 613) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 121

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

LCM(1, 121) = 121

GCD(1, 121) = ( 1 x 121 ) / 121

GCD(1, 121) = 121 / 121

GCD(1, 121) = 1

GCD of 749, 465, 613, 121 is 1

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1. What is the GCD of 749, 465, 613, 121?

GCD of 749, 465, 613, 121 is 1

2. Where do I get the detailed procedure to find GCD of 749, 465, 613, 121?

You can find a detailed procedure to find GCD of 749, 465, 613, 121 on our page.

3. How to find GCD of 749, 465, 613, 121 on a calculator?

You can find the GCD of 749, 465, 613, 121 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.