GCD of 101, 735, 79, 613 Calculator

Given Input numbers are 101, 735, 79, 613

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

Divisors of 101

List of positive integer divisors of 101 that divides 101 without a remainder.

1, 101

Divisors of 735

List of positive integer divisors of 735 that divides 735 without a remainder.

1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

Divisors of 79

List of positive integer divisors of 79 that divides 79 without a remainder.

1, 79

Divisors of 613

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

1, 613

Greatest Common Divisior

We found the divisors of 101, 735, 79, 613 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 101, 735, 79, 613 is 1.

Therefore, GCD of numbers 101, 735, 79, 613 is 1

Given Input Data is 101, 735, 79, 613

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

Prime Factorization of 101 is 101

Prime Factorization of 735 is 3 x 5 x 7 x 7

Prime Factorization of 79 is 79

Prime Factorization of 613 is 613

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(101, 735) = 74235

GCD(101, 735) = ( 101 x 735 ) / 74235

GCD(101, 735) = 74235 / 74235

GCD(101, 735) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 79

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

LCM(1, 79) = 79

GCD(1, 79) = ( 1 x 79 ) / 79

GCD(1, 79) = 79 / 79

GCD(1, 79) = 1

Step3:

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

GCD of 101, 735, 79, 613 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 391, 611, 90, 387
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• GCD of 157, 946, 60, 786
• GCD of 605, 404, 82, 775
• GCD of 116, 582, 68, 296

1. What is the GCD of 101, 735, 79, 613?

GCD of 101, 735, 79, 613 is 1

2. Where do I get the detailed procedure to find GCD of 101, 735, 79, 613?

You can find a detailed procedure to find GCD of 101, 735, 79, 613 on our page.

3. How to find GCD of 101, 735, 79, 613 on a calculator?

You can find the GCD of 101, 735, 79, 613 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.