GCD of 707, 976, 35, 130 Calculator

Given Input numbers are 707, 976, 35, 130

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

Divisors of 707

List of positive integer divisors of 707 that divides 707 without a remainder.

1, 7, 101, 707

Divisors of 976

List of positive integer divisors of 976 that divides 976 without a remainder.

1, 2, 4, 8, 16, 61, 122, 244, 488, 976

Divisors of 35

List of positive integer divisors of 35 that divides 35 without a remainder.

1, 5, 7, 35

Divisors of 130

List of positive integer divisors of 130 that divides 130 without a remainder.

1, 2, 5, 10, 13, 26, 65, 130

Greatest Common Divisior

We found the divisors of 707, 976, 35, 130 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 707, 976, 35, 130 is 1.

Therefore, GCD of numbers 707, 976, 35, 130 is 1

Given Input Data is 707, 976, 35, 130

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

Prime Factorization of 707 is 7 x 101

Prime Factorization of 976 is 2 x 2 x 2 x 2 x 61

Prime Factorization of 35 is 5 x 7

Prime Factorization of 130 is 2 x 5 x 13

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(707, 976) = 690032

GCD(707, 976) = ( 707 x 976 ) / 690032

GCD(707, 976) = 690032 / 690032

GCD(707, 976) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 35

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

LCM(1, 35) = 35

GCD(1, 35) = ( 1 x 35 ) / 35

GCD(1, 35) = 35 / 35

GCD(1, 35) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 130

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

LCM(1, 130) = 130

GCD(1, 130) = ( 1 x 130 ) / 130

GCD(1, 130) = 130 / 130

GCD(1, 130) = 1

GCD of 707, 976, 35, 130 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 451, 938, 45, 771
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• GCD of 159, 962, 95, 733
• GCD of 816, 930, 29, 817
• GCD of 402, 972, 54, 946

1. What is the GCD of 707, 976, 35, 130?

GCD of 707, 976, 35, 130 is 1

2. Where do I get the detailed procedure to find GCD of 707, 976, 35, 130?

You can find a detailed procedure to find GCD of 707, 976, 35, 130 on our page.

3. How to find GCD of 707, 976, 35, 130 on a calculator?

You can find the GCD of 707, 976, 35, 130 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.