GCD of 130, 356, 546, 765 Calculator

Given Input numbers are 130, 356, 546, 765

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

Divisors of 130

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

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

Divisors of 356

List of positive integer divisors of 356 that divides 356 without a remainder.

1, 2, 4, 89, 178, 356

Divisors of 546

List of positive integer divisors of 546 that divides 546 without a remainder.

1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546

Divisors of 765

List of positive integer divisors of 765 that divides 765 without a remainder.

1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765

Greatest Common Divisior

We found the divisors of 130, 356, 546, 765 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 130, 356, 546, 765 is 1.

Therefore, GCD of numbers 130, 356, 546, 765 is 1

Given Input Data is 130, 356, 546, 765

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

Prime Factorization of 130 is 2 x 5 x 13

Prime Factorization of 356 is 2 x 2 x 89

Prime Factorization of 546 is 2 x 3 x 7 x 13

Prime Factorization of 765 is 3 x 3 x 5 x 17

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(130, 356) = 23140

GCD(130, 356) = ( 130 x 356 ) / 23140

GCD(130, 356) = 46280 / 23140

GCD(130, 356) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 546

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

LCM(2, 546) = 546

GCD(2, 546) = ( 2 x 546 ) / 546

GCD(2, 546) = 1092 / 546

GCD(2, 546) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 765

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

LCM(2, 765) = 1530

GCD(2, 765) = ( 2 x 765 ) / 1530

GCD(2, 765) = 1530 / 1530

GCD(2, 765) = 1

GCD of 130, 356, 546, 765 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 759, 235, 191, 377
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• GCD of 910, 430, 898, 998

1. What is the GCD of 130, 356, 546, 765?

GCD of 130, 356, 546, 765 is 1

2. Where do I get the detailed procedure to find GCD of 130, 356, 546, 765?

You can find a detailed procedure to find GCD of 130, 356, 546, 765 on our page.

3. How to find GCD of 130, 356, 546, 765 on a calculator?

You can find the GCD of 130, 356, 546, 765 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.