GCD of 780, 740, 634, 553 Calculator

Given Input numbers are 780, 740, 634, 553

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

Divisors of 780

List of positive integer divisors of 780 that divides 780 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

Divisors of 740

List of positive integer divisors of 740 that divides 740 without a remainder.

1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740

Divisors of 634

List of positive integer divisors of 634 that divides 634 without a remainder.

1, 2, 317, 634

Divisors of 553

List of positive integer divisors of 553 that divides 553 without a remainder.

1, 7, 79, 553

Greatest Common Divisior

We found the divisors of 780, 740, 634, 553 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 780, 740, 634, 553 is 1.

Therefore, GCD of numbers 780, 740, 634, 553 is 1

Given Input Data is 780, 740, 634, 553

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

Prime Factorization of 780 is 2 x 2 x 3 x 5 x 13

Prime Factorization of 740 is 2 x 2 x 5 x 37

Prime Factorization of 634 is 2 x 317

Prime Factorization of 553 is 7 x 79

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(780, 740) = 28860

GCD(780, 740) = ( 780 x 740 ) / 28860

GCD(780, 740) = 577200 / 28860

GCD(780, 740) = 20

Step2:

Here we consider the GCD from the above i.e. 20 as first number and the next as 634

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

LCM(20, 634) = 6340

GCD(20, 634) = ( 20 x 634 ) / 6340

GCD(20, 634) = 12680 / 6340

GCD(20, 634) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 553

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

LCM(2, 553) = 1106

GCD(2, 553) = ( 2 x 553 ) / 1106

GCD(2, 553) = 1106 / 1106

GCD(2, 553) = 1

GCD of 780, 740, 634, 553 is 1

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1. What is the GCD of 780, 740, 634, 553?

GCD of 780, 740, 634, 553 is 1

2. Where do I get the detailed procedure to find GCD of 780, 740, 634, 553?

You can find a detailed procedure to find GCD of 780, 740, 634, 553 on our page.

3. How to find GCD of 780, 740, 634, 553 on a calculator?

You can find the GCD of 780, 740, 634, 553 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.