GCD of 760, 625, 55, 719 Calculator

Given Input numbers are 760, 625, 55, 719

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

Divisors of 760

List of positive integer divisors of 760 that divides 760 without a remainder.

1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760

Divisors of 625

List of positive integer divisors of 625 that divides 625 without a remainder.

1, 5, 25, 125, 625

Divisors of 55

List of positive integer divisors of 55 that divides 55 without a remainder.

1, 5, 11, 55

Divisors of 719

List of positive integer divisors of 719 that divides 719 without a remainder.

1, 719

Greatest Common Divisior

We found the divisors of 760, 625, 55, 719 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 760, 625, 55, 719 is 1.

Therefore, GCD of numbers 760, 625, 55, 719 is 1

Given Input Data is 760, 625, 55, 719

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

Prime Factorization of 760 is 2 x 2 x 2 x 5 x 19

Prime Factorization of 625 is 5 x 5 x 5 x 5

Prime Factorization of 55 is 5 x 11

Prime Factorization of 719 is 719

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(760, 625) = 95000

GCD(760, 625) = ( 760 x 625 ) / 95000

GCD(760, 625) = 475000 / 95000

GCD(760, 625) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 55

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

LCM(5, 55) = 55

GCD(5, 55) = ( 5 x 55 ) / 55

GCD(5, 55) = 275 / 55

GCD(5, 55) = 5

Step3:

Here we consider the GCD from the above i.e. 5 as first number and the next as 719

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

LCM(5, 719) = 3595

GCD(5, 719) = ( 5 x 719 ) / 3595

GCD(5, 719) = 3595 / 3595

GCD(5, 719) = 1

GCD of 760, 625, 55, 719 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 632, 704, 91, 698
• GCD of 907, 124, 55, 701
• GCD of 657, 953, 71, 547
• GCD of 124, 807, 78, 798
• GCD of 820, 585, 88, 568

1. What is the GCD of 760, 625, 55, 719?

GCD of 760, 625, 55, 719 is 1

2. Where do I get the detailed procedure to find GCD of 760, 625, 55, 719?

You can find a detailed procedure to find GCD of 760, 625, 55, 719 on our page.

3. How to find GCD of 760, 625, 55, 719 on a calculator?

You can find the GCD of 760, 625, 55, 719 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.