GCD of 770, 260, 87, 109 Calculator

Given Input numbers are 770, 260, 87, 109

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

Divisors of 770

List of positive integer divisors of 770 that divides 770 without a remainder.

1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770

Divisors of 260

List of positive integer divisors of 260 that divides 260 without a remainder.

1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260

Divisors of 87

List of positive integer divisors of 87 that divides 87 without a remainder.

1, 3, 29, 87

Divisors of 109

List of positive integer divisors of 109 that divides 109 without a remainder.

1, 109

Greatest Common Divisior

We found the divisors of 770, 260, 87, 109 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 770, 260, 87, 109 is 1.

Therefore, GCD of numbers 770, 260, 87, 109 is 1

Given Input Data is 770, 260, 87, 109

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

Prime Factorization of 770 is 2 x 5 x 7 x 11

Prime Factorization of 260 is 2 x 2 x 5 x 13

Prime Factorization of 87 is 3 x 29

Prime Factorization of 109 is 109

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(770, 260) = 20020

GCD(770, 260) = ( 770 x 260 ) / 20020

GCD(770, 260) = 200200 / 20020

GCD(770, 260) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 87

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

LCM(10, 87) = 870

GCD(10, 87) = ( 10 x 87 ) / 870

GCD(10, 87) = 870 / 870

GCD(10, 87) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 109

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

LCM(1, 109) = 109

GCD(1, 109) = ( 1 x 109 ) / 109

GCD(1, 109) = 109 / 109

GCD(1, 109) = 1

GCD of 770, 260, 87, 109 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 346, 555, 51, 590
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• GCD of 298, 750, 16, 366
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1. What is the GCD of 770, 260, 87, 109?

GCD of 770, 260, 87, 109 is 1

2. Where do I get the detailed procedure to find GCD of 770, 260, 87, 109?

You can find a detailed procedure to find GCD of 770, 260, 87, 109 on our page.

3. How to find GCD of 770, 260, 87, 109 on a calculator?

You can find the GCD of 770, 260, 87, 109 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.