GCD of 87, 185, 760, 577 Calculator

Given Input numbers are 87, 185, 760, 577

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

Divisors of 87

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

1, 3, 29, 87

Divisors of 185

List of positive integer divisors of 185 that divides 185 without a remainder.

1, 5, 37, 185

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 577

List of positive integer divisors of 577 that divides 577 without a remainder.

1, 577

Greatest Common Divisior

We found the divisors of 87, 185, 760, 577 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 87, 185, 760, 577 is 1.

Therefore, GCD of numbers 87, 185, 760, 577 is 1

Given Input Data is 87, 185, 760, 577

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

Prime Factorization of 87 is 3 x 29

Prime Factorization of 185 is 5 x 37

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

Prime Factorization of 577 is 577

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(87, 185) = 16095

GCD(87, 185) = ( 87 x 185 ) / 16095

GCD(87, 185) = 16095 / 16095

GCD(87, 185) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 760

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

LCM(1, 760) = 760

GCD(1, 760) = ( 1 x 760 ) / 760

GCD(1, 760) = 760 / 760

GCD(1, 760) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 577

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

LCM(1, 577) = 577

GCD(1, 577) = ( 1 x 577 ) / 577

GCD(1, 577) = 577 / 577

GCD(1, 577) = 1

GCD of 87, 185, 760, 577 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 70, 686, 900, 440
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• GCD of 64, 636, 907, 535
• GCD of 87, 393, 732, 269
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1. What is the GCD of 87, 185, 760, 577?

GCD of 87, 185, 760, 577 is 1

2. Where do I get the detailed procedure to find GCD of 87, 185, 760, 577?

You can find a detailed procedure to find GCD of 87, 185, 760, 577 on our page.

3. How to find GCD of 87, 185, 760, 577 on a calculator?

You can find the GCD of 87, 185, 760, 577 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.