GCD of 87, 356, 761, 313 Calculator

Given Input numbers are 87, 356, 761, 313

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 356

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

1, 2, 4, 89, 178, 356

Divisors of 761

List of positive integer divisors of 761 that divides 761 without a remainder.

1, 761

Divisors of 313

List of positive integer divisors of 313 that divides 313 without a remainder.

1, 313

Greatest Common Divisior

We found the divisors of 87, 356, 761, 313 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 87, 356, 761, 313 is 1.

Therefore, GCD of numbers 87, 356, 761, 313 is 1

Given Input Data is 87, 356, 761, 313

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

Prime Factorization of 87 is 3 x 29

Prime Factorization of 356 is 2 x 2 x 89

Prime Factorization of 761 is 761

Prime Factorization of 313 is 313

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, 356) = 30972

GCD(87, 356) = ( 87 x 356 ) / 30972

GCD(87, 356) = 30972 / 30972

GCD(87, 356) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 761

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

LCM(1, 761) = 761

GCD(1, 761) = ( 1 x 761 ) / 761

GCD(1, 761) = 761 / 761

GCD(1, 761) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 313

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

LCM(1, 313) = 313

GCD(1, 313) = ( 1 x 313 ) / 313

GCD(1, 313) = 313 / 313

GCD(1, 313) = 1

GCD of 87, 356, 761, 313 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 17, 185, 606, 944
• GCD of 64, 919, 435, 788
• GCD of 50, 952, 550, 381
• GCD of 87, 145, 573, 380
• GCD of 30, 700, 185, 684

1. What is the GCD of 87, 356, 761, 313?

GCD of 87, 356, 761, 313 is 1

2. Where do I get the detailed procedure to find GCD of 87, 356, 761, 313?

You can find a detailed procedure to find GCD of 87, 356, 761, 313 on our page.

3. How to find GCD of 87, 356, 761, 313 on a calculator?

You can find the GCD of 87, 356, 761, 313 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.