GCD of 87, 127, 121, 345 Calculator

Given Input numbers are 87, 127, 121, 345

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 127

List of positive integer divisors of 127 that divides 127 without a remainder.

1, 127

Divisors of 121

List of positive integer divisors of 121 that divides 121 without a remainder.

1, 11, 121

Divisors of 345

List of positive integer divisors of 345 that divides 345 without a remainder.

1, 3, 5, 15, 23, 69, 115, 345

Greatest Common Divisior

We found the divisors of 87, 127, 121, 345 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 87, 127, 121, 345 is 1.

Therefore, GCD of numbers 87, 127, 121, 345 is 1

Given Input Data is 87, 127, 121, 345

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

Prime Factorization of 87 is 3 x 29

Prime Factorization of 127 is 127

Prime Factorization of 121 is 11 x 11

Prime Factorization of 345 is 3 x 5 x 23

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, 127) = 11049

GCD(87, 127) = ( 87 x 127 ) / 11049

GCD(87, 127) = 11049 / 11049

GCD(87, 127) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 121

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

LCM(1, 121) = 121

GCD(1, 121) = ( 1 x 121 ) / 121

GCD(1, 121) = 121 / 121

GCD(1, 121) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 345

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

LCM(1, 345) = 345

GCD(1, 345) = ( 1 x 345 ) / 345

GCD(1, 345) = 345 / 345

GCD(1, 345) = 1

GCD of 87, 127, 121, 345 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 24, 405, 518, 987
• GCD of 11, 366, 338, 859
• GCD of 51, 380, 897, 121
• GCD of 28, 940, 380, 313
• GCD of 89, 770, 358, 850

1. What is the GCD of 87, 127, 121, 345?

GCD of 87, 127, 121, 345 is 1

2. Where do I get the detailed procedure to find GCD of 87, 127, 121, 345?

You can find a detailed procedure to find GCD of 87, 127, 121, 345 on our page.

3. How to find GCD of 87, 127, 121, 345 on a calculator?

You can find the GCD of 87, 127, 121, 345 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.