GCD of 87, 965, 116, 948 Calculator

Given Input numbers are 87, 965, 116, 948

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 965

List of positive integer divisors of 965 that divides 965 without a remainder.

1, 5, 193, 965

Divisors of 116

List of positive integer divisors of 116 that divides 116 without a remainder.

1, 2, 4, 29, 58, 116

Divisors of 948

List of positive integer divisors of 948 that divides 948 without a remainder.

1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948

Greatest Common Divisior

We found the divisors of 87, 965, 116, 948 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 87, 965, 116, 948 is 1.

Therefore, GCD of numbers 87, 965, 116, 948 is 1

Given Input Data is 87, 965, 116, 948

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

Prime Factorization of 87 is 3 x 29

Prime Factorization of 965 is 5 x 193

Prime Factorization of 116 is 2 x 2 x 29

Prime Factorization of 948 is 2 x 2 x 3 x 79

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, 965) = 83955

GCD(87, 965) = ( 87 x 965 ) / 83955

GCD(87, 965) = 83955 / 83955

GCD(87, 965) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 116

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

LCM(1, 116) = 116

GCD(1, 116) = ( 1 x 116 ) / 116

GCD(1, 116) = 116 / 116

GCD(1, 116) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 948

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

LCM(1, 948) = 948

GCD(1, 948) = ( 1 x 948 ) / 948

GCD(1, 948) = 948 / 948

GCD(1, 948) = 1

GCD of 87, 965, 116, 948 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 91, 891, 297, 390
• GCD of 47, 567, 656, 112
• GCD of 30, 964, 809, 215
• GCD of 31, 645, 349, 197
• GCD of 55, 230, 243, 190

1. What is the GCD of 87, 965, 116, 948?

GCD of 87, 965, 116, 948 is 1

2. Where do I get the detailed procedure to find GCD of 87, 965, 116, 948?

You can find a detailed procedure to find GCD of 87, 965, 116, 948 on our page.

3. How to find GCD of 87, 965, 116, 948 on a calculator?

You can find the GCD of 87, 965, 116, 948 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.