GCD of 918, 954, 60, 975 Calculator

Given Input numbers are 918, 954, 60, 975

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

Divisors of 918

List of positive integer divisors of 918 that divides 918 without a remainder.

1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918

Divisors of 954

List of positive integer divisors of 954 that divides 954 without a remainder.

1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954

Divisors of 60

List of positive integer divisors of 60 that divides 60 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60

Divisors of 975

List of positive integer divisors of 975 that divides 975 without a remainder.

1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975

Greatest Common Divisior

We found the divisors of 918, 954, 60, 975 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 918, 954, 60, 975 is 3.

Therefore, GCD of numbers 918, 954, 60, 975 is 3

Given Input Data is 918, 954, 60, 975

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

Prime Factorization of 918 is 2 x 3 x 3 x 3 x 17

Prime Factorization of 954 is 2 x 3 x 3 x 53

Prime Factorization of 60 is 2 x 2 x 3 x 5

Prime Factorization of 975 is 3 x 5 x 5 x 13

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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(918, 954) = 48654

GCD(918, 954) = ( 918 x 954 ) / 48654

GCD(918, 954) = 875772 / 48654

GCD(918, 954) = 18

Step2:

Here we consider the GCD from the above i.e. 18 as first number and the next as 60

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

LCM(18, 60) = 180

GCD(18, 60) = ( 18 x 60 ) / 180

GCD(18, 60) = 1080 / 180

GCD(18, 60) = 6

Step3:

Here we consider the GCD from the above i.e. 6 as first number and the next as 975

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

LCM(6, 975) = 1950

GCD(6, 975) = ( 6 x 975 ) / 1950

GCD(6, 975) = 5850 / 1950

GCD(6, 975) = 3

GCD of 918, 954, 60, 975 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 396, 698, 36, 474
• GCD of 476, 375, 67, 667
• GCD of 719, 362, 75, 668
• GCD of 220, 925, 84, 796
• GCD of 588, 433, 69, 227

1. What is the GCD of 918, 954, 60, 975?

GCD of 918, 954, 60, 975 is 3

2. Where do I get the detailed procedure to find GCD of 918, 954, 60, 975?

You can find a detailed procedure to find GCD of 918, 954, 60, 975 on our page.

3. How to find GCD of 918, 954, 60, 975 on a calculator?

You can find the GCD of 918, 954, 60, 975 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.