GCD of 954, 142, 984, 618 Calculator

Given Input numbers are 954, 142, 984, 618

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

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 142

List of positive integer divisors of 142 that divides 142 without a remainder.

1, 2, 71, 142

Divisors of 984

List of positive integer divisors of 984 that divides 984 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

Divisors of 618

List of positive integer divisors of 618 that divides 618 without a remainder.

1, 2, 3, 6, 103, 206, 309, 618

Greatest Common Divisior

We found the divisors of 954, 142, 984, 618 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 954, 142, 984, 618 is 2.

Therefore, GCD of numbers 954, 142, 984, 618 is 2

Given Input Data is 954, 142, 984, 618

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

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

Prime Factorization of 142 is 2 x 71

Prime Factorization of 984 is 2 x 2 x 2 x 3 x 41

Prime Factorization of 618 is 2 x 3 x 103

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(954, 142) = 67734

GCD(954, 142) = ( 954 x 142 ) / 67734

GCD(954, 142) = 135468 / 67734

GCD(954, 142) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 984

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

LCM(2, 984) = 984

GCD(2, 984) = ( 2 x 984 ) / 984

GCD(2, 984) = 1968 / 984

GCD(2, 984) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 618

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

LCM(2, 618) = 618

GCD(2, 618) = ( 2 x 618 ) / 618

GCD(2, 618) = 1236 / 618

GCD(2, 618) = 2

GCD of 954, 142, 984, 618 is 2

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1. What is the GCD of 954, 142, 984, 618?

GCD of 954, 142, 984, 618 is 2

2. Where do I get the detailed procedure to find GCD of 954, 142, 984, 618?

You can find a detailed procedure to find GCD of 954, 142, 984, 618 on our page.

3. How to find GCD of 954, 142, 984, 618 on a calculator?

You can find the GCD of 954, 142, 984, 618 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.