GCD of 342, 840, 480, 957 Calculator

Given Input numbers are 342, 840, 480, 957

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

Divisors of 342

List of positive integer divisors of 342 that divides 342 without a remainder.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

Divisors of 840

List of positive integer divisors of 840 that divides 840 without a remainder.

1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

Divisors of 480

List of positive integer divisors of 480 that divides 480 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

Divisors of 957

List of positive integer divisors of 957 that divides 957 without a remainder.

1, 3, 11, 29, 33, 87, 319, 957

Greatest Common Divisior

We found the divisors of 342, 840, 480, 957 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 342, 840, 480, 957 is 3.

Therefore, GCD of numbers 342, 840, 480, 957 is 3

Given Input Data is 342, 840, 480, 957

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

Prime Factorization of 342 is 2 x 3 x 3 x 19

Prime Factorization of 840 is 2 x 2 x 2 x 3 x 5 x 7

Prime Factorization of 480 is 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime Factorization of 957 is 3 x 11 x 29

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(342, 840) = 47880

GCD(342, 840) = ( 342 x 840 ) / 47880

GCD(342, 840) = 287280 / 47880

GCD(342, 840) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 480

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

LCM(6, 480) = 480

GCD(6, 480) = ( 6 x 480 ) / 480

GCD(6, 480) = 2880 / 480

GCD(6, 480) = 6

Step3:

Here we consider the GCD from the above i.e. 6 as first number and the next as 957

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

LCM(6, 957) = 1914

GCD(6, 957) = ( 6 x 957 ) / 1914

GCD(6, 957) = 5742 / 1914

GCD(6, 957) = 3

GCD of 342, 840, 480, 957 is 3

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1. What is the GCD of 342, 840, 480, 957?

GCD of 342, 840, 480, 957 is 3

2. Where do I get the detailed procedure to find GCD of 342, 840, 480, 957?

You can find a detailed procedure to find GCD of 342, 840, 480, 957 on our page.

3. How to find GCD of 342, 840, 480, 957 on a calculator?

You can find the GCD of 342, 840, 480, 957 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.