GCD of 840, 356, 940 Calculator

Given Input numbers are 840, 356, 940

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

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 356

List of positive integer divisors of 356 that divides 356 without a remainder.

1, 2, 4, 89, 178, 356

Divisors of 940

List of positive integer divisors of 940 that divides 940 without a remainder.

1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940

Greatest Common Divisior

We found the divisors of 840, 356, 940 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 840, 356, 940 is 4.

Therefore, GCD of numbers 840, 356, 940 is 4

Given Input Data is 840, 356, 940

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

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

Prime Factorization of 356 is 2 x 2 x 89

Prime Factorization of 940 is 2 x 2 x 5 x 47

Highest common occurrences in the given inputs are 2²

Multiplying them we get the GCD as 4

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(840, 356) = 74760

GCD(840, 356) = ( 840 x 356 ) / 74760

GCD(840, 356) = 299040 / 74760

GCD(840, 356) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 940

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

LCM(4, 940) = 940

GCD(4, 940) = ( 4 x 940 ) / 940

GCD(4, 940) = 3760 / 940

GCD(4, 940) = 4

GCD of 840, 356, 940 is 4

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• GCD of 437, 344, 302
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1. What is the GCD of 840, 356, 940?

GCD of 840, 356, 940 is 4

2. Where do I get the detailed procedure to find GCD of 840, 356, 940?

You can find a detailed procedure to find GCD of 840, 356, 940 on our page.

3. How to find GCD of 840, 356, 940 on a calculator?

You can find the GCD of 840, 356, 940 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.