GCD of 940, 742, 870, 840 Calculator

Given Input numbers are 940, 742, 870, 840

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

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

Divisors of 742

List of positive integer divisors of 742 that divides 742 without a remainder.

1, 2, 7, 14, 53, 106, 371, 742

Divisors of 870

List of positive integer divisors of 870 that divides 870 without a remainder.

1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870

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

Greatest Common Divisior

We found the divisors of 940, 742, 870, 840 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 940, 742, 870, 840 is 2.

Therefore, GCD of numbers 940, 742, 870, 840 is 2

Given Input Data is 940, 742, 870, 840

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

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

Prime Factorization of 742 is 2 x 7 x 53

Prime Factorization of 870 is 2 x 3 x 5 x 29

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

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(940, 742) = 348740

GCD(940, 742) = ( 940 x 742 ) / 348740

GCD(940, 742) = 697480 / 348740

GCD(940, 742) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 870

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

LCM(2, 870) = 870

GCD(2, 870) = ( 2 x 870 ) / 870

GCD(2, 870) = 1740 / 870

GCD(2, 870) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 840

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

LCM(2, 840) = 840

GCD(2, 840) = ( 2 x 840 ) / 840

GCD(2, 840) = 1680 / 840

GCD(2, 840) = 2

GCD of 940, 742, 870, 840 is 2

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• GCD of 662, 481, 182, 223
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1. What is the GCD of 940, 742, 870, 840?

GCD of 940, 742, 870, 840 is 2

2. Where do I get the detailed procedure to find GCD of 940, 742, 870, 840?

You can find a detailed procedure to find GCD of 940, 742, 870, 840 on our page.

3. How to find GCD of 940, 742, 870, 840 on a calculator?

You can find the GCD of 940, 742, 870, 840 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.