GCD of 69, 840, 903, 942 Calculator

Given Input numbers are 69, 840, 903, 942

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

Divisors of 69

List of positive integer divisors of 69 that divides 69 without a remainder.

1, 3, 23, 69

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 903

List of positive integer divisors of 903 that divides 903 without a remainder.

1, 3, 7, 21, 43, 129, 301, 903

Divisors of 942

List of positive integer divisors of 942 that divides 942 without a remainder.

1, 2, 3, 6, 157, 314, 471, 942

Greatest Common Divisior

We found the divisors of 69, 840, 903, 942 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 69, 840, 903, 942 is 3.

Therefore, GCD of numbers 69, 840, 903, 942 is 3

Given Input Data is 69, 840, 903, 942

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

Prime Factorization of 69 is 3 x 23

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

Prime Factorization of 903 is 3 x 7 x 43

Prime Factorization of 942 is 2 x 3 x 157

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(69, 840) = 19320

GCD(69, 840) = ( 69 x 840 ) / 19320

GCD(69, 840) = 57960 / 19320

GCD(69, 840) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 903

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

LCM(3, 903) = 903

GCD(3, 903) = ( 3 x 903 ) / 903

GCD(3, 903) = 2709 / 903

GCD(3, 903) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 942

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

LCM(3, 942) = 942

GCD(3, 942) = ( 3 x 942 ) / 942

GCD(3, 942) = 2826 / 942

GCD(3, 942) = 3

GCD of 69, 840, 903, 942 is 3

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1. What is the GCD of 69, 840, 903, 942?

GCD of 69, 840, 903, 942 is 3

2. Where do I get the detailed procedure to find GCD of 69, 840, 903, 942?

You can find a detailed procedure to find GCD of 69, 840, 903, 942 on our page.

3. How to find GCD of 69, 840, 903, 942 on a calculator?

You can find the GCD of 69, 840, 903, 942 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.