GCD of 786, 940, 540, 688 Calculator

Given Input numbers are 786, 940, 540, 688

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

Divisors of 786

List of positive integer divisors of 786 that divides 786 without a remainder.

1, 2, 3, 6, 131, 262, 393, 786

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 540

List of positive integer divisors of 540 that divides 540 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

Divisors of 688

List of positive integer divisors of 688 that divides 688 without a remainder.

1, 2, 4, 8, 16, 43, 86, 172, 344, 688

Greatest Common Divisior

We found the divisors of 786, 940, 540, 688 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 786, 940, 540, 688 is 2.

Therefore, GCD of numbers 786, 940, 540, 688 is 2

Given Input Data is 786, 940, 540, 688

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

Prime Factorization of 786 is 2 x 3 x 131

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

Prime Factorization of 540 is 2 x 2 x 3 x 3 x 3 x 5

Prime Factorization of 688 is 2 x 2 x 2 x 2 x 43

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(786, 940) = 369420

GCD(786, 940) = ( 786 x 940 ) / 369420

GCD(786, 940) = 738840 / 369420

GCD(786, 940) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 540

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

LCM(2, 540) = 540

GCD(2, 540) = ( 2 x 540 ) / 540

GCD(2, 540) = 1080 / 540

GCD(2, 540) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 688

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

LCM(2, 688) = 688

GCD(2, 688) = ( 2 x 688 ) / 688

GCD(2, 688) = 1376 / 688

GCD(2, 688) = 2

GCD of 786, 940, 540, 688 is 2

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1. What is the GCD of 786, 940, 540, 688?

GCD of 786, 940, 540, 688 is 2

2. Where do I get the detailed procedure to find GCD of 786, 940, 540, 688?

You can find a detailed procedure to find GCD of 786, 940, 540, 688 on our page.

3. How to find GCD of 786, 940, 540, 688 on a calculator?

You can find the GCD of 786, 940, 540, 688 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.