GCD of 926, 686, 750, 940 Calculator

Given Input numbers are 926, 686, 750, 940

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

Divisors of 926

List of positive integer divisors of 926 that divides 926 without a remainder.

1, 2, 463, 926

Divisors of 686

List of positive integer divisors of 686 that divides 686 without a remainder.

1, 2, 7, 14, 49, 98, 343, 686

Divisors of 750

List of positive integer divisors of 750 that divides 750 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750

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 926, 686, 750, 940 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 926, 686, 750, 940 is 2.

Therefore, GCD of numbers 926, 686, 750, 940 is 2

Given Input Data is 926, 686, 750, 940

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

Prime Factorization of 926 is 2 x 463

Prime Factorization of 686 is 2 x 7 x 7 x 7

Prime Factorization of 750 is 2 x 3 x 5 x 5 x 5

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

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(926, 686) = 317618

GCD(926, 686) = ( 926 x 686 ) / 317618

GCD(926, 686) = 635236 / 317618

GCD(926, 686) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 750

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

LCM(2, 750) = 750

GCD(2, 750) = ( 2 x 750 ) / 750

GCD(2, 750) = 1500 / 750

GCD(2, 750) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 940

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

LCM(2, 940) = 940

GCD(2, 940) = ( 2 x 940 ) / 940

GCD(2, 940) = 1880 / 940

GCD(2, 940) = 2

GCD of 926, 686, 750, 940 is 2

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1. What is the GCD of 926, 686, 750, 940?

GCD of 926, 686, 750, 940 is 2

2. Where do I get the detailed procedure to find GCD of 926, 686, 750, 940?

You can find a detailed procedure to find GCD of 926, 686, 750, 940 on our page.

3. How to find GCD of 926, 686, 750, 940 on a calculator?

You can find the GCD of 926, 686, 750, 940 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.