GCD of 940, 720, 982, 712 Calculator

Given Input numbers are 940, 720, 982, 712

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 720

List of positive integer divisors of 720 that divides 720 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

Divisors of 982

List of positive integer divisors of 982 that divides 982 without a remainder.

1, 2, 491, 982

Divisors of 712

List of positive integer divisors of 712 that divides 712 without a remainder.

1, 2, 4, 8, 89, 178, 356, 712

Greatest Common Divisior

We found the divisors of 940, 720, 982, 712 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 940, 720, 982, 712 is 2.

Therefore, GCD of numbers 940, 720, 982, 712 is 2

Given Input Data is 940, 720, 982, 712

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 720 is 2 x 2 x 2 x 2 x 3 x 3 x 5

Prime Factorization of 982 is 2 x 491

Prime Factorization of 712 is 2 x 2 x 2 x 89

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, 720) = 33840

GCD(940, 720) = ( 940 x 720 ) / 33840

GCD(940, 720) = 676800 / 33840

GCD(940, 720) = 20

Step2:

Here we consider the GCD from the above i.e. 20 as first number and the next as 982

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

LCM(20, 982) = 9820

GCD(20, 982) = ( 20 x 982 ) / 9820

GCD(20, 982) = 19640 / 9820

GCD(20, 982) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 712

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

LCM(2, 712) = 712

GCD(2, 712) = ( 2 x 712 ) / 712

GCD(2, 712) = 1424 / 712

GCD(2, 712) = 2

GCD of 940, 720, 982, 712 is 2

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1. What is the GCD of 940, 720, 982, 712?

GCD of 940, 720, 982, 712 is 2

2. Where do I get the detailed procedure to find GCD of 940, 720, 982, 712?

You can find a detailed procedure to find GCD of 940, 720, 982, 712 on our page.

3. How to find GCD of 940, 720, 982, 712 on a calculator?

You can find the GCD of 940, 720, 982, 712 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.