GCD of 352, 940, 40, 980 Calculator

Given Input numbers are 352, 940, 40, 980

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

Divisors of 352

List of positive integer divisors of 352 that divides 352 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352

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 40

List of positive integer divisors of 40 that divides 40 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40

Divisors of 980

List of positive integer divisors of 980 that divides 980 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980

Greatest Common Divisior

We found the divisors of 352, 940, 40, 980 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 352, 940, 40, 980 is 4.

Therefore, GCD of numbers 352, 940, 40, 980 is 4

Given Input Data is 352, 940, 40, 980

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

Prime Factorization of 352 is 2 x 2 x 2 x 2 x 2 x 11

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

Prime Factorization of 40 is 2 x 2 x 2 x 5

Prime Factorization of 980 is 2 x 2 x 5 x 7 x 7

Highest common occurrences in the given inputs are 2²

Multiplying them we get the GCD as 4

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(352, 940) = 82720

GCD(352, 940) = ( 352 x 940 ) / 82720

GCD(352, 940) = 330880 / 82720

GCD(352, 940) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 40

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

LCM(4, 40) = 40

GCD(4, 40) = ( 4 x 40 ) / 40

GCD(4, 40) = 160 / 40

GCD(4, 40) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 980

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

LCM(4, 980) = 980

GCD(4, 980) = ( 4 x 980 ) / 980

GCD(4, 980) = 3920 / 980

GCD(4, 980) = 4

GCD of 352, 940, 40, 980 is 4

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1. What is the GCD of 352, 940, 40, 980?

GCD of 352, 940, 40, 980 is 4

2. Where do I get the detailed procedure to find GCD of 352, 940, 40, 980?

You can find a detailed procedure to find GCD of 352, 940, 40, 980 on our page.

3. How to find GCD of 352, 940, 40, 980 on a calculator?

You can find the GCD of 352, 940, 40, 980 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.