GCD of 943, 667, 920 Calculator

Given Input numbers are 943, 667, 920

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

Divisors of 943

List of positive integer divisors of 943 that divides 943 without a remainder.

1, 23, 41, 943

Divisors of 667

List of positive integer divisors of 667 that divides 667 without a remainder.

1, 23, 29, 667

Divisors of 920

List of positive integer divisors of 920 that divides 920 without a remainder.

1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

Greatest Common Divisior

We found the divisors of 943, 667, 920 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 943, 667, 920 is 23.

Therefore, GCD of numbers 943, 667, 920 is 23

Given Input Data is 943, 667, 920

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

Prime Factorization of 943 is 23 x 41

Prime Factorization of 667 is 23 x 29

Prime Factorization of 920 is 2 x 2 x 2 x 5 x 23

Highest common occurrences in the given inputs are 23¹

Multiplying them we get the GCD as 23

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(943, 667) = 27347

GCD(943, 667) = ( 943 x 667 ) / 27347

GCD(943, 667) = 628981 / 27347

GCD(943, 667) = 23

Step2:

Here we consider the GCD from the above i.e. 23 as first number and the next as 920

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

LCM(23, 920) = 920

GCD(23, 920) = ( 23 x 920 ) / 920

GCD(23, 920) = 21160 / 920

GCD(23, 920) = 23

GCD of 943, 667, 920 is 23

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• GCD of 521, 617, 542
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1. What is the GCD of 943, 667, 920?

GCD of 943, 667, 920 is 23

2. Where do I get the detailed procedure to find GCD of 943, 667, 920?

You can find a detailed procedure to find GCD of 943, 667, 920 on our page.

3. How to find GCD of 943, 667, 920 on a calculator?

You can find the GCD of 943, 667, 920 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.