GCD of 160, 364, 938 Calculator

Given Input numbers are 160, 364, 938

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

Divisors of 160

List of positive integer divisors of 160 that divides 160 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160

Divisors of 364

List of positive integer divisors of 364 that divides 364 without a remainder.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

Divisors of 938

List of positive integer divisors of 938 that divides 938 without a remainder.

1, 2, 7, 14, 67, 134, 469, 938

Greatest Common Divisior

We found the divisors of 160, 364, 938 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 160, 364, 938 is 2.

Therefore, GCD of numbers 160, 364, 938 is 2

Given Input Data is 160, 364, 938

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

Prime Factorization of 160 is 2 x 2 x 2 x 2 x 2 x 5

Prime Factorization of 364 is 2 x 2 x 7 x 13

Prime Factorization of 938 is 2 x 7 x 67

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(160, 364) = 14560

GCD(160, 364) = ( 160 x 364 ) / 14560

GCD(160, 364) = 58240 / 14560

GCD(160, 364) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 938

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

LCM(4, 938) = 1876

GCD(4, 938) = ( 4 x 938 ) / 1876

GCD(4, 938) = 3752 / 1876

GCD(4, 938) = 2

GCD of 160, 364, 938 is 2

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• GCD of 966, 199, 400
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1. What is the GCD of 160, 364, 938?

GCD of 160, 364, 938 is 2

2. Where do I get the detailed procedure to find GCD of 160, 364, 938?

You can find a detailed procedure to find GCD of 160, 364, 938 on our page.

3. How to find GCD of 160, 364, 938 on a calculator?

You can find the GCD of 160, 364, 938 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.