GCD of 766, 970, 160 Calculator

Given Input numbers are 766, 970, 160

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

Divisors of 766

List of positive integer divisors of 766 that divides 766 without a remainder.

1, 2, 383, 766

Divisors of 970

List of positive integer divisors of 970 that divides 970 without a remainder.

1, 2, 5, 10, 97, 194, 485, 970

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

Greatest Common Divisior

We found the divisors of 766, 970, 160 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 766, 970, 160 is 2.

Therefore, GCD of numbers 766, 970, 160 is 2

Given Input Data is 766, 970, 160

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

Prime Factorization of 766 is 2 x 383

Prime Factorization of 970 is 2 x 5 x 97

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

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(766, 970) = 371510

GCD(766, 970) = ( 766 x 970 ) / 371510

GCD(766, 970) = 743020 / 371510

GCD(766, 970) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 160

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

LCM(2, 160) = 160

GCD(2, 160) = ( 2 x 160 ) / 160

GCD(2, 160) = 320 / 160

GCD(2, 160) = 2

GCD of 766, 970, 160 is 2

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1. What is the GCD of 766, 970, 160?

GCD of 766, 970, 160 is 2

2. Where do I get the detailed procedure to find GCD of 766, 970, 160?

You can find a detailed procedure to find GCD of 766, 970, 160 on our page.

3. How to find GCD of 766, 970, 160 on a calculator?

You can find the GCD of 766, 970, 160 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.