GCD of 919, 986, 172, 970 Calculator

Given Input numbers are 919, 986, 172, 970

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

Divisors of 919

List of positive integer divisors of 919 that divides 919 without a remainder.

1, 919

Divisors of 986

List of positive integer divisors of 986 that divides 986 without a remainder.

1, 2, 17, 29, 34, 58, 493, 986

Divisors of 172

List of positive integer divisors of 172 that divides 172 without a remainder.

1, 2, 4, 43, 86, 172

Divisors of 970

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

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

Greatest Common Divisior

We found the divisors of 919, 986, 172, 970 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 919, 986, 172, 970 is 1.

Therefore, GCD of numbers 919, 986, 172, 970 is 1

Given Input Data is 919, 986, 172, 970

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

Prime Factorization of 919 is 919

Prime Factorization of 986 is 2 x 17 x 29

Prime Factorization of 172 is 2 x 2 x 43

Prime Factorization of 970 is 2 x 5 x 97

The above numbers do not have any common prime factor. So GCD is 1

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(919, 986) = 906134

GCD(919, 986) = ( 919 x 986 ) / 906134

GCD(919, 986) = 906134 / 906134

GCD(919, 986) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 172

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

LCM(1, 172) = 172

GCD(1, 172) = ( 1 x 172 ) / 172

GCD(1, 172) = 172 / 172

GCD(1, 172) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 970

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

LCM(1, 970) = 970

GCD(1, 970) = ( 1 x 970 ) / 970

GCD(1, 970) = 970 / 970

GCD(1, 970) = 1

GCD of 919, 986, 172, 970 is 1

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• GCD of 940, 645, 581, 597
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1. What is the GCD of 919, 986, 172, 970?

GCD of 919, 986, 172, 970 is 1

2. Where do I get the detailed procedure to find GCD of 919, 986, 172, 970?

You can find a detailed procedure to find GCD of 919, 986, 172, 970 on our page.

3. How to find GCD of 919, 986, 172, 970 on a calculator?

You can find the GCD of 919, 986, 172, 970 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.