GCD of 970, 385, 824, 914 Calculator

Given Input numbers are 970, 385, 824, 914

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

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 385

List of positive integer divisors of 385 that divides 385 without a remainder.

1, 5, 7, 11, 35, 55, 77, 385

Divisors of 824

List of positive integer divisors of 824 that divides 824 without a remainder.

1, 2, 4, 8, 103, 206, 412, 824

Divisors of 914

List of positive integer divisors of 914 that divides 914 without a remainder.

1, 2, 457, 914

Greatest Common Divisior

We found the divisors of 970, 385, 824, 914 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 970, 385, 824, 914 is 1.

Therefore, GCD of numbers 970, 385, 824, 914 is 1

Given Input Data is 970, 385, 824, 914

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

Prime Factorization of 970 is 2 x 5 x 97

Prime Factorization of 385 is 5 x 7 x 11

Prime Factorization of 824 is 2 x 2 x 2 x 103

Prime Factorization of 914 is 2 x 457

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(970, 385) = 74690

GCD(970, 385) = ( 970 x 385 ) / 74690

GCD(970, 385) = 373450 / 74690

GCD(970, 385) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 824

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

LCM(5, 824) = 4120

GCD(5, 824) = ( 5 x 824 ) / 4120

GCD(5, 824) = 4120 / 4120

GCD(5, 824) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 914

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

LCM(1, 914) = 914

GCD(1, 914) = ( 1 x 914 ) / 914

GCD(1, 914) = 914 / 914

GCD(1, 914) = 1

GCD of 970, 385, 824, 914 is 1

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1. What is the GCD of 970, 385, 824, 914?

GCD of 970, 385, 824, 914 is 1

2. Where do I get the detailed procedure to find GCD of 970, 385, 824, 914?

You can find a detailed procedure to find GCD of 970, 385, 824, 914 on our page.

3. How to find GCD of 970, 385, 824, 914 on a calculator?

You can find the GCD of 970, 385, 824, 914 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.