GCD of 896, 600, 71, 962 Calculator

Given Input numbers are 896, 600, 71, 962

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

Divisors of 896

List of positive integer divisors of 896 that divides 896 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896

Divisors of 600

List of positive integer divisors of 600 that divides 600 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600

Divisors of 71

List of positive integer divisors of 71 that divides 71 without a remainder.

1, 71

Divisors of 962

List of positive integer divisors of 962 that divides 962 without a remainder.

1, 2, 13, 26, 37, 74, 481, 962

Greatest Common Divisior

We found the divisors of 896, 600, 71, 962 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 896, 600, 71, 962 is 1.

Therefore, GCD of numbers 896, 600, 71, 962 is 1

Given Input Data is 896, 600, 71, 962

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

Prime Factorization of 896 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7

Prime Factorization of 600 is 2 x 2 x 2 x 3 x 5 x 5

Prime Factorization of 71 is 71

Prime Factorization of 962 is 2 x 13 x 37

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(896, 600) = 67200

GCD(896, 600) = ( 896 x 600 ) / 67200

GCD(896, 600) = 537600 / 67200

GCD(896, 600) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 71

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

LCM(8, 71) = 568

GCD(8, 71) = ( 8 x 71 ) / 568

GCD(8, 71) = 568 / 568

GCD(8, 71) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 962

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

LCM(1, 962) = 962

GCD(1, 962) = ( 1 x 962 ) / 962

GCD(1, 962) = 962 / 962

GCD(1, 962) = 1

GCD of 896, 600, 71, 962 is 1

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1. What is the GCD of 896, 600, 71, 962?

GCD of 896, 600, 71, 962 is 1

2. Where do I get the detailed procedure to find GCD of 896, 600, 71, 962?

You can find a detailed procedure to find GCD of 896, 600, 71, 962 on our page.

3. How to find GCD of 896, 600, 71, 962 on a calculator?

You can find the GCD of 896, 600, 71, 962 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.