GCD of 962, 896, 70, 284 Calculator

Given Input numbers are 962, 896, 70, 284

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

Divisors of 962

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

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

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 70

List of positive integer divisors of 70 that divides 70 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70

Divisors of 284

List of positive integer divisors of 284 that divides 284 without a remainder.

1, 2, 4, 71, 142, 284

Greatest Common Divisior

We found the divisors of 962, 896, 70, 284 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 962, 896, 70, 284 is 2.

Therefore, GCD of numbers 962, 896, 70, 284 is 2

Given Input Data is 962, 896, 70, 284

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

Prime Factorization of 962 is 2 x 13 x 37

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

Prime Factorization of 70 is 2 x 5 x 7

Prime Factorization of 284 is 2 x 2 x 71

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(962, 896) = 430976

GCD(962, 896) = ( 962 x 896 ) / 430976

GCD(962, 896) = 861952 / 430976

GCD(962, 896) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 70

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

LCM(2, 70) = 70

GCD(2, 70) = ( 2 x 70 ) / 70

GCD(2, 70) = 140 / 70

GCD(2, 70) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 284

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

LCM(2, 284) = 284

GCD(2, 284) = ( 2 x 284 ) / 284

GCD(2, 284) = 568 / 284

GCD(2, 284) = 2

GCD of 962, 896, 70, 284 is 2

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1. What is the GCD of 962, 896, 70, 284?

GCD of 962, 896, 70, 284 is 2

2. Where do I get the detailed procedure to find GCD of 962, 896, 70, 284?

You can find a detailed procedure to find GCD of 962, 896, 70, 284 on our page.

3. How to find GCD of 962, 896, 70, 284 on a calculator?

You can find the GCD of 962, 896, 70, 284 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.