GCD of 632, 896, 70, 563 Calculator

Given Input numbers are 632, 896, 70, 563

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

Divisors of 632

List of positive integer divisors of 632 that divides 632 without a remainder.

1, 2, 4, 8, 79, 158, 316, 632

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 563

List of positive integer divisors of 563 that divides 563 without a remainder.

1, 563

Greatest Common Divisior

We found the divisors of 632, 896, 70, 563 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 632, 896, 70, 563 is 1.

Therefore, GCD of numbers 632, 896, 70, 563 is 1

Given Input Data is 632, 896, 70, 563

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

Prime Factorization of 632 is 2 x 2 x 2 x 79

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 563 is 563

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(632, 896) = 70784

GCD(632, 896) = ( 632 x 896 ) / 70784

GCD(632, 896) = 566272 / 70784

GCD(632, 896) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 70

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

LCM(8, 70) = 280

GCD(8, 70) = ( 8 x 70 ) / 280

GCD(8, 70) = 560 / 280

GCD(8, 70) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 563

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

LCM(2, 563) = 1126

GCD(2, 563) = ( 2 x 563 ) / 1126

GCD(2, 563) = 1126 / 1126

GCD(2, 563) = 1

GCD of 632, 896, 70, 563 is 1

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1. What is the GCD of 632, 896, 70, 563?

GCD of 632, 896, 70, 563 is 1

2. Where do I get the detailed procedure to find GCD of 632, 896, 70, 563?

You can find a detailed procedure to find GCD of 632, 896, 70, 563 on our page.

3. How to find GCD of 632, 896, 70, 563 on a calculator?

You can find the GCD of 632, 896, 70, 563 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.