GCD of 532, 688, 88, 899 Calculator

Given Input numbers are 532, 688, 88, 899

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

Divisors of 532

List of positive integer divisors of 532 that divides 532 without a remainder.

1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532

Divisors of 688

List of positive integer divisors of 688 that divides 688 without a remainder.

1, 2, 4, 8, 16, 43, 86, 172, 344, 688

Divisors of 88

List of positive integer divisors of 88 that divides 88 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88

Divisors of 899

List of positive integer divisors of 899 that divides 899 without a remainder.

1, 29, 31, 899

Greatest Common Divisior

We found the divisors of 532, 688, 88, 899 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 532, 688, 88, 899 is 1.

Therefore, GCD of numbers 532, 688, 88, 899 is 1

Given Input Data is 532, 688, 88, 899

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

Prime Factorization of 532 is 2 x 2 x 7 x 19

Prime Factorization of 688 is 2 x 2 x 2 x 2 x 43

Prime Factorization of 88 is 2 x 2 x 2 x 11

Prime Factorization of 899 is 29 x 31

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(532, 688) = 91504

GCD(532, 688) = ( 532 x 688 ) / 91504

GCD(532, 688) = 366016 / 91504

GCD(532, 688) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 88

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

LCM(4, 88) = 88

GCD(4, 88) = ( 4 x 88 ) / 88

GCD(4, 88) = 352 / 88

GCD(4, 88) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 899

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

LCM(4, 899) = 3596

GCD(4, 899) = ( 4 x 899 ) / 3596

GCD(4, 899) = 3596 / 3596

GCD(4, 899) = 1

GCD of 532, 688, 88, 899 is 1

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1. What is the GCD of 532, 688, 88, 899?

GCD of 532, 688, 88, 899 is 1

2. Where do I get the detailed procedure to find GCD of 532, 688, 88, 899?

You can find a detailed procedure to find GCD of 532, 688, 88, 899 on our page.

3. How to find GCD of 532, 688, 88, 899 on a calculator?

You can find the GCD of 532, 688, 88, 899 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.