GCD of 704, 252, 994, 135 Calculator

Given Input numbers are 704, 252, 994, 135

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

Divisors of 704

List of positive integer divisors of 704 that divides 704 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

Divisors of 252

List of positive integer divisors of 252 that divides 252 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

Divisors of 994

List of positive integer divisors of 994 that divides 994 without a remainder.

1, 2, 7, 14, 71, 142, 497, 994

Divisors of 135

List of positive integer divisors of 135 that divides 135 without a remainder.

1, 3, 5, 9, 15, 27, 45, 135

Greatest Common Divisior

We found the divisors of 704, 252, 994, 135 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 704, 252, 994, 135 is 1.

Therefore, GCD of numbers 704, 252, 994, 135 is 1

Given Input Data is 704, 252, 994, 135

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

Prime Factorization of 704 is 2 x 2 x 2 x 2 x 2 x 2 x 11

Prime Factorization of 252 is 2 x 2 x 3 x 3 x 7

Prime Factorization of 994 is 2 x 7 x 71

Prime Factorization of 135 is 3 x 3 x 3 x 5

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(704, 252) = 44352

GCD(704, 252) = ( 704 x 252 ) / 44352

GCD(704, 252) = 177408 / 44352

GCD(704, 252) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 994

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

LCM(4, 994) = 1988

GCD(4, 994) = ( 4 x 994 ) / 1988

GCD(4, 994) = 3976 / 1988

GCD(4, 994) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 135

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

LCM(2, 135) = 270

GCD(2, 135) = ( 2 x 135 ) / 270

GCD(2, 135) = 270 / 270

GCD(2, 135) = 1

GCD of 704, 252, 994, 135 is 1

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1. What is the GCD of 704, 252, 994, 135?

GCD of 704, 252, 994, 135 is 1

2. Where do I get the detailed procedure to find GCD of 704, 252, 994, 135?

You can find a detailed procedure to find GCD of 704, 252, 994, 135 on our page.

3. How to find GCD of 704, 252, 994, 135 on a calculator?

You can find the GCD of 704, 252, 994, 135 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.