GCD of 975, 863, 354, 882 Calculator

Given Input numbers are 975, 863, 354, 882

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

Divisors of 975

List of positive integer divisors of 975 that divides 975 without a remainder.

1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975

Divisors of 863

List of positive integer divisors of 863 that divides 863 without a remainder.

1, 863

Divisors of 354

List of positive integer divisors of 354 that divides 354 without a remainder.

1, 2, 3, 6, 59, 118, 177, 354

Divisors of 882

List of positive integer divisors of 882 that divides 882 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882

Greatest Common Divisior

We found the divisors of 975, 863, 354, 882 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 975, 863, 354, 882 is 1.

Therefore, GCD of numbers 975, 863, 354, 882 is 1

Given Input Data is 975, 863, 354, 882

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

Prime Factorization of 975 is 3 x 5 x 5 x 13

Prime Factorization of 863 is 863

Prime Factorization of 354 is 2 x 3 x 59

Prime Factorization of 882 is 2 x 3 x 3 x 7 x 7

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(975, 863) = 841425

GCD(975, 863) = ( 975 x 863 ) / 841425

GCD(975, 863) = 841425 / 841425

GCD(975, 863) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 354

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

LCM(1, 354) = 354

GCD(1, 354) = ( 1 x 354 ) / 354

GCD(1, 354) = 354 / 354

GCD(1, 354) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 882

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

LCM(1, 882) = 882

GCD(1, 882) = ( 1 x 882 ) / 882

GCD(1, 882) = 882 / 882

GCD(1, 882) = 1

GCD of 975, 863, 354, 882 is 1

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1. What is the GCD of 975, 863, 354, 882?

GCD of 975, 863, 354, 882 is 1

2. Where do I get the detailed procedure to find GCD of 975, 863, 354, 882?

You can find a detailed procedure to find GCD of 975, 863, 354, 882 on our page.

3. How to find GCD of 975, 863, 354, 882 on a calculator?

You can find the GCD of 975, 863, 354, 882 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.