GCD of 235, 456, 882, 971 Calculator

Given Input numbers are 235, 456, 882, 971

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

Divisors of 235

List of positive integer divisors of 235 that divides 235 without a remainder.

1, 5, 47, 235

Divisors of 456

List of positive integer divisors of 456 that divides 456 without a remainder.

1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

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

Divisors of 971

List of positive integer divisors of 971 that divides 971 without a remainder.

1, 971

Greatest Common Divisior

We found the divisors of 235, 456, 882, 971 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 235, 456, 882, 971 is 1.

Therefore, GCD of numbers 235, 456, 882, 971 is 1

Given Input Data is 235, 456, 882, 971

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

Prime Factorization of 235 is 5 x 47

Prime Factorization of 456 is 2 x 2 x 2 x 3 x 19

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

Prime Factorization of 971 is 971

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(235, 456) = 107160

GCD(235, 456) = ( 235 x 456 ) / 107160

GCD(235, 456) = 107160 / 107160

GCD(235, 456) = 1

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 971

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

LCM(1, 971) = 971

GCD(1, 971) = ( 1 x 971 ) / 971

GCD(1, 971) = 971 / 971

GCD(1, 971) = 1

GCD of 235, 456, 882, 971 is 1

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• GCD of 464, 501, 987, 414
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• GCD of 359, 241, 206, 584

1. What is the GCD of 235, 456, 882, 971?

GCD of 235, 456, 882, 971 is 1

2. Where do I get the detailed procedure to find GCD of 235, 456, 882, 971?

You can find a detailed procedure to find GCD of 235, 456, 882, 971 on our page.

3. How to find GCD of 235, 456, 882, 971 on a calculator?

You can find the GCD of 235, 456, 882, 971 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.