GCD of 165, 771, 98, 857 Calculator

Given Input numbers are 165, 771, 98, 857

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

Divisors of 165

List of positive integer divisors of 165 that divides 165 without a remainder.

1, 3, 5, 11, 15, 33, 55, 165

Divisors of 771

List of positive integer divisors of 771 that divides 771 without a remainder.

1, 3, 257, 771

Divisors of 98

List of positive integer divisors of 98 that divides 98 without a remainder.

1, 2, 7, 14, 49, 98

Divisors of 857

List of positive integer divisors of 857 that divides 857 without a remainder.

1, 857

Greatest Common Divisior

We found the divisors of 165, 771, 98, 857 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 165, 771, 98, 857 is 1.

Therefore, GCD of numbers 165, 771, 98, 857 is 1

Given Input Data is 165, 771, 98, 857

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

Prime Factorization of 165 is 3 x 5 x 11

Prime Factorization of 771 is 3 x 257

Prime Factorization of 98 is 2 x 7 x 7

Prime Factorization of 857 is 857

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(165, 771) = 42405

GCD(165, 771) = ( 165 x 771 ) / 42405

GCD(165, 771) = 127215 / 42405

GCD(165, 771) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 98

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

LCM(3, 98) = 294

GCD(3, 98) = ( 3 x 98 ) / 294

GCD(3, 98) = 294 / 294

GCD(3, 98) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 857

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

LCM(1, 857) = 857

GCD(1, 857) = ( 1 x 857 ) / 857

GCD(1, 857) = 857 / 857

GCD(1, 857) = 1

GCD of 165, 771, 98, 857 is 1

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1. What is the GCD of 165, 771, 98, 857?

GCD of 165, 771, 98, 857 is 1

2. Where do I get the detailed procedure to find GCD of 165, 771, 98, 857?

You can find a detailed procedure to find GCD of 165, 771, 98, 857 on our page.

3. How to find GCD of 165, 771, 98, 857 on a calculator?

You can find the GCD of 165, 771, 98, 857 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.