GCD of 497, 886, 101, 987 Calculator

Given Input numbers are 497, 886, 101, 987

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

Divisors of 497

List of positive integer divisors of 497 that divides 497 without a remainder.

1, 7, 71, 497

Divisors of 886

List of positive integer divisors of 886 that divides 886 without a remainder.

1, 2, 443, 886

Divisors of 101

List of positive integer divisors of 101 that divides 101 without a remainder.

1, 101

Divisors of 987

List of positive integer divisors of 987 that divides 987 without a remainder.

1, 3, 7, 21, 47, 141, 329, 987

Greatest Common Divisior

We found the divisors of 497, 886, 101, 987 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 497, 886, 101, 987 is 1.

Therefore, GCD of numbers 497, 886, 101, 987 is 1

Given Input Data is 497, 886, 101, 987

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

Prime Factorization of 497 is 7 x 71

Prime Factorization of 886 is 2 x 443

Prime Factorization of 101 is 101

Prime Factorization of 987 is 3 x 7 x 47

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(497, 886) = 440342

GCD(497, 886) = ( 497 x 886 ) / 440342

GCD(497, 886) = 440342 / 440342

GCD(497, 886) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 101

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

LCM(1, 101) = 101

GCD(1, 101) = ( 1 x 101 ) / 101

GCD(1, 101) = 101 / 101

GCD(1, 101) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 987

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

LCM(1, 987) = 987

GCD(1, 987) = ( 1 x 987 ) / 987

GCD(1, 987) = 987 / 987

GCD(1, 987) = 1

GCD of 497, 886, 101, 987 is 1

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1. What is the GCD of 497, 886, 101, 987?

GCD of 497, 886, 101, 987 is 1

2. Where do I get the detailed procedure to find GCD of 497, 886, 101, 987?

You can find a detailed procedure to find GCD of 497, 886, 101, 987 on our page.

3. How to find GCD of 497, 886, 101, 987 on a calculator?

You can find the GCD of 497, 886, 101, 987 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.