GCD of 208, 967, 86, 997 Calculator

Given Input numbers are 208, 967, 86, 997

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

Divisors of 208

List of positive integer divisors of 208 that divides 208 without a remainder.

1, 2, 4, 8, 13, 16, 26, 52, 104, 208

Divisors of 967

List of positive integer divisors of 967 that divides 967 without a remainder.

1, 967

Divisors of 86

List of positive integer divisors of 86 that divides 86 without a remainder.

1, 2, 43, 86

Divisors of 997

List of positive integer divisors of 997 that divides 997 without a remainder.

1, 997

Greatest Common Divisior

We found the divisors of 208, 967, 86, 997 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 208, 967, 86, 997 is 1.

Therefore, GCD of numbers 208, 967, 86, 997 is 1

Given Input Data is 208, 967, 86, 997

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

Prime Factorization of 208 is 2 x 2 x 2 x 2 x 13

Prime Factorization of 967 is 967

Prime Factorization of 86 is 2 x 43

Prime Factorization of 997 is 997

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(208, 967) = 201136

GCD(208, 967) = ( 208 x 967 ) / 201136

GCD(208, 967) = 201136 / 201136

GCD(208, 967) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 86

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

LCM(1, 86) = 86

GCD(1, 86) = ( 1 x 86 ) / 86

GCD(1, 86) = 86 / 86

GCD(1, 86) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 997

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

LCM(1, 997) = 997

GCD(1, 997) = ( 1 x 997 ) / 997

GCD(1, 997) = 997 / 997

GCD(1, 997) = 1

GCD of 208, 967, 86, 997 is 1

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1. What is the GCD of 208, 967, 86, 997?

GCD of 208, 967, 86, 997 is 1

2. Where do I get the detailed procedure to find GCD of 208, 967, 86, 997?

You can find a detailed procedure to find GCD of 208, 967, 86, 997 on our page.

3. How to find GCD of 208, 967, 86, 997 on a calculator?

You can find the GCD of 208, 967, 86, 997 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.