GCD of 677, 335, 84, 986 Calculator

Given Input numbers are 677, 335, 84, 986

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

Divisors of 677

List of positive integer divisors of 677 that divides 677 without a remainder.

1, 677

Divisors of 335

List of positive integer divisors of 335 that divides 335 without a remainder.

1, 5, 67, 335

Divisors of 84

List of positive integer divisors of 84 that divides 84 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84

Divisors of 986

List of positive integer divisors of 986 that divides 986 without a remainder.

1, 2, 17, 29, 34, 58, 493, 986

Greatest Common Divisior

We found the divisors of 677, 335, 84, 986 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 677, 335, 84, 986 is 1.

Therefore, GCD of numbers 677, 335, 84, 986 is 1

Given Input Data is 677, 335, 84, 986

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

Prime Factorization of 677 is 677

Prime Factorization of 335 is 5 x 67

Prime Factorization of 84 is 2 x 2 x 3 x 7

Prime Factorization of 986 is 2 x 17 x 29

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(677, 335) = 226795

GCD(677, 335) = ( 677 x 335 ) / 226795

GCD(677, 335) = 226795 / 226795

GCD(677, 335) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 84

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

LCM(1, 84) = 84

GCD(1, 84) = ( 1 x 84 ) / 84

GCD(1, 84) = 84 / 84

GCD(1, 84) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 986

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

LCM(1, 986) = 986

GCD(1, 986) = ( 1 x 986 ) / 986

GCD(1, 986) = 986 / 986

GCD(1, 986) = 1

GCD of 677, 335, 84, 986 is 1

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1. What is the GCD of 677, 335, 84, 986?

GCD of 677, 335, 84, 986 is 1

2. Where do I get the detailed procedure to find GCD of 677, 335, 84, 986?

You can find a detailed procedure to find GCD of 677, 335, 84, 986 on our page.

3. How to find GCD of 677, 335, 84, 986 on a calculator?

You can find the GCD of 677, 335, 84, 986 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.