GCD of 986, 971, 420, 334 Calculator

Given Input numbers are 986, 971, 420, 334

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

Divisors of 986

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

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

Divisors of 971

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

1, 971

Divisors of 420

List of positive integer divisors of 420 that divides 420 without a remainder.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

Divisors of 334

List of positive integer divisors of 334 that divides 334 without a remainder.

1, 2, 167, 334

Greatest Common Divisior

We found the divisors of 986, 971, 420, 334 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 986, 971, 420, 334 is 1.

Therefore, GCD of numbers 986, 971, 420, 334 is 1

Given Input Data is 986, 971, 420, 334

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

Prime Factorization of 986 is 2 x 17 x 29

Prime Factorization of 971 is 971

Prime Factorization of 420 is 2 x 2 x 3 x 5 x 7

Prime Factorization of 334 is 2 x 167

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(986, 971) = 957406

GCD(986, 971) = ( 986 x 971 ) / 957406

GCD(986, 971) = 957406 / 957406

GCD(986, 971) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 420

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

LCM(1, 420) = 420

GCD(1, 420) = ( 1 x 420 ) / 420

GCD(1, 420) = 420 / 420

GCD(1, 420) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 334

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

LCM(1, 334) = 334

GCD(1, 334) = ( 1 x 334 ) / 334

GCD(1, 334) = 334 / 334

GCD(1, 334) = 1

GCD of 986, 971, 420, 334 is 1

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• GCD of 368, 786, 824, 615
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1. What is the GCD of 986, 971, 420, 334?

GCD of 986, 971, 420, 334 is 1

2. Where do I get the detailed procedure to find GCD of 986, 971, 420, 334?

You can find a detailed procedure to find GCD of 986, 971, 420, 334 on our page.

3. How to find GCD of 986, 971, 420, 334 on a calculator?

You can find the GCD of 986, 971, 420, 334 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.