GCD of 986, 453, 67, 420 Calculator

Given Input numbers are 986, 453, 67, 420

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 453

List of positive integer divisors of 453 that divides 453 without a remainder.

1, 3, 151, 453

Divisors of 67

List of positive integer divisors of 67 that divides 67 without a remainder.

1, 67

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

Greatest Common Divisior

We found the divisors of 986, 453, 67, 420 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 986, 453, 67, 420 is 1.

Therefore, GCD of numbers 986, 453, 67, 420 is 1

Given Input Data is 986, 453, 67, 420

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 453 is 3 x 151

Prime Factorization of 67 is 67

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

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, 453) = 446658

GCD(986, 453) = ( 986 x 453 ) / 446658

GCD(986, 453) = 446658 / 446658

GCD(986, 453) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 67

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

LCM(1, 67) = 67

GCD(1, 67) = ( 1 x 67 ) / 67

GCD(1, 67) = 67 / 67

GCD(1, 67) = 1

Step3:

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

GCD of 986, 453, 67, 420 is 1

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1. What is the GCD of 986, 453, 67, 420?

GCD of 986, 453, 67, 420 is 1

2. Where do I get the detailed procedure to find GCD of 986, 453, 67, 420?

You can find a detailed procedure to find GCD of 986, 453, 67, 420 on our page.

3. How to find GCD of 986, 453, 67, 420 on a calculator?

You can find the GCD of 986, 453, 67, 420 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.