GCD of 454, 940, 74, 267 Calculator

Given Input numbers are 454, 940, 74, 267

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

Divisors of 454

List of positive integer divisors of 454 that divides 454 without a remainder.

1, 2, 227, 454

Divisors of 940

List of positive integer divisors of 940 that divides 940 without a remainder.

1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940

Divisors of 74

List of positive integer divisors of 74 that divides 74 without a remainder.

1, 2, 37, 74

Divisors of 267

List of positive integer divisors of 267 that divides 267 without a remainder.

1, 3, 89, 267

Greatest Common Divisior

We found the divisors of 454, 940, 74, 267 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 454, 940, 74, 267 is 1.

Therefore, GCD of numbers 454, 940, 74, 267 is 1

Given Input Data is 454, 940, 74, 267

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

Prime Factorization of 454 is 2 x 227

Prime Factorization of 940 is 2 x 2 x 5 x 47

Prime Factorization of 74 is 2 x 37

Prime Factorization of 267 is 3 x 89

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(454, 940) = 213380

GCD(454, 940) = ( 454 x 940 ) / 213380

GCD(454, 940) = 426760 / 213380

GCD(454, 940) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 74

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

LCM(2, 74) = 74

GCD(2, 74) = ( 2 x 74 ) / 74

GCD(2, 74) = 148 / 74

GCD(2, 74) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 267

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

LCM(2, 267) = 534

GCD(2, 267) = ( 2 x 267 ) / 534

GCD(2, 267) = 534 / 534

GCD(2, 267) = 1

GCD of 454, 940, 74, 267 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 627, 999, 28, 993
• GCD of 748, 151, 34, 526
• GCD of 199, 701, 36, 132
• GCD of 713, 164, 45, 876
• GCD of 219, 695, 86, 196

1. What is the GCD of 454, 940, 74, 267?

GCD of 454, 940, 74, 267 is 1

2. Where do I get the detailed procedure to find GCD of 454, 940, 74, 267?

You can find a detailed procedure to find GCD of 454, 940, 74, 267 on our page.

3. How to find GCD of 454, 940, 74, 267 on a calculator?

You can find the GCD of 454, 940, 74, 267 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.