GCD of 67, 137, 225, 457 Calculator

Given Input numbers are 67, 137, 225, 457

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

Divisors of 67

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

1, 67

Divisors of 137

List of positive integer divisors of 137 that divides 137 without a remainder.

1, 137

Divisors of 225

List of positive integer divisors of 225 that divides 225 without a remainder.

1, 3, 5, 9, 15, 25, 45, 75, 225

Divisors of 457

List of positive integer divisors of 457 that divides 457 without a remainder.

1, 457

Greatest Common Divisior

We found the divisors of 67, 137, 225, 457 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 67, 137, 225, 457 is 1.

Therefore, GCD of numbers 67, 137, 225, 457 is 1

Given Input Data is 67, 137, 225, 457

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

Prime Factorization of 67 is 67

Prime Factorization of 137 is 137

Prime Factorization of 225 is 3 x 3 x 5 x 5

Prime Factorization of 457 is 457

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(67, 137) = 9179

GCD(67, 137) = ( 67 x 137 ) / 9179

GCD(67, 137) = 9179 / 9179

GCD(67, 137) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 225

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

LCM(1, 225) = 225

GCD(1, 225) = ( 1 x 225 ) / 225

GCD(1, 225) = 225 / 225

GCD(1, 225) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 457

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

LCM(1, 457) = 457

GCD(1, 457) = ( 1 x 457 ) / 457

GCD(1, 457) = 457 / 457

GCD(1, 457) = 1

GCD of 67, 137, 225, 457 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 65, 773, 838, 916
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• GCD of 30, 699, 274, 906
• GCD of 91, 143, 847, 943
• GCD of 33, 983, 600, 891

1. What is the GCD of 67, 137, 225, 457?

GCD of 67, 137, 225, 457 is 1

2. Where do I get the detailed procedure to find GCD of 67, 137, 225, 457?

You can find a detailed procedure to find GCD of 67, 137, 225, 457 on our page.

3. How to find GCD of 67, 137, 225, 457 on a calculator?

You can find the GCD of 67, 137, 225, 457 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.