GCD of 291, 282, 45, 134 Calculator

Given Input numbers are 291, 282, 45, 134

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

Divisors of 291

List of positive integer divisors of 291 that divides 291 without a remainder.

1, 3, 97, 291

Divisors of 282

List of positive integer divisors of 282 that divides 282 without a remainder.

1, 2, 3, 6, 47, 94, 141, 282

Divisors of 45

List of positive integer divisors of 45 that divides 45 without a remainder.

1, 3, 5, 9, 15, 45

Divisors of 134

List of positive integer divisors of 134 that divides 134 without a remainder.

1, 2, 67, 134

Greatest Common Divisior

We found the divisors of 291, 282, 45, 134 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 291, 282, 45, 134 is 1.

Therefore, GCD of numbers 291, 282, 45, 134 is 1

Given Input Data is 291, 282, 45, 134

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

Prime Factorization of 291 is 3 x 97

Prime Factorization of 282 is 2 x 3 x 47

Prime Factorization of 45 is 3 x 3 x 5

Prime Factorization of 134 is 2 x 67

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(291, 282) = 27354

GCD(291, 282) = ( 291 x 282 ) / 27354

GCD(291, 282) = 82062 / 27354

GCD(291, 282) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 45

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

LCM(3, 45) = 45

GCD(3, 45) = ( 3 x 45 ) / 45

GCD(3, 45) = 135 / 45

GCD(3, 45) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 134

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

LCM(3, 134) = 402

GCD(3, 134) = ( 3 x 134 ) / 402

GCD(3, 134) = 402 / 402

GCD(3, 134) = 1

GCD of 291, 282, 45, 134 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 458, 567, 89, 459
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• GCD of 897, 660, 93, 823
• GCD of 826, 952, 42, 609
• GCD of 549, 940, 32, 666

1. What is the GCD of 291, 282, 45, 134?

GCD of 291, 282, 45, 134 is 1

2. Where do I get the detailed procedure to find GCD of 291, 282, 45, 134?

You can find a detailed procedure to find GCD of 291, 282, 45, 134 on our page.

3. How to find GCD of 291, 282, 45, 134 on a calculator?

You can find the GCD of 291, 282, 45, 134 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.