GCD of 83, 149, 734, 261 Calculator

Given Input numbers are 83, 149, 734, 261

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

Divisors of 83

List of positive integer divisors of 83 that divides 83 without a remainder.

1, 83

Divisors of 149

List of positive integer divisors of 149 that divides 149 without a remainder.

1, 149

Divisors of 734

List of positive integer divisors of 734 that divides 734 without a remainder.

1, 2, 367, 734

Divisors of 261

List of positive integer divisors of 261 that divides 261 without a remainder.

1, 3, 9, 29, 87, 261

Greatest Common Divisior

We found the divisors of 83, 149, 734, 261 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 83, 149, 734, 261 is 1.

Therefore, GCD of numbers 83, 149, 734, 261 is 1

Given Input Data is 83, 149, 734, 261

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

Prime Factorization of 83 is 83

Prime Factorization of 149 is 149

Prime Factorization of 734 is 2 x 367

Prime Factorization of 261 is 3 x 3 x 29

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(83, 149) = 12367

GCD(83, 149) = ( 83 x 149 ) / 12367

GCD(83, 149) = 12367 / 12367

GCD(83, 149) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 734

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

LCM(1, 734) = 734

GCD(1, 734) = ( 1 x 734 ) / 734

GCD(1, 734) = 734 / 734

GCD(1, 734) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 261

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

LCM(1, 261) = 261

GCD(1, 261) = ( 1 x 261 ) / 261

GCD(1, 261) = 261 / 261

GCD(1, 261) = 1

GCD of 83, 149, 734, 261 is 1

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• GCD of 98, 522, 363, 922
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1. What is the GCD of 83, 149, 734, 261?

GCD of 83, 149, 734, 261 is 1

2. Where do I get the detailed procedure to find GCD of 83, 149, 734, 261?

You can find a detailed procedure to find GCD of 83, 149, 734, 261 on our page.

3. How to find GCD of 83, 149, 734, 261 on a calculator?

You can find the GCD of 83, 149, 734, 261 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.