GCD of 736, 387, 114 Calculator

Given Input numbers are 736, 387, 114

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

Divisors of 736

List of positive integer divisors of 736 that divides 736 without a remainder.

1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736

Divisors of 387

List of positive integer divisors of 387 that divides 387 without a remainder.

1, 3, 9, 43, 129, 387

Divisors of 114

List of positive integer divisors of 114 that divides 114 without a remainder.

1, 2, 3, 6, 19, 38, 57, 114

Greatest Common Divisior

We found the divisors of 736, 387, 114 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 736, 387, 114 is 1.

Therefore, GCD of numbers 736, 387, 114 is 1

Given Input Data is 736, 387, 114

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

Prime Factorization of 736 is 2 x 2 x 2 x 2 x 2 x 23

Prime Factorization of 387 is 3 x 3 x 43

Prime Factorization of 114 is 2 x 3 x 19

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(736, 387) = 284832

GCD(736, 387) = ( 736 x 387 ) / 284832

GCD(736, 387) = 284832 / 284832

GCD(736, 387) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 114

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

LCM(1, 114) = 114

GCD(1, 114) = ( 1 x 114 ) / 114

GCD(1, 114) = 114 / 114

GCD(1, 114) = 1

GCD of 736, 387, 114 is 1

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• GCD of 506, 196, 953
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1. What is the GCD of 736, 387, 114?

GCD of 736, 387, 114 is 1

2. Where do I get the detailed procedure to find GCD of 736, 387, 114?

You can find a detailed procedure to find GCD of 736, 387, 114 on our page.

3. How to find GCD of 736, 387, 114 on a calculator?

You can find the GCD of 736, 387, 114 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.