GCD of 149, 891, 746, 387 Calculator

Given Input numbers are 149, 891, 746, 387

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

Divisors of 149

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

1, 149

Divisors of 891

List of positive integer divisors of 891 that divides 891 without a remainder.

1, 3, 9, 11, 27, 33, 81, 99, 297, 891

Divisors of 746

List of positive integer divisors of 746 that divides 746 without a remainder.

1, 2, 373, 746

Divisors of 387

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

1, 3, 9, 43, 129, 387

Greatest Common Divisior

We found the divisors of 149, 891, 746, 387 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 149, 891, 746, 387 is 1.

Therefore, GCD of numbers 149, 891, 746, 387 is 1

Given Input Data is 149, 891, 746, 387

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

Prime Factorization of 149 is 149

Prime Factorization of 891 is 3 x 3 x 3 x 3 x 11

Prime Factorization of 746 is 2 x 373

Prime Factorization of 387 is 3 x 3 x 43

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(149, 891) = 132759

GCD(149, 891) = ( 149 x 891 ) / 132759

GCD(149, 891) = 132759 / 132759

GCD(149, 891) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 746

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

LCM(1, 746) = 746

GCD(1, 746) = ( 1 x 746 ) / 746

GCD(1, 746) = 746 / 746

GCD(1, 746) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 387

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

LCM(1, 387) = 387

GCD(1, 387) = ( 1 x 387 ) / 387

GCD(1, 387) = 387 / 387

GCD(1, 387) = 1

GCD of 149, 891, 746, 387 is 1

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1. What is the GCD of 149, 891, 746, 387?

GCD of 149, 891, 746, 387 is 1

2. Where do I get the detailed procedure to find GCD of 149, 891, 746, 387?

You can find a detailed procedure to find GCD of 149, 891, 746, 387 on our page.

3. How to find GCD of 149, 891, 746, 387 on a calculator?

You can find the GCD of 149, 891, 746, 387 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.