GCD of 428, 377, 754, 921 Calculator

Given Input numbers are 428, 377, 754, 921

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

Divisors of 428

List of positive integer divisors of 428 that divides 428 without a remainder.

1, 2, 4, 107, 214, 428

Divisors of 377

List of positive integer divisors of 377 that divides 377 without a remainder.

1, 13, 29, 377

Divisors of 754

List of positive integer divisors of 754 that divides 754 without a remainder.

1, 2, 13, 26, 29, 58, 377, 754

Divisors of 921

List of positive integer divisors of 921 that divides 921 without a remainder.

1, 3, 307, 921

Greatest Common Divisior

We found the divisors of 428, 377, 754, 921 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 428, 377, 754, 921 is 1.

Therefore, GCD of numbers 428, 377, 754, 921 is 1

Given Input Data is 428, 377, 754, 921

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

Prime Factorization of 428 is 2 x 2 x 107

Prime Factorization of 377 is 13 x 29

Prime Factorization of 754 is 2 x 13 x 29

Prime Factorization of 921 is 3 x 307

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(428, 377) = 161356

GCD(428, 377) = ( 428 x 377 ) / 161356

GCD(428, 377) = 161356 / 161356

GCD(428, 377) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 754

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

LCM(1, 754) = 754

GCD(1, 754) = ( 1 x 754 ) / 754

GCD(1, 754) = 754 / 754

GCD(1, 754) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 921

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

LCM(1, 921) = 921

GCD(1, 921) = ( 1 x 921 ) / 921

GCD(1, 921) = 921 / 921

GCD(1, 921) = 1

GCD of 428, 377, 754, 921 is 1

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1. What is the GCD of 428, 377, 754, 921?

GCD of 428, 377, 754, 921 is 1

2. Where do I get the detailed procedure to find GCD of 428, 377, 754, 921?

You can find a detailed procedure to find GCD of 428, 377, 754, 921 on our page.

3. How to find GCD of 428, 377, 754, 921 on a calculator?

You can find the GCD of 428, 377, 754, 921 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.