GCD of 308, 921, 541, 750 Calculator

Given Input numbers are 308, 921, 541, 750

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

Divisors of 308

List of positive integer divisors of 308 that divides 308 without a remainder.

1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

Divisors of 921

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

1, 3, 307, 921

Divisors of 541

List of positive integer divisors of 541 that divides 541 without a remainder.

1, 541

Divisors of 750

List of positive integer divisors of 750 that divides 750 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750

Greatest Common Divisior

We found the divisors of 308, 921, 541, 750 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 308, 921, 541, 750 is 1.

Therefore, GCD of numbers 308, 921, 541, 750 is 1

Given Input Data is 308, 921, 541, 750

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

Prime Factorization of 308 is 2 x 2 x 7 x 11

Prime Factorization of 921 is 3 x 307

Prime Factorization of 541 is 541

Prime Factorization of 750 is 2 x 3 x 5 x 5 x 5

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(308, 921) = 283668

GCD(308, 921) = ( 308 x 921 ) / 283668

GCD(308, 921) = 283668 / 283668

GCD(308, 921) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 541

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

LCM(1, 541) = 541

GCD(1, 541) = ( 1 x 541 ) / 541

GCD(1, 541) = 541 / 541

GCD(1, 541) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 750

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

LCM(1, 750) = 750

GCD(1, 750) = ( 1 x 750 ) / 750

GCD(1, 750) = 750 / 750

GCD(1, 750) = 1

GCD of 308, 921, 541, 750 is 1

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1. What is the GCD of 308, 921, 541, 750?

GCD of 308, 921, 541, 750 is 1

2. Where do I get the detailed procedure to find GCD of 308, 921, 541, 750?

You can find a detailed procedure to find GCD of 308, 921, 541, 750 on our page.

3. How to find GCD of 308, 921, 541, 750 on a calculator?

You can find the GCD of 308, 921, 541, 750 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.