GCD of 292, 754, 376, 821 Calculator

Given Input numbers are 292, 754, 376, 821

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

Divisors of 292

List of positive integer divisors of 292 that divides 292 without a remainder.

1, 2, 4, 73, 146, 292

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 376

List of positive integer divisors of 376 that divides 376 without a remainder.

1, 2, 4, 8, 47, 94, 188, 376

Divisors of 821

List of positive integer divisors of 821 that divides 821 without a remainder.

1, 821

Greatest Common Divisior

We found the divisors of 292, 754, 376, 821 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 292, 754, 376, 821 is 1.

Therefore, GCD of numbers 292, 754, 376, 821 is 1

Given Input Data is 292, 754, 376, 821

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

Prime Factorization of 292 is 2 x 2 x 73

Prime Factorization of 754 is 2 x 13 x 29

Prime Factorization of 376 is 2 x 2 x 2 x 47

Prime Factorization of 821 is 821

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(292, 754) = 110084

GCD(292, 754) = ( 292 x 754 ) / 110084

GCD(292, 754) = 220168 / 110084

GCD(292, 754) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 376

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

LCM(2, 376) = 376

GCD(2, 376) = ( 2 x 376 ) / 376

GCD(2, 376) = 752 / 376

GCD(2, 376) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 821

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

LCM(2, 821) = 1642

GCD(2, 821) = ( 2 x 821 ) / 1642

GCD(2, 821) = 1642 / 1642

GCD(2, 821) = 1

GCD of 292, 754, 376, 821 is 1

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1. What is the GCD of 292, 754, 376, 821?

GCD of 292, 754, 376, 821 is 1

2. Where do I get the detailed procedure to find GCD of 292, 754, 376, 821?

You can find a detailed procedure to find GCD of 292, 754, 376, 821 on our page.

3. How to find GCD of 292, 754, 376, 821 on a calculator?

You can find the GCD of 292, 754, 376, 821 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.