GCD of 292, 976, 847, 734 Calculator

Given Input numbers are 292, 976, 847, 734

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 976

List of positive integer divisors of 976 that divides 976 without a remainder.

1, 2, 4, 8, 16, 61, 122, 244, 488, 976

Divisors of 847

List of positive integer divisors of 847 that divides 847 without a remainder.

1, 7, 11, 77, 121, 847

Divisors of 734

List of positive integer divisors of 734 that divides 734 without a remainder.

1, 2, 367, 734

Greatest Common Divisior

We found the divisors of 292, 976, 847, 734 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 292, 976, 847, 734 is 1.

Therefore, GCD of numbers 292, 976, 847, 734 is 1

Given Input Data is 292, 976, 847, 734

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 976 is 2 x 2 x 2 x 2 x 61

Prime Factorization of 847 is 7 x 11 x 11

Prime Factorization of 734 is 2 x 367

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, 976) = 71248

GCD(292, 976) = ( 292 x 976 ) / 71248

GCD(292, 976) = 284992 / 71248

GCD(292, 976) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 847

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

LCM(4, 847) = 3388

GCD(4, 847) = ( 4 x 847 ) / 3388

GCD(4, 847) = 3388 / 3388

GCD(4, 847) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 734

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

LCM(1, 734) = 734

GCD(1, 734) = ( 1 x 734 ) / 734

GCD(1, 734) = 734 / 734

GCD(1, 734) = 1

GCD of 292, 976, 847, 734 is 1

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1. What is the GCD of 292, 976, 847, 734?

GCD of 292, 976, 847, 734 is 1

2. Where do I get the detailed procedure to find GCD of 292, 976, 847, 734?

You can find a detailed procedure to find GCD of 292, 976, 847, 734 on our page.

3. How to find GCD of 292, 976, 847, 734 on a calculator?

You can find the GCD of 292, 976, 847, 734 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.