GCD of 976, 391, 434, 702 Calculator

Given Input numbers are 976, 391, 434, 702

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

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 391

List of positive integer divisors of 391 that divides 391 without a remainder.

1, 17, 23, 391

Divisors of 434

List of positive integer divisors of 434 that divides 434 without a remainder.

1, 2, 7, 14, 31, 62, 217, 434

Divisors of 702

List of positive integer divisors of 702 that divides 702 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

Greatest Common Divisior

We found the divisors of 976, 391, 434, 702 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 976, 391, 434, 702 is 1.

Therefore, GCD of numbers 976, 391, 434, 702 is 1

Given Input Data is 976, 391, 434, 702

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

Prime Factorization of 976 is 2 x 2 x 2 x 2 x 61

Prime Factorization of 391 is 17 x 23

Prime Factorization of 434 is 2 x 7 x 31

Prime Factorization of 702 is 2 x 3 x 3 x 3 x 13

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(976, 391) = 381616

GCD(976, 391) = ( 976 x 391 ) / 381616

GCD(976, 391) = 381616 / 381616

GCD(976, 391) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 434

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

LCM(1, 434) = 434

GCD(1, 434) = ( 1 x 434 ) / 434

GCD(1, 434) = 434 / 434

GCD(1, 434) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 702

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

LCM(1, 702) = 702

GCD(1, 702) = ( 1 x 702 ) / 702

GCD(1, 702) = 702 / 702

GCD(1, 702) = 1

GCD of 976, 391, 434, 702 is 1

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1. What is the GCD of 976, 391, 434, 702?

GCD of 976, 391, 434, 702 is 1

2. Where do I get the detailed procedure to find GCD of 976, 391, 434, 702?

You can find a detailed procedure to find GCD of 976, 391, 434, 702 on our page.

3. How to find GCD of 976, 391, 434, 702 on a calculator?

You can find the GCD of 976, 391, 434, 702 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.