GCD of 976, 343, 688, 375 Calculator

Given Input numbers are 976, 343, 688, 375

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 343

List of positive integer divisors of 343 that divides 343 without a remainder.

1, 7, 49, 343

Divisors of 688

List of positive integer divisors of 688 that divides 688 without a remainder.

1, 2, 4, 8, 16, 43, 86, 172, 344, 688

Divisors of 375

List of positive integer divisors of 375 that divides 375 without a remainder.

1, 3, 5, 15, 25, 75, 125, 375

Greatest Common Divisior

We found the divisors of 976, 343, 688, 375 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 976, 343, 688, 375 is 1.

Therefore, GCD of numbers 976, 343, 688, 375 is 1

Given Input Data is 976, 343, 688, 375

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 343 is 7 x 7 x 7

Prime Factorization of 688 is 2 x 2 x 2 x 2 x 43

Prime Factorization of 375 is 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(976, 343) = 334768

GCD(976, 343) = ( 976 x 343 ) / 334768

GCD(976, 343) = 334768 / 334768

GCD(976, 343) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 688

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

LCM(1, 688) = 688

GCD(1, 688) = ( 1 x 688 ) / 688

GCD(1, 688) = 688 / 688

GCD(1, 688) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 375

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

LCM(1, 375) = 375

GCD(1, 375) = ( 1 x 375 ) / 375

GCD(1, 375) = 375 / 375

GCD(1, 375) = 1

GCD of 976, 343, 688, 375 is 1

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1. What is the GCD of 976, 343, 688, 375?

GCD of 976, 343, 688, 375 is 1

2. Where do I get the detailed procedure to find GCD of 976, 343, 688, 375?

You can find a detailed procedure to find GCD of 976, 343, 688, 375 on our page.

3. How to find GCD of 976, 343, 688, 375 on a calculator?

You can find the GCD of 976, 343, 688, 375 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.