GCD of 974, 975, 43, 344 Calculator

Given Input numbers are 974, 975, 43, 344

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

Divisors of 974

List of positive integer divisors of 974 that divides 974 without a remainder.

1, 2, 487, 974

Divisors of 975

List of positive integer divisors of 975 that divides 975 without a remainder.

1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975

Divisors of 43

List of positive integer divisors of 43 that divides 43 without a remainder.

1, 43

Divisors of 344

List of positive integer divisors of 344 that divides 344 without a remainder.

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

Greatest Common Divisior

We found the divisors of 974, 975, 43, 344 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 974, 975, 43, 344 is 1.

Therefore, GCD of numbers 974, 975, 43, 344 is 1

Given Input Data is 974, 975, 43, 344

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

Prime Factorization of 974 is 2 x 487

Prime Factorization of 975 is 3 x 5 x 5 x 13

Prime Factorization of 43 is 43

Prime Factorization of 344 is 2 x 2 x 2 x 43

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(974, 975) = 949650

GCD(974, 975) = ( 974 x 975 ) / 949650

GCD(974, 975) = 949650 / 949650

GCD(974, 975) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 43

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

LCM(1, 43) = 43

GCD(1, 43) = ( 1 x 43 ) / 43

GCD(1, 43) = 43 / 43

GCD(1, 43) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 344

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

LCM(1, 344) = 344

GCD(1, 344) = ( 1 x 344 ) / 344

GCD(1, 344) = 344 / 344

GCD(1, 344) = 1

GCD of 974, 975, 43, 344 is 1

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1. What is the GCD of 974, 975, 43, 344?

GCD of 974, 975, 43, 344 is 1

2. Where do I get the detailed procedure to find GCD of 974, 975, 43, 344?

You can find a detailed procedure to find GCD of 974, 975, 43, 344 on our page.

3. How to find GCD of 974, 975, 43, 344 on a calculator?

You can find the GCD of 974, 975, 43, 344 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.