GCD of 944, 668, 700, 341 Calculator

Given Input numbers are 944, 668, 700, 341

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

Divisors of 944

List of positive integer divisors of 944 that divides 944 without a remainder.

1, 2, 4, 8, 16, 59, 118, 236, 472, 944

Divisors of 668

List of positive integer divisors of 668 that divides 668 without a remainder.

1, 2, 4, 167, 334, 668

Divisors of 700

List of positive integer divisors of 700 that divides 700 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700

Divisors of 341

List of positive integer divisors of 341 that divides 341 without a remainder.

1, 11, 31, 341

Greatest Common Divisior

We found the divisors of 944, 668, 700, 341 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 944, 668, 700, 341 is 1.

Therefore, GCD of numbers 944, 668, 700, 341 is 1

Given Input Data is 944, 668, 700, 341

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

Prime Factorization of 944 is 2 x 2 x 2 x 2 x 59

Prime Factorization of 668 is 2 x 2 x 167

Prime Factorization of 700 is 2 x 2 x 5 x 5 x 7

Prime Factorization of 341 is 11 x 31

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(944, 668) = 157648

GCD(944, 668) = ( 944 x 668 ) / 157648

GCD(944, 668) = 630592 / 157648

GCD(944, 668) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 700

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

LCM(4, 700) = 700

GCD(4, 700) = ( 4 x 700 ) / 700

GCD(4, 700) = 2800 / 700

GCD(4, 700) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 341

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

LCM(4, 341) = 1364

GCD(4, 341) = ( 4 x 341 ) / 1364

GCD(4, 341) = 1364 / 1364

GCD(4, 341) = 1

GCD of 944, 668, 700, 341 is 1

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1. What is the GCD of 944, 668, 700, 341?

GCD of 944, 668, 700, 341 is 1

2. Where do I get the detailed procedure to find GCD of 944, 668, 700, 341?

You can find a detailed procedure to find GCD of 944, 668, 700, 341 on our page.

3. How to find GCD of 944, 668, 700, 341 on a calculator?

You can find the GCD of 944, 668, 700, 341 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.