GCD of 920, 376, 93, 175 Calculator

Given Input numbers are 920, 376, 93, 175

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

Divisors of 920

List of positive integer divisors of 920 that divides 920 without a remainder.

1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

Divisors of 376

List of positive integer divisors of 376 that divides 376 without a remainder.

1, 2, 4, 8, 47, 94, 188, 376

Divisors of 93

List of positive integer divisors of 93 that divides 93 without a remainder.

1, 3, 31, 93

Divisors of 175

List of positive integer divisors of 175 that divides 175 without a remainder.

1, 5, 7, 25, 35, 175

Greatest Common Divisior

We found the divisors of 920, 376, 93, 175 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 920, 376, 93, 175 is 1.

Therefore, GCD of numbers 920, 376, 93, 175 is 1

Given Input Data is 920, 376, 93, 175

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

Prime Factorization of 920 is 2 x 2 x 2 x 5 x 23

Prime Factorization of 376 is 2 x 2 x 2 x 47

Prime Factorization of 93 is 3 x 31

Prime Factorization of 175 is 5 x 5 x 7

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(920, 376) = 43240

GCD(920, 376) = ( 920 x 376 ) / 43240

GCD(920, 376) = 345920 / 43240

GCD(920, 376) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 93

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

LCM(8, 93) = 744

GCD(8, 93) = ( 8 x 93 ) / 744

GCD(8, 93) = 744 / 744

GCD(8, 93) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 175

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

LCM(1, 175) = 175

GCD(1, 175) = ( 1 x 175 ) / 175

GCD(1, 175) = 175 / 175

GCD(1, 175) = 1

GCD of 920, 376, 93, 175 is 1

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1. What is the GCD of 920, 376, 93, 175?

GCD of 920, 376, 93, 175 is 1

2. Where do I get the detailed procedure to find GCD of 920, 376, 93, 175?

You can find a detailed procedure to find GCD of 920, 376, 93, 175 on our page.

3. How to find GCD of 920, 376, 93, 175 on a calculator?

You can find the GCD of 920, 376, 93, 175 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.