GCD of 175, 940, 150, 123 Calculator

Given Input numbers are 175, 940, 150, 123

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

Divisors of 175

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

1, 5, 7, 25, 35, 175

Divisors of 940

List of positive integer divisors of 940 that divides 940 without a remainder.

1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940

Divisors of 150

List of positive integer divisors of 150 that divides 150 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150

Divisors of 123

List of positive integer divisors of 123 that divides 123 without a remainder.

1, 3, 41, 123

Greatest Common Divisior

We found the divisors of 175, 940, 150, 123 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 175, 940, 150, 123 is 1.

Therefore, GCD of numbers 175, 940, 150, 123 is 1

Given Input Data is 175, 940, 150, 123

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

Prime Factorization of 175 is 5 x 5 x 7

Prime Factorization of 940 is 2 x 2 x 5 x 47

Prime Factorization of 150 is 2 x 3 x 5 x 5

Prime Factorization of 123 is 3 x 41

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(175, 940) = 32900

GCD(175, 940) = ( 175 x 940 ) / 32900

GCD(175, 940) = 164500 / 32900

GCD(175, 940) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 150

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

LCM(5, 150) = 150

GCD(5, 150) = ( 5 x 150 ) / 150

GCD(5, 150) = 750 / 150

GCD(5, 150) = 5

Step3:

Here we consider the GCD from the above i.e. 5 as first number and the next as 123

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

LCM(5, 123) = 615

GCD(5, 123) = ( 5 x 123 ) / 615

GCD(5, 123) = 615 / 615

GCD(5, 123) = 1

GCD of 175, 940, 150, 123 is 1

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• GCD of 353, 927, 338, 643
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1. What is the GCD of 175, 940, 150, 123?

GCD of 175, 940, 150, 123 is 1

2. Where do I get the detailed procedure to find GCD of 175, 940, 150, 123?

You can find a detailed procedure to find GCD of 175, 940, 150, 123 on our page.

3. How to find GCD of 175, 940, 150, 123 on a calculator?

You can find the GCD of 175, 940, 150, 123 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.