GCD of 175, 958, 132, 980 Calculator

Given Input numbers are 175, 958, 132, 980

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 958

List of positive integer divisors of 958 that divides 958 without a remainder.

1, 2, 479, 958

Divisors of 132

List of positive integer divisors of 132 that divides 132 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

Divisors of 980

List of positive integer divisors of 980 that divides 980 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980

Greatest Common Divisior

We found the divisors of 175, 958, 132, 980 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 175, 958, 132, 980 is 1.

Therefore, GCD of numbers 175, 958, 132, 980 is 1

Given Input Data is 175, 958, 132, 980

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 958 is 2 x 479

Prime Factorization of 132 is 2 x 2 x 3 x 11

Prime Factorization of 980 is 2 x 2 x 5 x 7 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(175, 958) = 167650

GCD(175, 958) = ( 175 x 958 ) / 167650

GCD(175, 958) = 167650 / 167650

GCD(175, 958) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 132

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

LCM(1, 132) = 132

GCD(1, 132) = ( 1 x 132 ) / 132

GCD(1, 132) = 132 / 132

GCD(1, 132) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 980

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

LCM(1, 980) = 980

GCD(1, 980) = ( 1 x 980 ) / 980

GCD(1, 980) = 980 / 980

GCD(1, 980) = 1

GCD of 175, 958, 132, 980 is 1

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1. What is the GCD of 175, 958, 132, 980?

GCD of 175, 958, 132, 980 is 1

2. Where do I get the detailed procedure to find GCD of 175, 958, 132, 980?

You can find a detailed procedure to find GCD of 175, 958, 132, 980 on our page.

3. How to find GCD of 175, 958, 132, 980 on a calculator?

You can find the GCD of 175, 958, 132, 980 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.