GCD of 205, 175, 974, 132 Calculator

Given Input numbers are 205, 175, 974, 132

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

Divisors of 205

List of positive integer divisors of 205 that divides 205 without a remainder.

1, 5, 41, 205

Divisors of 175

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

1, 5, 7, 25, 35, 175

Divisors of 974

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

1, 2, 487, 974

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

Greatest Common Divisior

We found the divisors of 205, 175, 974, 132 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 205, 175, 974, 132 is 1.

Therefore, GCD of numbers 205, 175, 974, 132 is 1

Given Input Data is 205, 175, 974, 132

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

Prime Factorization of 205 is 5 x 41

Prime Factorization of 175 is 5 x 5 x 7

Prime Factorization of 974 is 2 x 487

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

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(205, 175) = 7175

GCD(205, 175) = ( 205 x 175 ) / 7175

GCD(205, 175) = 35875 / 7175

GCD(205, 175) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 974

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

LCM(5, 974) = 4870

GCD(5, 974) = ( 5 x 974 ) / 4870

GCD(5, 974) = 4870 / 4870

GCD(5, 974) = 1

Step3:

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

GCD of 205, 175, 974, 132 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 389, 801, 703, 384
• GCD of 312, 143, 677, 497
• GCD of 905, 803, 335, 849
• GCD of 771, 757, 406, 541
• GCD of 840, 335, 203, 216

1. What is the GCD of 205, 175, 974, 132?

GCD of 205, 175, 974, 132 is 1

2. Where do I get the detailed procedure to find GCD of 205, 175, 974, 132?

You can find a detailed procedure to find GCD of 205, 175, 974, 132 on our page.

3. How to find GCD of 205, 175, 974, 132 on a calculator?

You can find the GCD of 205, 175, 974, 132 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.