GCD of 102, 132, 67, 875 Calculator

Given Input numbers are 102, 132, 67, 875

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

Divisors of 102

List of positive integer divisors of 102 that divides 102 without a remainder.

1, 2, 3, 6, 17, 34, 51, 102

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 67

List of positive integer divisors of 67 that divides 67 without a remainder.

1, 67

Divisors of 875

List of positive integer divisors of 875 that divides 875 without a remainder.

1, 5, 7, 25, 35, 125, 175, 875

Greatest Common Divisior

We found the divisors of 102, 132, 67, 875 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 102, 132, 67, 875 is 1.

Therefore, GCD of numbers 102, 132, 67, 875 is 1

Given Input Data is 102, 132, 67, 875

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

Prime Factorization of 102 is 2 x 3 x 17

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

Prime Factorization of 67 is 67

Prime Factorization of 875 is 5 x 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(102, 132) = 2244

GCD(102, 132) = ( 102 x 132 ) / 2244

GCD(102, 132) = 13464 / 2244

GCD(102, 132) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 67

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

LCM(6, 67) = 402

GCD(6, 67) = ( 6 x 67 ) / 402

GCD(6, 67) = 402 / 402

GCD(6, 67) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 875

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

LCM(1, 875) = 875

GCD(1, 875) = ( 1 x 875 ) / 875

GCD(1, 875) = 875 / 875

GCD(1, 875) = 1

GCD of 102, 132, 67, 875 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 678, 879, 96, 950
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• GCD of 367, 108, 27, 409
• GCD of 535, 375, 99, 963
• GCD of 861, 671, 29, 425

1. What is the GCD of 102, 132, 67, 875?

GCD of 102, 132, 67, 875 is 1

2. Where do I get the detailed procedure to find GCD of 102, 132, 67, 875?

You can find a detailed procedure to find GCD of 102, 132, 67, 875 on our page.

3. How to find GCD of 102, 132, 67, 875 on a calculator?

You can find the GCD of 102, 132, 67, 875 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.