GCD of 675, 870, 201, 121 Calculator

Given Input numbers are 675, 870, 201, 121

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

Divisors of 675

List of positive integer divisors of 675 that divides 675 without a remainder.

1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675

Divisors of 870

List of positive integer divisors of 870 that divides 870 without a remainder.

1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870

Divisors of 201

List of positive integer divisors of 201 that divides 201 without a remainder.

1, 3, 67, 201

Divisors of 121

List of positive integer divisors of 121 that divides 121 without a remainder.

1, 11, 121

Greatest Common Divisior

We found the divisors of 675, 870, 201, 121 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 675, 870, 201, 121 is 1.

Therefore, GCD of numbers 675, 870, 201, 121 is 1

Given Input Data is 675, 870, 201, 121

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

Prime Factorization of 675 is 3 x 3 x 3 x 5 x 5

Prime Factorization of 870 is 2 x 3 x 5 x 29

Prime Factorization of 201 is 3 x 67

Prime Factorization of 121 is 11 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(675, 870) = 39150

GCD(675, 870) = ( 675 x 870 ) / 39150

GCD(675, 870) = 587250 / 39150

GCD(675, 870) = 15

Step2:

Here we consider the GCD from the above i.e. 15 as first number and the next as 201

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

LCM(15, 201) = 1005

GCD(15, 201) = ( 15 x 201 ) / 1005

GCD(15, 201) = 3015 / 1005

GCD(15, 201) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 121

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

LCM(3, 121) = 363

GCD(3, 121) = ( 3 x 121 ) / 363

GCD(3, 121) = 363 / 363

GCD(3, 121) = 1

GCD of 675, 870, 201, 121 is 1

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• GCD of 168, 881, 719, 458
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• GCD of 480, 836, 964, 882

1. What is the GCD of 675, 870, 201, 121?

GCD of 675, 870, 201, 121 is 1

2. Where do I get the detailed procedure to find GCD of 675, 870, 201, 121?

You can find a detailed procedure to find GCD of 675, 870, 201, 121 on our page.

3. How to find GCD of 675, 870, 201, 121 on a calculator?

You can find the GCD of 675, 870, 201, 121 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.