GCD of 45, 632, 261, 200 Calculator

Given Input numbers are 45, 632, 261, 200

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

Divisors of 45

List of positive integer divisors of 45 that divides 45 without a remainder.

1, 3, 5, 9, 15, 45

Divisors of 632

List of positive integer divisors of 632 that divides 632 without a remainder.

1, 2, 4, 8, 79, 158, 316, 632

Divisors of 261

List of positive integer divisors of 261 that divides 261 without a remainder.

1, 3, 9, 29, 87, 261

Divisors of 200

List of positive integer divisors of 200 that divides 200 without a remainder.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200

Greatest Common Divisior

We found the divisors of 45, 632, 261, 200 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 45, 632, 261, 200 is 1.

Therefore, GCD of numbers 45, 632, 261, 200 is 1

Given Input Data is 45, 632, 261, 200

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

Prime Factorization of 45 is 3 x 3 x 5

Prime Factorization of 632 is 2 x 2 x 2 x 79

Prime Factorization of 261 is 3 x 3 x 29

Prime Factorization of 200 is 2 x 2 x 2 x 5 x 5

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(45, 632) = 28440

GCD(45, 632) = ( 45 x 632 ) / 28440

GCD(45, 632) = 28440 / 28440

GCD(45, 632) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 261

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

LCM(1, 261) = 261

GCD(1, 261) = ( 1 x 261 ) / 261

GCD(1, 261) = 261 / 261

GCD(1, 261) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 200

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

LCM(1, 200) = 200

GCD(1, 200) = ( 1 x 200 ) / 200

GCD(1, 200) = 200 / 200

GCD(1, 200) = 1

GCD of 45, 632, 261, 200 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 81, 509, 336, 124
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• GCD of 41, 590, 199, 989
• GCD of 34, 999, 222, 849

1. What is the GCD of 45, 632, 261, 200?

GCD of 45, 632, 261, 200 is 1

2. Where do I get the detailed procedure to find GCD of 45, 632, 261, 200?

You can find a detailed procedure to find GCD of 45, 632, 261, 200 on our page.

3. How to find GCD of 45, 632, 261, 200 on a calculator?

You can find the GCD of 45, 632, 261, 200 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.