GCD of 945, 281, 87, 200 Calculator

Given Input numbers are 945, 281, 87, 200

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

Divisors of 945

List of positive integer divisors of 945 that divides 945 without a remainder.

1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945

Divisors of 281

List of positive integer divisors of 281 that divides 281 without a remainder.

1, 281

Divisors of 87

List of positive integer divisors of 87 that divides 87 without a remainder.

1, 3, 29, 87

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 945, 281, 87, 200 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 945, 281, 87, 200 is 1.

Therefore, GCD of numbers 945, 281, 87, 200 is 1

Given Input Data is 945, 281, 87, 200

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

Prime Factorization of 945 is 3 x 3 x 3 x 5 x 7

Prime Factorization of 281 is 281

Prime Factorization of 87 is 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(945, 281) = 265545

GCD(945, 281) = ( 945 x 281 ) / 265545

GCD(945, 281) = 265545 / 265545

GCD(945, 281) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 87

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

LCM(1, 87) = 87

GCD(1, 87) = ( 1 x 87 ) / 87

GCD(1, 87) = 87 / 87

GCD(1, 87) = 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 945, 281, 87, 200 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 381, 909, 70, 434
• GCD of 719, 482, 32, 627
• GCD of 504, 880, 25, 863
• GCD of 111, 787, 13, 293
• GCD of 946, 336, 90, 684

1. What is the GCD of 945, 281, 87, 200?

GCD of 945, 281, 87, 200 is 1

2. Where do I get the detailed procedure to find GCD of 945, 281, 87, 200?

You can find a detailed procedure to find GCD of 945, 281, 87, 200 on our page.

3. How to find GCD of 945, 281, 87, 200 on a calculator?

You can find the GCD of 945, 281, 87, 200 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.