GCD of 735, 234, 400, 771 Calculator

Given Input numbers are 735, 234, 400, 771

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

Divisors of 735

List of positive integer divisors of 735 that divides 735 without a remainder.

1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

Divisors of 234

List of positive integer divisors of 234 that divides 234 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234

Divisors of 400

List of positive integer divisors of 400 that divides 400 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

Divisors of 771

List of positive integer divisors of 771 that divides 771 without a remainder.

1, 3, 257, 771

Greatest Common Divisior

We found the divisors of 735, 234, 400, 771 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 735, 234, 400, 771 is 1.

Therefore, GCD of numbers 735, 234, 400, 771 is 1

Given Input Data is 735, 234, 400, 771

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

Prime Factorization of 735 is 3 x 5 x 7 x 7

Prime Factorization of 234 is 2 x 3 x 3 x 13

Prime Factorization of 400 is 2 x 2 x 2 x 2 x 5 x 5

Prime Factorization of 771 is 3 x 257

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(735, 234) = 57330

GCD(735, 234) = ( 735 x 234 ) / 57330

GCD(735, 234) = 171990 / 57330

GCD(735, 234) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 400

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

LCM(3, 400) = 1200

GCD(3, 400) = ( 3 x 400 ) / 1200

GCD(3, 400) = 1200 / 1200

GCD(3, 400) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 771

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

LCM(1, 771) = 771

GCD(1, 771) = ( 1 x 771 ) / 771

GCD(1, 771) = 771 / 771

GCD(1, 771) = 1

GCD of 735, 234, 400, 771 is 1

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1. What is the GCD of 735, 234, 400, 771?

GCD of 735, 234, 400, 771 is 1

2. Where do I get the detailed procedure to find GCD of 735, 234, 400, 771?

You can find a detailed procedure to find GCD of 735, 234, 400, 771 on our page.

3. How to find GCD of 735, 234, 400, 771 on a calculator?

You can find the GCD of 735, 234, 400, 771 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.