GCD of 464, 203, 87, 735 Calculator

Given Input numbers are 464, 203, 87, 735

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

Divisors of 464

List of positive integer divisors of 464 that divides 464 without a remainder.

1, 2, 4, 8, 16, 29, 58, 116, 232, 464

Divisors of 203

List of positive integer divisors of 203 that divides 203 without a remainder.

1, 7, 29, 203

Divisors of 87

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

1, 3, 29, 87

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

Greatest Common Divisior

We found the divisors of 464, 203, 87, 735 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 464, 203, 87, 735 is 1.

Therefore, GCD of numbers 464, 203, 87, 735 is 1

Given Input Data is 464, 203, 87, 735

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

Prime Factorization of 464 is 2 x 2 x 2 x 2 x 29

Prime Factorization of 203 is 7 x 29

Prime Factorization of 87 is 3 x 29

Prime Factorization of 735 is 3 x 5 x 7 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(464, 203) = 3248

GCD(464, 203) = ( 464 x 203 ) / 3248

GCD(464, 203) = 94192 / 3248

GCD(464, 203) = 29

Step2:

Here we consider the GCD from the above i.e. 29 as first number and the next as 87

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

LCM(29, 87) = 87

GCD(29, 87) = ( 29 x 87 ) / 87

GCD(29, 87) = 2523 / 87

GCD(29, 87) = 29

Step3:

Here we consider the GCD from the above i.e. 29 as first number and the next as 735

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

LCM(29, 735) = 21315

GCD(29, 735) = ( 29 x 735 ) / 21315

GCD(29, 735) = 21315 / 21315

GCD(29, 735) = 1

GCD of 464, 203, 87, 735 is 1

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1. What is the GCD of 464, 203, 87, 735?

GCD of 464, 203, 87, 735 is 1

2. Where do I get the detailed procedure to find GCD of 464, 203, 87, 735?

You can find a detailed procedure to find GCD of 464, 203, 87, 735 on our page.

3. How to find GCD of 464, 203, 87, 735 on a calculator?

You can find the GCD of 464, 203, 87, 735 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.