GCD of 735, 782, 438, 374 Calculator

Given Input numbers are 735, 782, 438, 374

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 782

List of positive integer divisors of 782 that divides 782 without a remainder.

1, 2, 17, 23, 34, 46, 391, 782

Divisors of 438

List of positive integer divisors of 438 that divides 438 without a remainder.

1, 2, 3, 6, 73, 146, 219, 438

Divisors of 374

List of positive integer divisors of 374 that divides 374 without a remainder.

1, 2, 11, 17, 22, 34, 187, 374

Greatest Common Divisior

We found the divisors of 735, 782, 438, 374 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 735, 782, 438, 374 is 1.

Therefore, GCD of numbers 735, 782, 438, 374 is 1

Given Input Data is 735, 782, 438, 374

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 782 is 2 x 17 x 23

Prime Factorization of 438 is 2 x 3 x 73

Prime Factorization of 374 is 2 x 11 x 17

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, 782) = 574770

GCD(735, 782) = ( 735 x 782 ) / 574770

GCD(735, 782) = 574770 / 574770

GCD(735, 782) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 438

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

LCM(1, 438) = 438

GCD(1, 438) = ( 1 x 438 ) / 438

GCD(1, 438) = 438 / 438

GCD(1, 438) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 374

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

LCM(1, 374) = 374

GCD(1, 374) = ( 1 x 374 ) / 374

GCD(1, 374) = 374 / 374

GCD(1, 374) = 1

GCD of 735, 782, 438, 374 is 1

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1. What is the GCD of 735, 782, 438, 374?

GCD of 735, 782, 438, 374 is 1

2. Where do I get the detailed procedure to find GCD of 735, 782, 438, 374?

You can find a detailed procedure to find GCD of 735, 782, 438, 374 on our page.

3. How to find GCD of 735, 782, 438, 374 on a calculator?

You can find the GCD of 735, 782, 438, 374 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.