GCD of 735, 707, 331, 496 Calculator

Given Input numbers are 735, 707, 331, 496

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 707

List of positive integer divisors of 707 that divides 707 without a remainder.

1, 7, 101, 707

Divisors of 331

List of positive integer divisors of 331 that divides 331 without a remainder.

1, 331

Divisors of 496

List of positive integer divisors of 496 that divides 496 without a remainder.

1, 2, 4, 8, 16, 31, 62, 124, 248, 496

Greatest Common Divisior

We found the divisors of 735, 707, 331, 496 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 735, 707, 331, 496 is 1.

Therefore, GCD of numbers 735, 707, 331, 496 is 1

Given Input Data is 735, 707, 331, 496

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 707 is 7 x 101

Prime Factorization of 331 is 331

Prime Factorization of 496 is 2 x 2 x 2 x 2 x 31

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, 707) = 74235

GCD(735, 707) = ( 735 x 707 ) / 74235

GCD(735, 707) = 519645 / 74235

GCD(735, 707) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 331

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

LCM(7, 331) = 2317

GCD(7, 331) = ( 7 x 331 ) / 2317

GCD(7, 331) = 2317 / 2317

GCD(7, 331) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 496

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

LCM(1, 496) = 496

GCD(1, 496) = ( 1 x 496 ) / 496

GCD(1, 496) = 496 / 496

GCD(1, 496) = 1

GCD of 735, 707, 331, 496 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 613, 214, 481, 384
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• GCD of 836, 603, 740, 974
• GCD of 386, 962, 804, 209

1. What is the GCD of 735, 707, 331, 496?

GCD of 735, 707, 331, 496 is 1

2. Where do I get the detailed procedure to find GCD of 735, 707, 331, 496?

You can find a detailed procedure to find GCD of 735, 707, 331, 496 on our page.

3. How to find GCD of 735, 707, 331, 496 on a calculator?

You can find the GCD of 735, 707, 331, 496 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.