GCD of 353, 735, 64, 739 Calculator

Given Input numbers are 353, 735, 64, 739

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

Divisors of 353

List of positive integer divisors of 353 that divides 353 without a remainder.

1, 353

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 64

List of positive integer divisors of 64 that divides 64 without a remainder.

1, 2, 4, 8, 16, 32, 64

Divisors of 739

List of positive integer divisors of 739 that divides 739 without a remainder.

1, 739

Greatest Common Divisior

We found the divisors of 353, 735, 64, 739 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 353, 735, 64, 739 is 1.

Therefore, GCD of numbers 353, 735, 64, 739 is 1

Given Input Data is 353, 735, 64, 739

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

Prime Factorization of 353 is 353

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

Prime Factorization of 64 is 2 x 2 x 2 x 2 x 2 x 2

Prime Factorization of 739 is 739

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(353, 735) = 259455

GCD(353, 735) = ( 353 x 735 ) / 259455

GCD(353, 735) = 259455 / 259455

GCD(353, 735) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 64

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

LCM(1, 64) = 64

GCD(1, 64) = ( 1 x 64 ) / 64

GCD(1, 64) = 64 / 64

GCD(1, 64) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 739

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

LCM(1, 739) = 739

GCD(1, 739) = ( 1 x 739 ) / 739

GCD(1, 739) = 739 / 739

GCD(1, 739) = 1

GCD of 353, 735, 64, 739 is 1

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1. What is the GCD of 353, 735, 64, 739?

GCD of 353, 735, 64, 739 is 1

2. Where do I get the detailed procedure to find GCD of 353, 735, 64, 739?

You can find a detailed procedure to find GCD of 353, 735, 64, 739 on our page.

3. How to find GCD of 353, 735, 64, 739 on a calculator?

You can find the GCD of 353, 735, 64, 739 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.