GCD of 654, 352, 40, 735 Calculator

Given Input numbers are 654, 352, 40, 735

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

Divisors of 654

List of positive integer divisors of 654 that divides 654 without a remainder.

1, 2, 3, 6, 109, 218, 327, 654

Divisors of 352

List of positive integer divisors of 352 that divides 352 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352

Divisors of 40

List of positive integer divisors of 40 that divides 40 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40

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 654, 352, 40, 735 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 654, 352, 40, 735 is 1.

Therefore, GCD of numbers 654, 352, 40, 735 is 1

Given Input Data is 654, 352, 40, 735

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

Prime Factorization of 654 is 2 x 3 x 109

Prime Factorization of 352 is 2 x 2 x 2 x 2 x 2 x 11

Prime Factorization of 40 is 2 x 2 x 2 x 5

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(654, 352) = 115104

GCD(654, 352) = ( 654 x 352 ) / 115104

GCD(654, 352) = 230208 / 115104

GCD(654, 352) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 40

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

LCM(2, 40) = 40

GCD(2, 40) = ( 2 x 40 ) / 40

GCD(2, 40) = 80 / 40

GCD(2, 40) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 735

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

LCM(2, 735) = 1470

GCD(2, 735) = ( 2 x 735 ) / 1470

GCD(2, 735) = 1470 / 1470

GCD(2, 735) = 1

GCD of 654, 352, 40, 735 is 1

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• GCD of 668, 543, 48, 814
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1. What is the GCD of 654, 352, 40, 735?

GCD of 654, 352, 40, 735 is 1

2. Where do I get the detailed procedure to find GCD of 654, 352, 40, 735?

You can find a detailed procedure to find GCD of 654, 352, 40, 735 on our page.

3. How to find GCD of 654, 352, 40, 735 on a calculator?

You can find the GCD of 654, 352, 40, 735 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.