GCD of 763, 735, 18, 678 Calculator

Given Input numbers are 763, 735, 18, 678

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

Divisors of 763

List of positive integer divisors of 763 that divides 763 without a remainder.

1, 7, 109, 763

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 18

List of positive integer divisors of 18 that divides 18 without a remainder.

1, 2, 3, 6, 9, 18

Divisors of 678

List of positive integer divisors of 678 that divides 678 without a remainder.

1, 2, 3, 6, 113, 226, 339, 678

Greatest Common Divisior

We found the divisors of 763, 735, 18, 678 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 763, 735, 18, 678 is 1.

Therefore, GCD of numbers 763, 735, 18, 678 is 1

Given Input Data is 763, 735, 18, 678

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

Prime Factorization of 763 is 7 x 109

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

Prime Factorization of 18 is 2 x 3 x 3

Prime Factorization of 678 is 2 x 3 x 113

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(763, 735) = 80115

GCD(763, 735) = ( 763 x 735 ) / 80115

GCD(763, 735) = 560805 / 80115

GCD(763, 735) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 18

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

LCM(7, 18) = 126

GCD(7, 18) = ( 7 x 18 ) / 126

GCD(7, 18) = 126 / 126

GCD(7, 18) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 678

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

LCM(1, 678) = 678

GCD(1, 678) = ( 1 x 678 ) / 678

GCD(1, 678) = 678 / 678

GCD(1, 678) = 1

GCD of 763, 735, 18, 678 is 1

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• GCD of 339, 163, 19, 540
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1. What is the GCD of 763, 735, 18, 678?

GCD of 763, 735, 18, 678 is 1

2. Where do I get the detailed procedure to find GCD of 763, 735, 18, 678?

You can find a detailed procedure to find GCD of 763, 735, 18, 678 on our page.

3. How to find GCD of 763, 735, 18, 678 on a calculator?

You can find the GCD of 763, 735, 18, 678 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.