GCD of 435, 678, 742 Calculator

Given Input numbers are 435, 678, 742

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

Divisors of 435

List of positive integer divisors of 435 that divides 435 without a remainder.

1, 3, 5, 15, 29, 87, 145, 435

Divisors of 678

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

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

Divisors of 742

List of positive integer divisors of 742 that divides 742 without a remainder.

1, 2, 7, 14, 53, 106, 371, 742

Greatest Common Divisior

We found the divisors of 435, 678, 742 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 435, 678, 742 is 1.

Therefore, GCD of numbers 435, 678, 742 is 1

Given Input Data is 435, 678, 742

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

Prime Factorization of 435 is 3 x 5 x 29

Prime Factorization of 678 is 2 x 3 x 113

Prime Factorization of 742 is 2 x 7 x 53

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(435, 678) = 98310

GCD(435, 678) = ( 435 x 678 ) / 98310

GCD(435, 678) = 294930 / 98310

GCD(435, 678) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 742

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

LCM(3, 742) = 2226

GCD(3, 742) = ( 3 x 742 ) / 2226

GCD(3, 742) = 2226 / 2226

GCD(3, 742) = 1

GCD of 435, 678, 742 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 405, 726, 534
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• GCD of 145, 469, 121

1. What is the GCD of 435, 678, 742?

GCD of 435, 678, 742 is 1

2. Where do I get the detailed procedure to find GCD of 435, 678, 742?

You can find a detailed procedure to find GCD of 435, 678, 742 on our page.

3. How to find GCD of 435, 678, 742 on a calculator?

You can find the GCD of 435, 678, 742 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.