GCD of 940, 738, 705 Calculator

Given Input numbers are 940, 738, 705

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

Divisors of 940

List of positive integer divisors of 940 that divides 940 without a remainder.

1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940

Divisors of 738

List of positive integer divisors of 738 that divides 738 without a remainder.

1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

Divisors of 705

List of positive integer divisors of 705 that divides 705 without a remainder.

1, 3, 5, 15, 47, 141, 235, 705

Greatest Common Divisior

We found the divisors of 940, 738, 705 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 940, 738, 705 is 1.

Therefore, GCD of numbers 940, 738, 705 is 1

Given Input Data is 940, 738, 705

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

Prime Factorization of 940 is 2 x 2 x 5 x 47

Prime Factorization of 738 is 2 x 3 x 3 x 41

Prime Factorization of 705 is 3 x 5 x 47

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(940, 738) = 346860

GCD(940, 738) = ( 940 x 738 ) / 346860

GCD(940, 738) = 693720 / 346860

GCD(940, 738) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 705

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

LCM(2, 705) = 1410

GCD(2, 705) = ( 2 x 705 ) / 1410

GCD(2, 705) = 1410 / 1410

GCD(2, 705) = 1

GCD of 940, 738, 705 is 1

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1. What is the GCD of 940, 738, 705?

GCD of 940, 738, 705 is 1

2. Where do I get the detailed procedure to find GCD of 940, 738, 705?

You can find a detailed procedure to find GCD of 940, 738, 705 on our page.

3. How to find GCD of 940, 738, 705 on a calculator?

You can find the GCD of 940, 738, 705 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.