GCD of 740, 738, 354 Calculator

Given Input numbers are 740, 738, 354

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

Divisors of 740

List of positive integer divisors of 740 that divides 740 without a remainder.

1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740

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 354

List of positive integer divisors of 354 that divides 354 without a remainder.

1, 2, 3, 6, 59, 118, 177, 354

Greatest Common Divisior

We found the divisors of 740, 738, 354 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 740, 738, 354 is 2.

Therefore, GCD of numbers 740, 738, 354 is 2

Given Input Data is 740, 738, 354

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

Prime Factorization of 740 is 2 x 2 x 5 x 37

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

Prime Factorization of 354 is 2 x 3 x 59

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(740, 738) = 273060

GCD(740, 738) = ( 740 x 738 ) / 273060

GCD(740, 738) = 546120 / 273060

GCD(740, 738) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 354

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

LCM(2, 354) = 354

GCD(2, 354) = ( 2 x 354 ) / 354

GCD(2, 354) = 708 / 354

GCD(2, 354) = 2

GCD of 740, 738, 354 is 2

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• GCD of 891, 801, 816
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1. What is the GCD of 740, 738, 354?

GCD of 740, 738, 354 is 2

2. Where do I get the detailed procedure to find GCD of 740, 738, 354?

You can find a detailed procedure to find GCD of 740, 738, 354 on our page.

3. How to find GCD of 740, 738, 354 on a calculator?

You can find the GCD of 740, 738, 354 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.