GCD of 740, 718, 56, 635 Calculator

Given Input numbers are 740, 718, 56, 635

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 718

List of positive integer divisors of 718 that divides 718 without a remainder.

1, 2, 359, 718

Divisors of 56

List of positive integer divisors of 56 that divides 56 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56

Divisors of 635

List of positive integer divisors of 635 that divides 635 without a remainder.

1, 5, 127, 635

Greatest Common Divisior

We found the divisors of 740, 718, 56, 635 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 740, 718, 56, 635 is 1.

Therefore, GCD of numbers 740, 718, 56, 635 is 1

Given Input Data is 740, 718, 56, 635

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 718 is 2 x 359

Prime Factorization of 56 is 2 x 2 x 2 x 7

Prime Factorization of 635 is 5 x 127

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(740, 718) = 265660

GCD(740, 718) = ( 740 x 718 ) / 265660

GCD(740, 718) = 531320 / 265660

GCD(740, 718) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 56

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

LCM(2, 56) = 56

GCD(2, 56) = ( 2 x 56 ) / 56

GCD(2, 56) = 112 / 56

GCD(2, 56) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 635

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

LCM(2, 635) = 1270

GCD(2, 635) = ( 2 x 635 ) / 1270

GCD(2, 635) = 1270 / 1270

GCD(2, 635) = 1

GCD of 740, 718, 56, 635 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 632, 635, 54, 526
• GCD of 772, 149, 26, 898
• GCD of 716, 215, 39, 888
• GCD of 568, 905, 83, 427
• GCD of 155, 382, 81, 148

1. What is the GCD of 740, 718, 56, 635?

GCD of 740, 718, 56, 635 is 1

2. Where do I get the detailed procedure to find GCD of 740, 718, 56, 635?

You can find a detailed procedure to find GCD of 740, 718, 56, 635 on our page.

3. How to find GCD of 740, 718, 56, 635 on a calculator?

You can find the GCD of 740, 718, 56, 635 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.