GCD of 740, 687, 74, 140 Calculator

Given Input numbers are 740, 687, 74, 140

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 687

List of positive integer divisors of 687 that divides 687 without a remainder.

1, 3, 229, 687

Divisors of 74

List of positive integer divisors of 74 that divides 74 without a remainder.

1, 2, 37, 74

Divisors of 140

List of positive integer divisors of 140 that divides 140 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140

Greatest Common Divisior

We found the divisors of 740, 687, 74, 140 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 740, 687, 74, 140 is 1.

Therefore, GCD of numbers 740, 687, 74, 140 is 1

Given Input Data is 740, 687, 74, 140

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 687 is 3 x 229

Prime Factorization of 74 is 2 x 37

Prime Factorization of 140 is 2 x 2 x 5 x 7

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, 687) = 508380

GCD(740, 687) = ( 740 x 687 ) / 508380

GCD(740, 687) = 508380 / 508380

GCD(740, 687) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 74

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

LCM(1, 74) = 74

GCD(1, 74) = ( 1 x 74 ) / 74

GCD(1, 74) = 74 / 74

GCD(1, 74) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 140

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

LCM(1, 140) = 140

GCD(1, 140) = ( 1 x 140 ) / 140

GCD(1, 140) = 140 / 140

GCD(1, 140) = 1

GCD of 740, 687, 74, 140 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 618, 150, 28, 756
• GCD of 129, 300, 13, 965
• GCD of 736, 294, 75, 350
• GCD of 613, 432, 15, 594
• GCD of 528, 953, 70, 497

1. What is the GCD of 740, 687, 74, 140?

GCD of 740, 687, 74, 140 is 1

2. Where do I get the detailed procedure to find GCD of 740, 687, 74, 140?

You can find a detailed procedure to find GCD of 740, 687, 74, 140 on our page.

3. How to find GCD of 740, 687, 74, 140 on a calculator?

You can find the GCD of 740, 687, 74, 140 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.