GCD of 740, 268, 39, 280 Calculator

Given Input numbers are 740, 268, 39, 280

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 268

List of positive integer divisors of 268 that divides 268 without a remainder.

1, 2, 4, 67, 134, 268

Divisors of 39

List of positive integer divisors of 39 that divides 39 without a remainder.

1, 3, 13, 39

Divisors of 280

List of positive integer divisors of 280 that divides 280 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280

Greatest Common Divisior

We found the divisors of 740, 268, 39, 280 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 740, 268, 39, 280 is 1.

Therefore, GCD of numbers 740, 268, 39, 280 is 1

Given Input Data is 740, 268, 39, 280

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 268 is 2 x 2 x 67

Prime Factorization of 39 is 3 x 13

Prime Factorization of 280 is 2 x 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, 268) = 49580

GCD(740, 268) = ( 740 x 268 ) / 49580

GCD(740, 268) = 198320 / 49580

GCD(740, 268) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 39

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

LCM(4, 39) = 156

GCD(4, 39) = ( 4 x 39 ) / 156

GCD(4, 39) = 156 / 156

GCD(4, 39) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 280

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

LCM(1, 280) = 280

GCD(1, 280) = ( 1 x 280 ) / 280

GCD(1, 280) = 280 / 280

GCD(1, 280) = 1

GCD of 740, 268, 39, 280 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 449, 174, 25, 916
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• GCD of 606, 275, 46, 296
• GCD of 991, 893, 58, 743
• GCD of 650, 933, 54, 553

1. What is the GCD of 740, 268, 39, 280?

GCD of 740, 268, 39, 280 is 1

2. Where do I get the detailed procedure to find GCD of 740, 268, 39, 280?

You can find a detailed procedure to find GCD of 740, 268, 39, 280 on our page.

3. How to find GCD of 740, 268, 39, 280 on a calculator?

You can find the GCD of 740, 268, 39, 280 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.