GCD of 740, 912, 675, 364 Calculator

Given Input numbers are 740, 912, 675, 364

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 912

List of positive integer divisors of 912 that divides 912 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912

Divisors of 675

List of positive integer divisors of 675 that divides 675 without a remainder.

1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675

Divisors of 364

List of positive integer divisors of 364 that divides 364 without a remainder.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

Greatest Common Divisior

We found the divisors of 740, 912, 675, 364 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 740, 912, 675, 364 is 1.

Therefore, GCD of numbers 740, 912, 675, 364 is 1

Given Input Data is 740, 912, 675, 364

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 912 is 2 x 2 x 2 x 2 x 3 x 19

Prime Factorization of 675 is 3 x 3 x 3 x 5 x 5

Prime Factorization of 364 is 2 x 2 x 7 x 13

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, 912) = 168720

GCD(740, 912) = ( 740 x 912 ) / 168720

GCD(740, 912) = 674880 / 168720

GCD(740, 912) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 675

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

LCM(4, 675) = 2700

GCD(4, 675) = ( 4 x 675 ) / 2700

GCD(4, 675) = 2700 / 2700

GCD(4, 675) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 364

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

LCM(1, 364) = 364

GCD(1, 364) = ( 1 x 364 ) / 364

GCD(1, 364) = 364 / 364

GCD(1, 364) = 1

GCD of 740, 912, 675, 364 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 685, 826, 549, 933
• GCD of 363, 536, 348, 227
• GCD of 719, 256, 928, 220
• GCD of 310, 868, 149, 544
• GCD of 375, 538, 568, 783

1. What is the GCD of 740, 912, 675, 364?

GCD of 740, 912, 675, 364 is 1

2. Where do I get the detailed procedure to find GCD of 740, 912, 675, 364?

You can find a detailed procedure to find GCD of 740, 912, 675, 364 on our page.

3. How to find GCD of 740, 912, 675, 364 on a calculator?

You can find the GCD of 740, 912, 675, 364 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.