GCD of 740, 309, 661, 745 Calculator

Given Input numbers are 740, 309, 661, 745

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 309

List of positive integer divisors of 309 that divides 309 without a remainder.

1, 3, 103, 309

Divisors of 661

List of positive integer divisors of 661 that divides 661 without a remainder.

1, 661

Divisors of 745

List of positive integer divisors of 745 that divides 745 without a remainder.

1, 5, 149, 745

Greatest Common Divisior

We found the divisors of 740, 309, 661, 745 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 740, 309, 661, 745 is 1.

Therefore, GCD of numbers 740, 309, 661, 745 is 1

Given Input Data is 740, 309, 661, 745

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 309 is 3 x 103

Prime Factorization of 661 is 661

Prime Factorization of 745 is 5 x 149

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, 309) = 228660

GCD(740, 309) = ( 740 x 309 ) / 228660

GCD(740, 309) = 228660 / 228660

GCD(740, 309) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 661

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

LCM(1, 661) = 661

GCD(1, 661) = ( 1 x 661 ) / 661

GCD(1, 661) = 661 / 661

GCD(1, 661) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 745

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

LCM(1, 745) = 745

GCD(1, 745) = ( 1 x 745 ) / 745

GCD(1, 745) = 745 / 745

GCD(1, 745) = 1

GCD of 740, 309, 661, 745 is 1

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1. What is the GCD of 740, 309, 661, 745?

GCD of 740, 309, 661, 745 is 1

2. Where do I get the detailed procedure to find GCD of 740, 309, 661, 745?

You can find a detailed procedure to find GCD of 740, 309, 661, 745 on our page.

3. How to find GCD of 740, 309, 661, 745 on a calculator?

You can find the GCD of 740, 309, 661, 745 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.