GCD of 712, 740, 366, 965 Calculator

Given Input numbers are 712, 740, 366, 965

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 712

List of positive integer divisors of 712 that divides 712 without a remainder.

1, 2, 4, 8, 89, 178, 356, 712

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 366

List of positive integer divisors of 366 that divides 366 without a remainder.

1, 2, 3, 6, 61, 122, 183, 366

Divisors of 965

List of positive integer divisors of 965 that divides 965 without a remainder.

1, 5, 193, 965

Greatest Common Divisior

We found the divisors of 712, 740, 366, 965 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 712, 740, 366, 965 is 1.

Therefore, GCD of numbers 712, 740, 366, 965 is 1

Given Input Data is 712, 740, 366, 965

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 712 is 2 x 2 x 2 x 89

Prime Factorization of 740 is 2 x 2 x 5 x 37

Prime Factorization of 366 is 2 x 3 x 61

Prime Factorization of 965 is 5 x 193

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(712, 740) = 131720

GCD(712, 740) = ( 712 x 740 ) / 131720

GCD(712, 740) = 526880 / 131720

GCD(712, 740) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 366

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

LCM(4, 366) = 732

GCD(4, 366) = ( 4 x 366 ) / 732

GCD(4, 366) = 1464 / 732

GCD(4, 366) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 965

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

LCM(2, 965) = 1930

GCD(2, 965) = ( 2 x 965 ) / 1930

GCD(2, 965) = 1930 / 1930

GCD(2, 965) = 1

GCD of 712, 740, 366, 965 is 1

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1. What is the GCD of 712, 740, 366, 965?

GCD of 712, 740, 366, 965 is 1

2. Where do I get the detailed procedure to find GCD of 712, 740, 366, 965?

You can find a detailed procedure to find GCD of 712, 740, 366, 965 on our page.

3. How to find GCD of 712, 740, 366, 965 on a calculator?

You can find the GCD of 712, 740, 366, 965 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.