GCD of 740, 312, 36, 711 Calculator

Given Input numbers are 740, 312, 36, 711

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 312

List of positive integer divisors of 312 that divides 312 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

Divisors of 36

List of positive integer divisors of 36 that divides 36 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36

Divisors of 711

List of positive integer divisors of 711 that divides 711 without a remainder.

1, 3, 9, 79, 237, 711

Greatest Common Divisior

We found the divisors of 740, 312, 36, 711 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 740, 312, 36, 711 is 1.

Therefore, GCD of numbers 740, 312, 36, 711 is 1

Given Input Data is 740, 312, 36, 711

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 312 is 2 x 2 x 2 x 3 x 13

Prime Factorization of 36 is 2 x 2 x 3 x 3

Prime Factorization of 711 is 3 x 3 x 79

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, 312) = 57720

GCD(740, 312) = ( 740 x 312 ) / 57720

GCD(740, 312) = 230880 / 57720

GCD(740, 312) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 36

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

LCM(4, 36) = 36

GCD(4, 36) = ( 4 x 36 ) / 36

GCD(4, 36) = 144 / 36

GCD(4, 36) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 711

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

LCM(4, 711) = 2844

GCD(4, 711) = ( 4 x 711 ) / 2844

GCD(4, 711) = 2844 / 2844

GCD(4, 711) = 1

GCD of 740, 312, 36, 711 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 800, 679, 11, 558
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• GCD of 888, 405, 97, 709
• GCD of 462, 608, 40, 940
• GCD of 430, 932, 13, 887

1. What is the GCD of 740, 312, 36, 711?

GCD of 740, 312, 36, 711 is 1

2. Where do I get the detailed procedure to find GCD of 740, 312, 36, 711?

You can find a detailed procedure to find GCD of 740, 312, 36, 711 on our page.

3. How to find GCD of 740, 312, 36, 711 on a calculator?

You can find the GCD of 740, 312, 36, 711 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.