GCD of 469, 109, 132, 740 Calculator

Given Input numbers are 469, 109, 132, 740

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

Divisors of 469

List of positive integer divisors of 469 that divides 469 without a remainder.

1, 7, 67, 469

Divisors of 109

List of positive integer divisors of 109 that divides 109 without a remainder.

1, 109

Divisors of 132

List of positive integer divisors of 132 that divides 132 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

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

Greatest Common Divisior

We found the divisors of 469, 109, 132, 740 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 469, 109, 132, 740 is 1.

Therefore, GCD of numbers 469, 109, 132, 740 is 1

Given Input Data is 469, 109, 132, 740

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

Prime Factorization of 469 is 7 x 67

Prime Factorization of 109 is 109

Prime Factorization of 132 is 2 x 2 x 3 x 11

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

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(469, 109) = 51121

GCD(469, 109) = ( 469 x 109 ) / 51121

GCD(469, 109) = 51121 / 51121

GCD(469, 109) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 132

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

LCM(1, 132) = 132

GCD(1, 132) = ( 1 x 132 ) / 132

GCD(1, 132) = 132 / 132

GCD(1, 132) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 740

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

LCM(1, 740) = 740

GCD(1, 740) = ( 1 x 740 ) / 740

GCD(1, 740) = 740 / 740

GCD(1, 740) = 1

GCD of 469, 109, 132, 740 is 1

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1. What is the GCD of 469, 109, 132, 740?

GCD of 469, 109, 132, 740 is 1

2. Where do I get the detailed procedure to find GCD of 469, 109, 132, 740?

You can find a detailed procedure to find GCD of 469, 109, 132, 740 on our page.

3. How to find GCD of 469, 109, 132, 740 on a calculator?

You can find the GCD of 469, 109, 132, 740 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.