GCD of 492, 712, 60, 465 Calculator

Given Input numbers are 492, 712, 60, 465

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

Divisors of 492

List of positive integer divisors of 492 that divides 492 without a remainder.

1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

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 60

List of positive integer divisors of 60 that divides 60 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60

Divisors of 465

List of positive integer divisors of 465 that divides 465 without a remainder.

1, 3, 5, 15, 31, 93, 155, 465

Greatest Common Divisior

We found the divisors of 492, 712, 60, 465 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 492, 712, 60, 465 is 1.

Therefore, GCD of numbers 492, 712, 60, 465 is 1

Given Input Data is 492, 712, 60, 465

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

Prime Factorization of 492 is 2 x 2 x 3 x 41

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

Prime Factorization of 60 is 2 x 2 x 3 x 5

Prime Factorization of 465 is 3 x 5 x 31

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(492, 712) = 87576

GCD(492, 712) = ( 492 x 712 ) / 87576

GCD(492, 712) = 350304 / 87576

GCD(492, 712) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 60

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

LCM(4, 60) = 60

GCD(4, 60) = ( 4 x 60 ) / 60

GCD(4, 60) = 240 / 60

GCD(4, 60) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 465

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

LCM(4, 465) = 1860

GCD(4, 465) = ( 4 x 465 ) / 1860

GCD(4, 465) = 1860 / 1860

GCD(4, 465) = 1

GCD of 492, 712, 60, 465 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 400, 359, 58, 674
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• GCD of 780, 855, 38, 641
• GCD of 688, 781, 93, 721
• GCD of 444, 734, 47, 328

1. What is the GCD of 492, 712, 60, 465?

GCD of 492, 712, 60, 465 is 1

2. Where do I get the detailed procedure to find GCD of 492, 712, 60, 465?

You can find a detailed procedure to find GCD of 492, 712, 60, 465 on our page.

3. How to find GCD of 492, 712, 60, 465 on a calculator?

You can find the GCD of 492, 712, 60, 465 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.