GCD of 492, 505, 77, 919 Calculator

Given Input numbers are 492, 505, 77, 919

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 505

List of positive integer divisors of 505 that divides 505 without a remainder.

1, 5, 101, 505

Divisors of 77

List of positive integer divisors of 77 that divides 77 without a remainder.

1, 7, 11, 77

Divisors of 919

List of positive integer divisors of 919 that divides 919 without a remainder.

1, 919

Greatest Common Divisior

We found the divisors of 492, 505, 77, 919 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 492, 505, 77, 919 is 1.

Therefore, GCD of numbers 492, 505, 77, 919 is 1

Given Input Data is 492, 505, 77, 919

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 505 is 5 x 101

Prime Factorization of 77 is 7 x 11

Prime Factorization of 919 is 919

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, 505) = 248460

GCD(492, 505) = ( 492 x 505 ) / 248460

GCD(492, 505) = 248460 / 248460

GCD(492, 505) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 77

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

LCM(1, 77) = 77

GCD(1, 77) = ( 1 x 77 ) / 77

GCD(1, 77) = 77 / 77

GCD(1, 77) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 919

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

LCM(1, 919) = 919

GCD(1, 919) = ( 1 x 919 ) / 919

GCD(1, 919) = 919 / 919

GCD(1, 919) = 1

GCD of 492, 505, 77, 919 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 716, 681, 57, 702
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• GCD of 565, 373, 89, 919

1. What is the GCD of 492, 505, 77, 919?

GCD of 492, 505, 77, 919 is 1

2. Where do I get the detailed procedure to find GCD of 492, 505, 77, 919?

You can find a detailed procedure to find GCD of 492, 505, 77, 919 on our page.

3. How to find GCD of 492, 505, 77, 919 on a calculator?

You can find the GCD of 492, 505, 77, 919 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.