GCD of 492, 538, 147, 770 Calculator

Given Input numbers are 492, 538, 147, 770

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 538

List of positive integer divisors of 538 that divides 538 without a remainder.

1, 2, 269, 538

Divisors of 147

List of positive integer divisors of 147 that divides 147 without a remainder.

1, 3, 7, 21, 49, 147

Divisors of 770

List of positive integer divisors of 770 that divides 770 without a remainder.

1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770

Greatest Common Divisior

We found the divisors of 492, 538, 147, 770 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 492, 538, 147, 770 is 1.

Therefore, GCD of numbers 492, 538, 147, 770 is 1

Given Input Data is 492, 538, 147, 770

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 538 is 2 x 269

Prime Factorization of 147 is 3 x 7 x 7

Prime Factorization of 770 is 2 x 5 x 7 x 11

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, 538) = 132348

GCD(492, 538) = ( 492 x 538 ) / 132348

GCD(492, 538) = 264696 / 132348

GCD(492, 538) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 147

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

LCM(2, 147) = 294

GCD(2, 147) = ( 2 x 147 ) / 294

GCD(2, 147) = 294 / 294

GCD(2, 147) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 770

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

LCM(1, 770) = 770

GCD(1, 770) = ( 1 x 770 ) / 770

GCD(1, 770) = 770 / 770

GCD(1, 770) = 1

GCD of 492, 538, 147, 770 is 1

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1. What is the GCD of 492, 538, 147, 770?

GCD of 492, 538, 147, 770 is 1

2. Where do I get the detailed procedure to find GCD of 492, 538, 147, 770?

You can find a detailed procedure to find GCD of 492, 538, 147, 770 on our page.

3. How to find GCD of 492, 538, 147, 770 on a calculator?

You can find the GCD of 492, 538, 147, 770 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.