GCD of 490, 748, 77, 946 Calculator

Given Input numbers are 490, 748, 77, 946

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

Divisors of 490

List of positive integer divisors of 490 that divides 490 without a remainder.

1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490

Divisors of 748

List of positive integer divisors of 748 that divides 748 without a remainder.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

Divisors of 77

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

1, 7, 11, 77

Divisors of 946

List of positive integer divisors of 946 that divides 946 without a remainder.

1, 2, 11, 22, 43, 86, 473, 946

Greatest Common Divisior

We found the divisors of 490, 748, 77, 946 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 490, 748, 77, 946 is 1.

Therefore, GCD of numbers 490, 748, 77, 946 is 1

Given Input Data is 490, 748, 77, 946

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

Prime Factorization of 490 is 2 x 5 x 7 x 7

Prime Factorization of 748 is 2 x 2 x 11 x 17

Prime Factorization of 77 is 7 x 11

Prime Factorization of 946 is 2 x 11 x 43

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(490, 748) = 183260

GCD(490, 748) = ( 490 x 748 ) / 183260

GCD(490, 748) = 366520 / 183260

GCD(490, 748) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 77

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

LCM(2, 77) = 154

GCD(2, 77) = ( 2 x 77 ) / 154

GCD(2, 77) = 154 / 154

GCD(2, 77) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 946

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

LCM(1, 946) = 946

GCD(1, 946) = ( 1 x 946 ) / 946

GCD(1, 946) = 946 / 946

GCD(1, 946) = 1

GCD of 490, 748, 77, 946 is 1

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• GCD of 308, 602, 49, 502
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1. What is the GCD of 490, 748, 77, 946?

GCD of 490, 748, 77, 946 is 1

2. Where do I get the detailed procedure to find GCD of 490, 748, 77, 946?

You can find a detailed procedure to find GCD of 490, 748, 77, 946 on our page.

3. How to find GCD of 490, 748, 77, 946 on a calculator?

You can find the GCD of 490, 748, 77, 946 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.