GCD of 648, 262, 49, 922 Calculator

Given Input numbers are 648, 262, 49, 922

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

Divisors of 648

List of positive integer divisors of 648 that divides 648 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

Divisors of 262

List of positive integer divisors of 262 that divides 262 without a remainder.

1, 2, 131, 262

Divisors of 49

List of positive integer divisors of 49 that divides 49 without a remainder.

1, 7, 49

Divisors of 922

List of positive integer divisors of 922 that divides 922 without a remainder.

1, 2, 461, 922

Greatest Common Divisior

We found the divisors of 648, 262, 49, 922 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 648, 262, 49, 922 is 1.

Therefore, GCD of numbers 648, 262, 49, 922 is 1

Given Input Data is 648, 262, 49, 922

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

Prime Factorization of 648 is 2 x 2 x 2 x 3 x 3 x 3 x 3

Prime Factorization of 262 is 2 x 131

Prime Factorization of 49 is 7 x 7

Prime Factorization of 922 is 2 x 461

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(648, 262) = 84888

GCD(648, 262) = ( 648 x 262 ) / 84888

GCD(648, 262) = 169776 / 84888

GCD(648, 262) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 49

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

LCM(2, 49) = 98

GCD(2, 49) = ( 2 x 49 ) / 98

GCD(2, 49) = 98 / 98

GCD(2, 49) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 922

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

LCM(1, 922) = 922

GCD(1, 922) = ( 1 x 922 ) / 922

GCD(1, 922) = 922 / 922

GCD(1, 922) = 1

GCD of 648, 262, 49, 922 is 1

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• GCD of 425, 119, 56, 206
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1. What is the GCD of 648, 262, 49, 922?

GCD of 648, 262, 49, 922 is 1

2. Where do I get the detailed procedure to find GCD of 648, 262, 49, 922?

You can find a detailed procedure to find GCD of 648, 262, 49, 922 on our page.

3. How to find GCD of 648, 262, 49, 922 on a calculator?

You can find the GCD of 648, 262, 49, 922 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.