GCD of 274, 492, 48, 971 Calculator

Given Input numbers are 274, 492, 48, 971

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

Divisors of 274

List of positive integer divisors of 274 that divides 274 without a remainder.

1, 2, 137, 274

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 48

List of positive integer divisors of 48 that divides 48 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48

Divisors of 971

List of positive integer divisors of 971 that divides 971 without a remainder.

1, 971

Greatest Common Divisior

We found the divisors of 274, 492, 48, 971 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 274, 492, 48, 971 is 1.

Therefore, GCD of numbers 274, 492, 48, 971 is 1

Given Input Data is 274, 492, 48, 971

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

Prime Factorization of 274 is 2 x 137

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

Prime Factorization of 48 is 2 x 2 x 2 x 2 x 3

Prime Factorization of 971 is 971

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(274, 492) = 67404

GCD(274, 492) = ( 274 x 492 ) / 67404

GCD(274, 492) = 134808 / 67404

GCD(274, 492) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 48

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

LCM(2, 48) = 48

GCD(2, 48) = ( 2 x 48 ) / 48

GCD(2, 48) = 96 / 48

GCD(2, 48) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 971

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

LCM(2, 971) = 1942

GCD(2, 971) = ( 2 x 971 ) / 1942

GCD(2, 971) = 1942 / 1942

GCD(2, 971) = 1

GCD of 274, 492, 48, 971 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 319, 584, 90, 942
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• GCD of 819, 508, 78, 832
• GCD of 771, 797, 44, 212
• GCD of 588, 678, 83, 229

1. What is the GCD of 274, 492, 48, 971?

GCD of 274, 492, 48, 971 is 1

2. Where do I get the detailed procedure to find GCD of 274, 492, 48, 971?

You can find a detailed procedure to find GCD of 274, 492, 48, 971 on our page.

3. How to find GCD of 274, 492, 48, 971 on a calculator?

You can find the GCD of 274, 492, 48, 971 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.