GCD of 274, 507, 91, 848 Calculator

Given Input numbers are 274, 507, 91, 848

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 507

List of positive integer divisors of 507 that divides 507 without a remainder.

1, 3, 13, 39, 169, 507

Divisors of 91

List of positive integer divisors of 91 that divides 91 without a remainder.

1, 7, 13, 91

Divisors of 848

List of positive integer divisors of 848 that divides 848 without a remainder.

1, 2, 4, 8, 16, 53, 106, 212, 424, 848

Greatest Common Divisior

We found the divisors of 274, 507, 91, 848 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 274, 507, 91, 848 is 1.

Therefore, GCD of numbers 274, 507, 91, 848 is 1

Given Input Data is 274, 507, 91, 848

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

Prime Factorization of 274 is 2 x 137

Prime Factorization of 507 is 3 x 13 x 13

Prime Factorization of 91 is 7 x 13

Prime Factorization of 848 is 2 x 2 x 2 x 2 x 53

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, 507) = 138918

GCD(274, 507) = ( 274 x 507 ) / 138918

GCD(274, 507) = 138918 / 138918

GCD(274, 507) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 91

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

LCM(1, 91) = 91

GCD(1, 91) = ( 1 x 91 ) / 91

GCD(1, 91) = 91 / 91

GCD(1, 91) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 848

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

LCM(1, 848) = 848

GCD(1, 848) = ( 1 x 848 ) / 848

GCD(1, 848) = 848 / 848

GCD(1, 848) = 1

GCD of 274, 507, 91, 848 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 526, 271, 35, 609
• GCD of 175, 394, 37, 603
• GCD of 867, 654, 41, 513
• GCD of 831, 481, 56, 123
• GCD of 150, 645, 58, 758

1. What is the GCD of 274, 507, 91, 848?

GCD of 274, 507, 91, 848 is 1

2. Where do I get the detailed procedure to find GCD of 274, 507, 91, 848?

You can find a detailed procedure to find GCD of 274, 507, 91, 848 on our page.

3. How to find GCD of 274, 507, 91, 848 on a calculator?

You can find the GCD of 274, 507, 91, 848 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.