GCD of 121, 343, 526, 270 Calculator

Given Input numbers are 121, 343, 526, 270

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

Divisors of 121

List of positive integer divisors of 121 that divides 121 without a remainder.

1, 11, 121

Divisors of 343

List of positive integer divisors of 343 that divides 343 without a remainder.

1, 7, 49, 343

Divisors of 526

List of positive integer divisors of 526 that divides 526 without a remainder.

1, 2, 263, 526

Divisors of 270

List of positive integer divisors of 270 that divides 270 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

Greatest Common Divisior

We found the divisors of 121, 343, 526, 270 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 121, 343, 526, 270 is 1.

Therefore, GCD of numbers 121, 343, 526, 270 is 1

Given Input Data is 121, 343, 526, 270

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

Prime Factorization of 121 is 11 x 11

Prime Factorization of 343 is 7 x 7 x 7

Prime Factorization of 526 is 2 x 263

Prime Factorization of 270 is 2 x 3 x 3 x 3 x 5

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(121, 343) = 41503

GCD(121, 343) = ( 121 x 343 ) / 41503

GCD(121, 343) = 41503 / 41503

GCD(121, 343) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 526

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

LCM(1, 526) = 526

GCD(1, 526) = ( 1 x 526 ) / 526

GCD(1, 526) = 526 / 526

GCD(1, 526) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 270

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

LCM(1, 270) = 270

GCD(1, 270) = ( 1 x 270 ) / 270

GCD(1, 270) = 270 / 270

GCD(1, 270) = 1

GCD of 121, 343, 526, 270 is 1

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1. What is the GCD of 121, 343, 526, 270?

GCD of 121, 343, 526, 270 is 1

2. Where do I get the detailed procedure to find GCD of 121, 343, 526, 270?

You can find a detailed procedure to find GCD of 121, 343, 526, 270 on our page.

3. How to find GCD of 121, 343, 526, 270 on a calculator?

You can find the GCD of 121, 343, 526, 270 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.