GCD of 262, 280, 938, 334 Calculator

Given Input numbers are 262, 280, 938, 334

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

Divisors of 262

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

1, 2, 131, 262

Divisors of 280

List of positive integer divisors of 280 that divides 280 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280

Divisors of 938

List of positive integer divisors of 938 that divides 938 without a remainder.

1, 2, 7, 14, 67, 134, 469, 938

Divisors of 334

List of positive integer divisors of 334 that divides 334 without a remainder.

1, 2, 167, 334

Greatest Common Divisior

We found the divisors of 262, 280, 938, 334 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 262, 280, 938, 334 is 2.

Therefore, GCD of numbers 262, 280, 938, 334 is 2

Given Input Data is 262, 280, 938, 334

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

Prime Factorization of 262 is 2 x 131

Prime Factorization of 280 is 2 x 2 x 2 x 5 x 7

Prime Factorization of 938 is 2 x 7 x 67

Prime Factorization of 334 is 2 x 167

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(262, 280) = 36680

GCD(262, 280) = ( 262 x 280 ) / 36680

GCD(262, 280) = 73360 / 36680

GCD(262, 280) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 938

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

LCM(2, 938) = 938

GCD(2, 938) = ( 2 x 938 ) / 938

GCD(2, 938) = 1876 / 938

GCD(2, 938) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 334

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

LCM(2, 334) = 334

GCD(2, 334) = ( 2 x 334 ) / 334

GCD(2, 334) = 668 / 334

GCD(2, 334) = 2

GCD of 262, 280, 938, 334 is 2

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1. What is the GCD of 262, 280, 938, 334?

GCD of 262, 280, 938, 334 is 2

2. Where do I get the detailed procedure to find GCD of 262, 280, 938, 334?

You can find a detailed procedure to find GCD of 262, 280, 938, 334 on our page.

3. How to find GCD of 262, 280, 938, 334 on a calculator?

You can find the GCD of 262, 280, 938, 334 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.