GCD of 34, 268, 461, 265 Calculator

Given Input numbers are 34, 268, 461, 265

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

Divisors of 34

List of positive integer divisors of 34 that divides 34 without a remainder.

1, 2, 17, 34

Divisors of 268

List of positive integer divisors of 268 that divides 268 without a remainder.

1, 2, 4, 67, 134, 268

Divisors of 461

List of positive integer divisors of 461 that divides 461 without a remainder.

1, 461

Divisors of 265

List of positive integer divisors of 265 that divides 265 without a remainder.

1, 5, 53, 265

Greatest Common Divisior

We found the divisors of 34, 268, 461, 265 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 34, 268, 461, 265 is 1.

Therefore, GCD of numbers 34, 268, 461, 265 is 1

Given Input Data is 34, 268, 461, 265

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

Prime Factorization of 34 is 2 x 17

Prime Factorization of 268 is 2 x 2 x 67

Prime Factorization of 461 is 461

Prime Factorization of 265 is 5 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(34, 268) = 4556

GCD(34, 268) = ( 34 x 268 ) / 4556

GCD(34, 268) = 9112 / 4556

GCD(34, 268) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 461

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

LCM(2, 461) = 922

GCD(2, 461) = ( 2 x 461 ) / 922

GCD(2, 461) = 922 / 922

GCD(2, 461) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 265

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

LCM(1, 265) = 265

GCD(1, 265) = ( 1 x 265 ) / 265

GCD(1, 265) = 265 / 265

GCD(1, 265) = 1

GCD of 34, 268, 461, 265 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 84, 548, 246, 468
• GCD of 69, 637, 651, 761
• GCD of 21, 937, 434, 256
• GCD of 26, 292, 610, 106
• GCD of 25, 984, 892, 574

1. What is the GCD of 34, 268, 461, 265?

GCD of 34, 268, 461, 265 is 1

2. Where do I get the detailed procedure to find GCD of 34, 268, 461, 265?

You can find a detailed procedure to find GCD of 34, 268, 461, 265 on our page.

3. How to find GCD of 34, 268, 461, 265 on a calculator?

You can find the GCD of 34, 268, 461, 265 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.