GCD of 340, 132, 700, 205 Calculator

Given Input numbers are 340, 132, 700, 205

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

Divisors of 340

List of positive integer divisors of 340 that divides 340 without a remainder.

1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

Divisors of 132

List of positive integer divisors of 132 that divides 132 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

Divisors of 700

List of positive integer divisors of 700 that divides 700 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700

Divisors of 205

List of positive integer divisors of 205 that divides 205 without a remainder.

1, 5, 41, 205

Greatest Common Divisior

We found the divisors of 340, 132, 700, 205 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 340, 132, 700, 205 is 1.

Therefore, GCD of numbers 340, 132, 700, 205 is 1

Given Input Data is 340, 132, 700, 205

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

Prime Factorization of 340 is 2 x 2 x 5 x 17

Prime Factorization of 132 is 2 x 2 x 3 x 11

Prime Factorization of 700 is 2 x 2 x 5 x 5 x 7

Prime Factorization of 205 is 5 x 41

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(340, 132) = 11220

GCD(340, 132) = ( 340 x 132 ) / 11220

GCD(340, 132) = 44880 / 11220

GCD(340, 132) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 700

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

LCM(4, 700) = 700

GCD(4, 700) = ( 4 x 700 ) / 700

GCD(4, 700) = 2800 / 700

GCD(4, 700) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 205

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

LCM(4, 205) = 820

GCD(4, 205) = ( 4 x 205 ) / 820

GCD(4, 205) = 820 / 820

GCD(4, 205) = 1

GCD of 340, 132, 700, 205 is 1

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1. What is the GCD of 340, 132, 700, 205?

GCD of 340, 132, 700, 205 is 1

2. Where do I get the detailed procedure to find GCD of 340, 132, 700, 205?

You can find a detailed procedure to find GCD of 340, 132, 700, 205 on our page.

3. How to find GCD of 340, 132, 700, 205 on a calculator?

You can find the GCD of 340, 132, 700, 205 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.