GCD of 272, 340, 91, 640 Calculator

Given Input numbers are 272, 340, 91, 640

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

Divisors of 272

List of positive integer divisors of 272 that divides 272 without a remainder.

1, 2, 4, 8, 16, 17, 34, 68, 136, 272

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 91

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

1, 7, 13, 91

Divisors of 640

List of positive integer divisors of 640 that divides 640 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 320, 640

Greatest Common Divisior

We found the divisors of 272, 340, 91, 640 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 272, 340, 91, 640 is 1.

Therefore, GCD of numbers 272, 340, 91, 640 is 1

Given Input Data is 272, 340, 91, 640

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

Prime Factorization of 272 is 2 x 2 x 2 x 2 x 17

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

Prime Factorization of 91 is 7 x 13

Prime Factorization of 640 is 2 x 2 x 2 x 2 x 2 x 2 x 2 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(272, 340) = 1360

GCD(272, 340) = ( 272 x 340 ) / 1360

GCD(272, 340) = 92480 / 1360

GCD(272, 340) = 68

Step2:

Here we consider the GCD from the above i.e. 68 as first number and the next as 91

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

LCM(68, 91) = 6188

GCD(68, 91) = ( 68 x 91 ) / 6188

GCD(68, 91) = 6188 / 6188

GCD(68, 91) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 640

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

LCM(1, 640) = 640

GCD(1, 640) = ( 1 x 640 ) / 640

GCD(1, 640) = 640 / 640

GCD(1, 640) = 1

GCD of 272, 340, 91, 640 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 987, 690, 74, 108
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• GCD of 455, 338, 17, 209
• GCD of 758, 844, 14, 444
• GCD of 528, 566, 90, 205

1. What is the GCD of 272, 340, 91, 640?

GCD of 272, 340, 91, 640 is 1

2. Where do I get the detailed procedure to find GCD of 272, 340, 91, 640?

You can find a detailed procedure to find GCD of 272, 340, 91, 640 on our page.

3. How to find GCD of 272, 340, 91, 640 on a calculator?

You can find the GCD of 272, 340, 91, 640 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.