GCD of 272, 616, 50, 105 Calculator

Given Input numbers are 272, 616, 50, 105

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 616

List of positive integer divisors of 616 that divides 616 without a remainder.

1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616

Divisors of 50

List of positive integer divisors of 50 that divides 50 without a remainder.

1, 2, 5, 10, 25, 50

Divisors of 105

List of positive integer divisors of 105 that divides 105 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105

Greatest Common Divisior

We found the divisors of 272, 616, 50, 105 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 272, 616, 50, 105 is 1.

Therefore, GCD of numbers 272, 616, 50, 105 is 1

Given Input Data is 272, 616, 50, 105

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 616 is 2 x 2 x 2 x 7 x 11

Prime Factorization of 50 is 2 x 5 x 5

Prime Factorization of 105 is 3 x 5 x 7

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, 616) = 20944

GCD(272, 616) = ( 272 x 616 ) / 20944

GCD(272, 616) = 167552 / 20944

GCD(272, 616) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 50

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

LCM(8, 50) = 200

GCD(8, 50) = ( 8 x 50 ) / 200

GCD(8, 50) = 400 / 200

GCD(8, 50) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 105

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

LCM(2, 105) = 210

GCD(2, 105) = ( 2 x 105 ) / 210

GCD(2, 105) = 210 / 210

GCD(2, 105) = 1

GCD of 272, 616, 50, 105 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 382, 929, 57, 118
• GCD of 761, 858, 53, 936
• GCD of 464, 944, 73, 175
• GCD of 913, 184, 43, 354
• GCD of 544, 161, 46, 558

1. What is the GCD of 272, 616, 50, 105?

GCD of 272, 616, 50, 105 is 1

2. Where do I get the detailed procedure to find GCD of 272, 616, 50, 105?

You can find a detailed procedure to find GCD of 272, 616, 50, 105 on our page.

3. How to find GCD of 272, 616, 50, 105 on a calculator?

You can find the GCD of 272, 616, 50, 105 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.