GCD of 250, 616, 49, 770 Calculator

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Make use of GCD Calculator to determine the Greatest Common Divisor of 250, 616, 49, 770 i.e. 1 largest integer that divides all the numbers equally.

GCD of 250, 616, 49, 770 is 1

GCD(250, 616, 49, 770) = 1

Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345

GCD of

GCD of numbers 250, 616, 49, 770 is 1

GCD(250, 616, 49, 770) = 1

GCD of 250,616,49,770 Calculator

GCDof 250,616,49,770 is 1

Given Input numbers are 250, 616, 49, 770

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

Divisors of 250

List of positive integer divisors of 250 that divides 250 without a remainder.

1, 2, 5, 10, 25, 50, 125, 250

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 49

List of positive integer divisors of 49 that divides 49 without a remainder.

1, 7, 49

Divisors of 770

List of positive integer divisors of 770 that divides 770 without a remainder.

1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770

Greatest Common Divisior

We found the divisors of 250, 616, 49, 770 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 250, 616, 49, 770 is 1.

Therefore, GCD of numbers 250, 616, 49, 770 is 1

Finding GCD of 250, 616, 49, 770 using Prime Factorization

Given Input Data is 250, 616, 49, 770

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

Prime Factorization of 250 is 2 x 5 x 5 x 5

Prime Factorization of 616 is 2 x 2 x 2 x 7 x 11

Prime Factorization of 49 is 7 x 7

Prime Factorization of 770 is 2 x 5 x 7 x 11

The above numbers do not have any common prime factor. So GCD is 1

Finding GCD of 250, 616, 49, 770 using LCM Formula

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(250, 616) = 77000

GCD(250, 616) = ( 250 x 616 ) / 77000

GCD(250, 616) = 154000 / 77000

GCD(250, 616) = 2


Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 49

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

LCM(2, 49) = 98

GCD(2, 49) = ( 2 x 49 ) / 98

GCD(2, 49) = 98 / 98

GCD(2, 49) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 770

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

LCM(1, 770) = 770

GCD(1, 770) = ( 1 x 770 ) / 770

GCD(1, 770) = 770 / 770

GCD(1, 770) = 1

GCD of 250, 616, 49, 770 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 250, 616, 49, 770

1. What is the GCD of 250, 616, 49, 770?

GCD of 250, 616, 49, 770 is 1


2. Where do I get the detailed procedure to find GCD of 250, 616, 49, 770?

You can find a detailed procedure to find GCD of 250, 616, 49, 770 on our page.


3. How to find GCD of 250, 616, 49, 770 on a calculator?

You can find the GCD of 250, 616, 49, 770 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.