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 874, 248, 770 i.e. 2 largest integer that divides all the numbers equally.
GCD of 874, 248, 770 is 2
GCD(874, 248, 770) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 874, 248, 770 is 2
GCD(874, 248, 770) = 2
Given Input numbers are 874, 248, 770
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 874
List of positive integer divisors of 874 that divides 874 without a remainder.
1, 2, 19, 23, 38, 46, 437, 874
Divisors of 248
List of positive integer divisors of 248 that divides 248 without a remainder.
1, 2, 4, 8, 31, 62, 124, 248
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 874, 248, 770 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 874, 248, 770 is 2.
Therefore, GCD of numbers 874, 248, 770 is 2
Given Input Data is 874, 248, 770
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 874 is 2 x 19 x 23
Prime Factorization of 248 is 2 x 2 x 2 x 31
Prime Factorization of 770 is 2 x 5 x 7 x 11
Highest common occurrences in the given inputs are 21
Multiplying them we get the GCD as 2
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(874, 248) = 108376
GCD(874, 248) = ( 874 x 248 ) / 108376
GCD(874, 248) = 216752 / 108376
GCD(874, 248) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 770
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 770) = 770
GCD(2, 770) = ( 2 x 770 ) / 770
GCD(2, 770) = 1540 / 770
GCD(2, 770) = 2
GCD of 874, 248, 770 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 874, 248, 770?
GCD of 874, 248, 770 is 2
2. Where do I get the detailed procedure to find GCD of 874, 248, 770?
You can find a detailed procedure to find GCD of 874, 248, 770 on our page.
3. How to find GCD of 874, 248, 770 on a calculator?
You can find the GCD of 874, 248, 770 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.