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 278, 350, 696, 522 i.e. 2 largest integer that divides all the numbers equally.
GCD of 278, 350, 696, 522 is 2
GCD(278, 350, 696, 522) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 278, 350, 696, 522 is 2
GCD(278, 350, 696, 522) = 2
Given Input numbers are 278, 350, 696, 522
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 278
List of positive integer divisors of 278 that divides 278 without a remainder.
1, 2, 139, 278
Divisors of 350
List of positive integer divisors of 350 that divides 350 without a remainder.
1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350
Divisors of 696
List of positive integer divisors of 696 that divides 696 without a remainder.
1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696
Divisors of 522
List of positive integer divisors of 522 that divides 522 without a remainder.
1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522
Greatest Common Divisior
We found the divisors of 278, 350, 696, 522 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 278, 350, 696, 522 is 2.
Therefore, GCD of numbers 278, 350, 696, 522 is 2
Given Input Data is 278, 350, 696, 522
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 278 is 2 x 139
Prime Factorization of 350 is 2 x 5 x 5 x 7
Prime Factorization of 696 is 2 x 2 x 2 x 3 x 29
Prime Factorization of 522 is 2 x 3 x 3 x 29
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(278, 350) = 48650
GCD(278, 350) = ( 278 x 350 ) / 48650
GCD(278, 350) = 97300 / 48650
GCD(278, 350) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 696
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 696) = 696
GCD(2, 696) = ( 2 x 696 ) / 696
GCD(2, 696) = 1392 / 696
GCD(2, 696) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 522
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 522) = 522
GCD(2, 522) = ( 2 x 522 ) / 522
GCD(2, 522) = 1044 / 522
GCD(2, 522) = 2
GCD of 278, 350, 696, 522 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 278, 350, 696, 522?
GCD of 278, 350, 696, 522 is 2
2. Where do I get the detailed procedure to find GCD of 278, 350, 696, 522?
You can find a detailed procedure to find GCD of 278, 350, 696, 522 on our page.
3. How to find GCD of 278, 350, 696, 522 on a calculator?
You can find the GCD of 278, 350, 696, 522 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.