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 698, 780, 22, 172 i.e. 2 largest integer that divides all the numbers equally.
GCD of 698, 780, 22, 172 is 2
GCD(698, 780, 22, 172) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 698, 780, 22, 172 is 2
GCD(698, 780, 22, 172) = 2
Given Input numbers are 698, 780, 22, 172
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 698
List of positive integer divisors of 698 that divides 698 without a remainder.
1, 2, 349, 698
Divisors of 780
List of positive integer divisors of 780 that divides 780 without a remainder.
1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780
Divisors of 22
List of positive integer divisors of 22 that divides 22 without a remainder.
1, 2, 11, 22
Divisors of 172
List of positive integer divisors of 172 that divides 172 without a remainder.
1, 2, 4, 43, 86, 172
Greatest Common Divisior
We found the divisors of 698, 780, 22, 172 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 698, 780, 22, 172 is 2.
Therefore, GCD of numbers 698, 780, 22, 172 is 2
Given Input Data is 698, 780, 22, 172
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 698 is 2 x 349
Prime Factorization of 780 is 2 x 2 x 3 x 5 x 13
Prime Factorization of 22 is 2 x 11
Prime Factorization of 172 is 2 x 2 x 43
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(698, 780) = 272220
GCD(698, 780) = ( 698 x 780 ) / 272220
GCD(698, 780) = 544440 / 272220
GCD(698, 780) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 22
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 22) = 22
GCD(2, 22) = ( 2 x 22 ) / 22
GCD(2, 22) = 44 / 22
GCD(2, 22) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 172
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 172) = 172
GCD(2, 172) = ( 2 x 172 ) / 172
GCD(2, 172) = 344 / 172
GCD(2, 172) = 2
GCD of 698, 780, 22, 172 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 698, 780, 22, 172?
GCD of 698, 780, 22, 172 is 2
2. Where do I get the detailed procedure to find GCD of 698, 780, 22, 172?
You can find a detailed procedure to find GCD of 698, 780, 22, 172 on our page.
3. How to find GCD of 698, 780, 22, 172 on a calculator?
You can find the GCD of 698, 780, 22, 172 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.