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 748, 232, 98, 840 i.e. 2 largest integer that divides all the numbers equally.
GCD of 748, 232, 98, 840 is 2
GCD(748, 232, 98, 840) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 748, 232, 98, 840 is 2
GCD(748, 232, 98, 840) = 2
Given Input numbers are 748, 232, 98, 840
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 748
List of positive integer divisors of 748 that divides 748 without a remainder.
1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
Divisors of 232
List of positive integer divisors of 232 that divides 232 without a remainder.
1, 2, 4, 8, 29, 58, 116, 232
Divisors of 98
List of positive integer divisors of 98 that divides 98 without a remainder.
1, 2, 7, 14, 49, 98
Divisors of 840
List of positive integer divisors of 840 that divides 840 without a remainder.
1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840
Greatest Common Divisior
We found the divisors of 748, 232, 98, 840 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 748, 232, 98, 840 is 2.
Therefore, GCD of numbers 748, 232, 98, 840 is 2
Given Input Data is 748, 232, 98, 840
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 748 is 2 x 2 x 11 x 17
Prime Factorization of 232 is 2 x 2 x 2 x 29
Prime Factorization of 98 is 2 x 7 x 7
Prime Factorization of 840 is 2 x 2 x 2 x 3 x 5 x 7
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(748, 232) = 43384
GCD(748, 232) = ( 748 x 232 ) / 43384
GCD(748, 232) = 173536 / 43384
GCD(748, 232) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 98
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 98) = 196
GCD(4, 98) = ( 4 x 98 ) / 196
GCD(4, 98) = 392 / 196
GCD(4, 98) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 840
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 840) = 840
GCD(2, 840) = ( 2 x 840 ) / 840
GCD(2, 840) = 1680 / 840
GCD(2, 840) = 2
GCD of 748, 232, 98, 840 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 748, 232, 98, 840?
GCD of 748, 232, 98, 840 is 2
2. Where do I get the detailed procedure to find GCD of 748, 232, 98, 840?
You can find a detailed procedure to find GCD of 748, 232, 98, 840 on our page.
3. How to find GCD of 748, 232, 98, 840 on a calculator?
You can find the GCD of 748, 232, 98, 840 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.