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 724, 942, 98, 620 i.e. 2 largest integer that divides all the numbers equally.
GCD of 724, 942, 98, 620 is 2
GCD(724, 942, 98, 620) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 724, 942, 98, 620 is 2
GCD(724, 942, 98, 620) = 2
Given Input numbers are 724, 942, 98, 620
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 724
List of positive integer divisors of 724 that divides 724 without a remainder.
1, 2, 4, 181, 362, 724
Divisors of 942
List of positive integer divisors of 942 that divides 942 without a remainder.
1, 2, 3, 6, 157, 314, 471, 942
Divisors of 98
List of positive integer divisors of 98 that divides 98 without a remainder.
1, 2, 7, 14, 49, 98
Divisors of 620
List of positive integer divisors of 620 that divides 620 without a remainder.
1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620
Greatest Common Divisior
We found the divisors of 724, 942, 98, 620 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 724, 942, 98, 620 is 2.
Therefore, GCD of numbers 724, 942, 98, 620 is 2
Given Input Data is 724, 942, 98, 620
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 724 is 2 x 2 x 181
Prime Factorization of 942 is 2 x 3 x 157
Prime Factorization of 98 is 2 x 7 x 7
Prime Factorization of 620 is 2 x 2 x 5 x 31
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(724, 942) = 341004
GCD(724, 942) = ( 724 x 942 ) / 341004
GCD(724, 942) = 682008 / 341004
GCD(724, 942) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 98
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 98) = 98
GCD(2, 98) = ( 2 x 98 ) / 98
GCD(2, 98) = 196 / 98
GCD(2, 98) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 620
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 620) = 620
GCD(2, 620) = ( 2 x 620 ) / 620
GCD(2, 620) = 1240 / 620
GCD(2, 620) = 2
GCD of 724, 942, 98, 620 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 724, 942, 98, 620?
GCD of 724, 942, 98, 620 is 2
2. Where do I get the detailed procedure to find GCD of 724, 942, 98, 620?
You can find a detailed procedure to find GCD of 724, 942, 98, 620 on our page.
3. How to find GCD of 724, 942, 98, 620 on a calculator?
You can find the GCD of 724, 942, 98, 620 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.