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 98, 928, 760, 564 i.e. 2 largest integer that divides all the numbers equally.
GCD of 98, 928, 760, 564 is 2
GCD(98, 928, 760, 564) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 98, 928, 760, 564 is 2
GCD(98, 928, 760, 564) = 2
Given Input numbers are 98, 928, 760, 564
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 98
List of positive integer divisors of 98 that divides 98 without a remainder.
1, 2, 7, 14, 49, 98
Divisors of 928
List of positive integer divisors of 928 that divides 928 without a remainder.
1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928
Divisors of 760
List of positive integer divisors of 760 that divides 760 without a remainder.
1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760
Divisors of 564
List of positive integer divisors of 564 that divides 564 without a remainder.
1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564
Greatest Common Divisior
We found the divisors of 98, 928, 760, 564 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 98, 928, 760, 564 is 2.
Therefore, GCD of numbers 98, 928, 760, 564 is 2
Given Input Data is 98, 928, 760, 564
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 98 is 2 x 7 x 7
Prime Factorization of 928 is 2 x 2 x 2 x 2 x 2 x 29
Prime Factorization of 760 is 2 x 2 x 2 x 5 x 19
Prime Factorization of 564 is 2 x 2 x 3 x 47
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(98, 928) = 45472
GCD(98, 928) = ( 98 x 928 ) / 45472
GCD(98, 928) = 90944 / 45472
GCD(98, 928) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 760
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 760) = 760
GCD(2, 760) = ( 2 x 760 ) / 760
GCD(2, 760) = 1520 / 760
GCD(2, 760) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 564
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 564) = 564
GCD(2, 564) = ( 2 x 564 ) / 564
GCD(2, 564) = 1128 / 564
GCD(2, 564) = 2
GCD of 98, 928, 760, 564 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 98, 928, 760, 564?
GCD of 98, 928, 760, 564 is 2
2. Where do I get the detailed procedure to find GCD of 98, 928, 760, 564?
You can find a detailed procedure to find GCD of 98, 928, 760, 564 on our page.
3. How to find GCD of 98, 928, 760, 564 on a calculator?
You can find the GCD of 98, 928, 760, 564 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.