Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9724/554,8217/1225
Formula to find GCF of Fractions is
GCF = GCF of Numerators/LCM of Denominators
As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators
In the given fractions GCF of Numerators means GCF of 9724,8217
Greatest Common Factor of Numerators i.e. GCF of 9724,8217 is 11 .
LCM of Denominators means LCM of 554,1225 as per the given fractions.
LCM of 554,1225 is 678650 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9724,8217
11 | 9724, 8217 |
884, 747 |
∴ So the GCF of the given numbers is 11 = 11
Factors of 9724
List of positive integer factors of 9724 that divides 9724 without a remainder.
1,2,4,11,13,17,22,26,34,44,52,68,143,187,221,286,374,442,572,748,884,2431,4862,9724
Factors of 8217
List of positive integer factors of 8217 that divides 8217 without a remainder.
1,3,9,11,33,83,99,249,747,913,2739,8217
Greatest Common Factor
We found the factors 9724,8217 . The biggest common factor number is the GCF number.
So the greatest common factor 9724,8217 is 11.
Lets's calculate LCM of 554,1225
Given numbers has no common factors except 1. So, there LCM is their product i.e 678650
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/678650
Therefore, the GCF of Fractions 9724/554,8217/1225 is 11/678650
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 554,1225 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(554,1225) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(554,1225) x common factors =1 x 1 = 1
LCM(554,1225) = ( 554 × 1225 ) / 1
LCM(554,1225) = 678650 / 1
LCM(554,1225) = 678650
Here are some samples of GCF of Fractions calculations.
Here are some samples of GCF of Fractions calculations.
1. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
2. What is the GCF of Fractions for 9724/554, 8217/1225?
Answer: GCF of Numerators as per given numbers 9724/554, 8217/1225 is
GCF of Numerators i.e. for 9724,8217 is 11
LCM of denominators i.e. for 554,1225 is 678650.
Thus, GCF of Fractions is 11/678650.Finally, GCF of Fractions for 9724/554, 8217/1225 is 11/678650.