Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9144/352,7398/8598
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 9144,7398
Greatest Common Factor of Numerators i.e. GCF of 9144,7398 is 18 .
LCM of Denominators means LCM of 352,8598 as per the given fractions.
LCM of 352,8598 is 1513248 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9144,7398
2 | 9144, 7398 |
3 | 4572, 3699 |
3 | 1524, 1233 |
508, 411 |
∴ So the GCF of the given numbers is 2 x 3 x 3 = 18
Factors of 9144
List of positive integer factors of 9144 that divides 9144 without a remainder.
1,2,3,4,6,8,9,12,18,24,36,72,127,254,381,508,762,1016,1143,1524,2286,3048,4572,9144
Factors of 7398
List of positive integer factors of 7398 that divides 7398 without a remainder.
1,2,3,6,9,18,27,54,137,274,411,822,1233,2466,3699,7398
Greatest Common Factor
We found the factors 9144,7398 . The biggest common factor number is the GCF number.
So the greatest common factor 9144,7398 is 18.
Lets's calculate LCM of 352,8598
2 | 352, 8598 |
176, 4299 |
∴ So the LCM of the given numbers is 2 x 176 x 4299 = 1513248
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 18/1513248
Therefore, the GCF of Fractions 9144/352,7398/8598 is 18/1513248
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 352,8598 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(352,8598) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(352,8598) x common factors =2 x 1 = 2
LCM(352,8598) = ( 352 × 8598 ) / 2
LCM(352,8598) = 3026496 / 2
LCM(352,8598) = 1513248
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 9144/352, 7398/8598?
Answer: GCF of Numerators as per given numbers 9144/352, 7398/8598 is
GCF of Numerators i.e. for 9144,7398 is 18
LCM of denominators i.e. for 352,8598 is 1513248.
Thus, GCF of Fractions is 18/1513248.Finally, GCF of Fractions for 9144/352, 7398/8598 is 18/1513248.