Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7296/39,3420/116
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 7296,3420
Greatest Common Factor of Numerators i.e. GCF of 7296,3420 is 228 .
LCM of Denominators means LCM of 39,116 as per the given fractions.
LCM of 39,116 is 4524 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7296,3420
2 | 7296, 3420 |
2 | 3648, 1710 |
3 | 1824, 855 |
19 | 608, 285 |
32, 15 |
∴ So the GCF of the given numbers is 2 x 2 x 3 x 19 = 228
Factors of 7296
List of positive integer factors of 7296 that divides 7296 without a remainder.
1,2,3,4,6,8,12,16,19,24,32,38,48,57,64,76,96,114,128,152,192,228,304,384,456,608,912,1216,1824,2432,3648,7296
Factors of 3420
List of positive integer factors of 3420 that divides 3420 without a remainder.
1,2,3,4,5,6,9,10,12,15,18,19,20,30,36,38,45,57,60,76,90,95,114,171,180,190,228,285,342,380,570,684,855,1140,1710,3420
Greatest Common Factor
We found the factors 7296,3420 . The biggest common factor number is the GCF number.
So the greatest common factor 7296,3420 is 228.
Lets's calculate LCM of 39,116
Given numbers has no common factors except 1. So, there LCM is their product i.e 4524
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 228/4524
Therefore, the GCF of Fractions 7296/39,3420/116 is 228/4524
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 39,116 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(39,116) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(39,116) x common factors =1 x 1 = 1
LCM(39,116) = ( 39 × 116 ) / 1
LCM(39,116) = 4524 / 1
LCM(39,116) = 4524
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 7296/39, 3420/116?
Answer: GCF of Numerators as per given numbers 7296/39, 3420/116 is
GCF of Numerators i.e. for 7296,3420 is 228
LCM of denominators i.e. for 39,116 is 4524.
Thus, GCF of Fractions is 228/4524.Finally, GCF of Fractions for 7296/39, 3420/116 is 228/4524.