Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7336/135,5971/8020
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 7336,5971
Greatest Common Factor of Numerators i.e. GCF of 7336,5971 is 7 .
LCM of Denominators means LCM of 135,8020 as per the given fractions.
LCM of 135,8020 is 216540 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7336,5971
7 | 7336, 5971 |
1048, 853 |
∴ So the GCF of the given numbers is 7 = 7
Factors of 7336
List of positive integer factors of 7336 that divides 7336 without a remainder.
1,2,4,7,8,14,28,56,131,262,524,917,1048,1834,3668,7336
Factors of 5971
List of positive integer factors of 5971 that divides 5971 without a remainder.
1,7,853,5971
Greatest Common Factor
We found the factors 7336,5971 . The biggest common factor number is the GCF number.
So the greatest common factor 7336,5971 is 7.
Lets's calculate LCM of 135,8020
5 | 135, 8020 |
27, 1604 |
∴ So the LCM of the given numbers is 5 x 27 x 1604 = 216540
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/216540
Therefore, the GCF of Fractions 7336/135,5971/8020 is 7/216540
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 135,8020 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(135,8020) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(135,8020) x common factors =5 x 1 = 5
LCM(135,8020) = ( 135 × 8020 ) / 5
LCM(135,8020) = 1082700 / 5
LCM(135,8020) = 216540
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 7336/135, 5971/8020?
Answer: GCF of Numerators as per given numbers 7336/135, 5971/8020 is
GCF of Numerators i.e. for 7336,5971 is 7
LCM of denominators i.e. for 135,8020 is 216540.
Thus, GCF of Fractions is 7/216540.Finally, GCF of Fractions for 7336/135, 5971/8020 is 7/216540.