Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7147/15,7602/137
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 7147,7602
Greatest Common Factor of Numerators i.e. GCF of 7147,7602 is 7 .
LCM of Denominators means LCM of 15,137 as per the given fractions.
LCM of 15,137 is 2055 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7147,7602
7 | 7147, 7602 |
1021, 1086 |
∴ So the GCF of the given numbers is 7 = 7
Factors of 7147
List of positive integer factors of 7147 that divides 7147 without a remainder.
1,7,1021,7147
Factors of 7602
List of positive integer factors of 7602 that divides 7602 without a remainder.
1,2,3,6,7,14,21,42,181,362,543,1086,1267,2534,3801,7602
Greatest Common Factor
We found the factors 7147,7602 . The biggest common factor number is the GCF number.
So the greatest common factor 7147,7602 is 7.
Lets's calculate LCM of 15,137
Given numbers has no common factors except 1. So, there LCM is their product i.e 2055
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/2055
Therefore, the GCF of Fractions 7147/15,7602/137 is 7/2055
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 15,137 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(15,137) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(15,137) x common factors =1 x 1 = 1
LCM(15,137) = ( 15 × 137 ) / 1
LCM(15,137) = 2055 / 1
LCM(15,137) = 2055
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 7147/15, 7602/137?
Answer: GCF of Numerators as per given numbers 7147/15, 7602/137 is
GCF of Numerators i.e. for 7147,7602 is 7
LCM of denominators i.e. for 15,137 is 2055.
Thus, GCF of Fractions is 7/2055.Finally, GCF of Fractions for 7147/15, 7602/137 is 7/2055.