Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7066/51,2739/137
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 7066,2739
Greatest Common Factor of Numerators i.e. GCF of 7066,2739 is 1 .
LCM of Denominators means LCM of 51,137 as per the given fractions.
LCM of 51,137 is 6987 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7066,2739
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 7066
List of positive integer factors of 7066 that divides 7066 without a remainder.
1,2,3533,7066
Factors of 2739
List of positive integer factors of 2739 that divides 2739 without a remainder.
1,3,11,33,83,249,913,2739
Greatest Common Factor
We found the factors 7066,2739 . The biggest common factor number is the GCF number.
So the greatest common factor 7066,2739 is 1.
Lets's calculate LCM of 51,137
Given numbers has no common factors except 1. So, there LCM is their product i.e 6987
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6987
Therefore, the GCF of Fractions 7066/51,2739/137 is 1/6987
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 51,137 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(51,137) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(51,137) x common factors =1 x 1 = 1
LCM(51,137) = ( 51 × 137 ) / 1
LCM(51,137) = 6987 / 1
LCM(51,137) = 6987
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 7066/51, 2739/137?
Answer: GCF of Numerators as per given numbers 7066/51, 2739/137 is
GCF of Numerators i.e. for 7066,2739 is 1
LCM of denominators i.e. for 51,137 is 6987.
Thus, GCF of Fractions is 1/6987.Finally, GCF of Fractions for 7066/51, 2739/137 is 1/6987.