Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 114/13,745/7284
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 114,745
Greatest Common Factor of Numerators i.e. GCF of 114,745 is 1 .
LCM of Denominators means LCM of 13,7284 as per the given fractions.
LCM of 13,7284 is 94692 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 114,745
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 114
List of positive integer factors of 114 that divides 114 without a remainder.
1,2,3,6,19,38,57,114
Factors of 745
List of positive integer factors of 745 that divides 745 without a remainder.
1,5,149,745
Greatest Common Factor
We found the factors 114,745 . The biggest common factor number is the GCF number.
So the greatest common factor 114,745 is 1.
Lets's calculate LCM of 13,7284
Given numbers has no common factors except 1. So, there LCM is their product i.e 94692
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/94692
Therefore, the GCF of Fractions 114/13,745/7284 is 1/94692
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 13,7284 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(13,7284) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(13,7284) x common factors =1 x 1 = 1
LCM(13,7284) = ( 13 × 7284 ) / 1
LCM(13,7284) = 94692 / 1
LCM(13,7284) = 94692
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 114/13, 745/7284?
Answer: GCF of Numerators as per given numbers 114/13, 745/7284 is
GCF of Numerators i.e. for 114,745 is 1
LCM of denominators i.e. for 13,7284 is 94692.
Thus, GCF of Fractions is 1/94692.Finally, GCF of Fractions for 114/13, 745/7284 is 1/94692.