Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 34/29,49/14,382/113
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 34,49,382
Greatest Common Factor of Numerators i.e. GCF of 34,49,382 is 1 .
LCM of Denominators means LCM of 29,14,113 as per the given fractions.
LCM of 29,14,113 is 45878 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 34,49,382
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 34
List of positive integer factors of 34 that divides 34 without a remainder.
1,2,17,34
Factors of 49
List of positive integer factors of 49 that divides 49 without a remainder.
1,7,49
Factors of 382
List of positive integer factors of 382 that divides 382 without a remainder.
1,2,191,382
Greatest Common Factor
We found the factors 34,49,382 . The biggest common factor number is the GCF number.
So the greatest common factor 34,49,382 is 1.
Lets's calculate LCM of 29,14,113
Given numbers has no common factors except 1. So, there LCM is their product i.e 45878
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/45878
Therefore, the GCF of Fractions 34/29,49/14,382/113 is 1/45878
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 29,14,113 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(29,14,113) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(29,14,113) x common factors =1 x 1 = 1
LCM(29,14,113) = ( 29 × 14 × 113 ) / 1
LCM(29,14,113) = 45878 / 1
LCM(29,14,113) = 45878
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 34/29, 49/14, 382/113?
Answer: GCF of Numerators as per given numbers 34/29, 49/14, 382/113 is
GCF of Numerators i.e. for 34,49,382 is 1
LCM of denominators i.e. for 29,14,113 is 45878.
Thus, GCF of Fractions is 1/45878.Finally, GCF of Fractions for 34/29, 49/14, 382/113 is 1/45878.