Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 46/23,991/48,852/334
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 46,991,852
Greatest Common Factor of Numerators i.e. GCF of 46,991,852 is 1 .
LCM of Denominators means LCM of 23,48,334 as per the given fractions.
LCM of 23,48,334 is 184368 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 46,991,852
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 46
List of positive integer factors of 46 that divides 46 without a remainder.
1,2,23,46
Factors of 991
List of positive integer factors of 991 that divides 991 without a remainder.
1,991
Factors of 852
List of positive integer factors of 852 that divides 852 without a remainder.
1,2,3,4,6,12,71,142,213,284,426,852
Greatest Common Factor
We found the factors 46,991,852 . The biggest common factor number is the GCF number.
So the greatest common factor 46,991,852 is 1.
Lets's calculate LCM of 23,48,334
2 | 23, 48, 334 |
23, 24, 167 |
∴ So the LCM of the given numbers is 2 x 23 x 24 x 167 = 184368
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/184368
Therefore, the GCF of Fractions 46/23,991/48,852/334 is 1/184368
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 23,48,334 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(23,48,334) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(23,48,334) x common factors =1 x 2 = 2
LCM(23,48,334) = ( 23 × 48 × 334 ) / 2
LCM(23,48,334) = 368736 / 2
LCM(23,48,334) = 184368
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 46/23, 991/48, 852/334?
Answer: GCF of Numerators as per given numbers 46/23, 991/48, 852/334 is
GCF of Numerators i.e. for 46,991,852 is 1
LCM of denominators i.e. for 23,48,334 is 184368.
Thus, GCF of Fractions is 1/184368.Finally, GCF of Fractions for 46/23, 991/48, 852/334 is 1/184368.