Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8344/539,3124/365
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 8344,3124
Greatest Common Factor of Numerators i.e. GCF of 8344,3124 is 4 .
LCM of Denominators means LCM of 539,365 as per the given fractions.
LCM of 539,365 is 196735 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8344,3124
2 | 8344, 3124 |
2 | 4172, 1562 |
2086, 781 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Factors of 8344
List of positive integer factors of 8344 that divides 8344 without a remainder.
1,2,4,7,8,14,28,56,149,298,596,1043,1192,2086,4172,8344
Factors of 3124
List of positive integer factors of 3124 that divides 3124 without a remainder.
1,2,4,11,22,44,71,142,284,781,1562,3124
Greatest Common Factor
We found the factors 8344,3124 . The biggest common factor number is the GCF number.
So the greatest common factor 8344,3124 is 4.
Lets's calculate LCM of 539,365
Given numbers has no common factors except 1. So, there LCM is their product i.e 196735
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/196735
Therefore, the GCF of Fractions 8344/539,3124/365 is 4/196735
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 539,365 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(539,365) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(539,365) x common factors =1 x 1 = 1
LCM(539,365) = ( 539 × 365 ) / 1
LCM(539,365) = 196735 / 1
LCM(539,365) = 196735
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 8344/539, 3124/365?
Answer: GCF of Numerators as per given numbers 8344/539, 3124/365 is
GCF of Numerators i.e. for 8344,3124 is 4
LCM of denominators i.e. for 539,365 is 196735.
Thus, GCF of Fractions is 4/196735.Finally, GCF of Fractions for 8344/539, 3124/365 is 4/196735.