Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1404/108,5557/4739
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 1404,5557
Greatest Common Factor of Numerators i.e. GCF of 1404,5557 is 1 .
LCM of Denominators means LCM of 108,4739 as per the given fractions.
LCM of 108,4739 is 511812 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1404,5557
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 1404
List of positive integer factors of 1404 that divides 1404 without a remainder.
1,2,3,4,6,9,12,13,18,26,27,36,39,52,54,78,108,117,156,234,351,468,702,1404
Factors of 5557
List of positive integer factors of 5557 that divides 5557 without a remainder.
1,5557
Greatest Common Factor
We found the factors 1404,5557 . The biggest common factor number is the GCF number.
So the greatest common factor 1404,5557 is 1.
Lets's calculate LCM of 108,4739
Given numbers has no common factors except 1. So, there LCM is their product i.e 511812
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/511812
Therefore, the GCF of Fractions 1404/108,5557/4739 is 1/511812
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 108,4739 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(108,4739) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(108,4739) x common factors =1 x 1 = 1
LCM(108,4739) = ( 108 × 4739 ) / 1
LCM(108,4739) = 511812 / 1
LCM(108,4739) = 511812
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 1404/108, 5557/4739?
Answer: GCF of Numerators as per given numbers 1404/108, 5557/4739 is
GCF of Numerators i.e. for 1404,5557 is 1
LCM of denominators i.e. for 108,4739 is 511812.
Thus, GCF of Fractions is 1/511812.Finally, GCF of Fractions for 1404/108, 5557/4739 is 1/511812.