Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7890/145,6827/1332
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 7890,6827
Greatest Common Factor of Numerators i.e. GCF of 7890,6827 is 1 .
LCM of Denominators means LCM of 145,1332 as per the given fractions.
LCM of 145,1332 is 193140 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7890,6827
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 7890
List of positive integer factors of 7890 that divides 7890 without a remainder.
1,2,3,5,6,10,15,30,263,526,789,1315,1578,2630,3945,7890
Factors of 6827
List of positive integer factors of 6827 that divides 6827 without a remainder.
1,6827
Greatest Common Factor
We found the factors 7890,6827 . The biggest common factor number is the GCF number.
So the greatest common factor 7890,6827 is 1.
Lets's calculate LCM of 145,1332
Given numbers has no common factors except 1. So, there LCM is their product i.e 193140
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/193140
Therefore, the GCF of Fractions 7890/145,6827/1332 is 1/193140
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 145,1332 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(145,1332) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(145,1332) x common factors =1 x 1 = 1
LCM(145,1332) = ( 145 × 1332 ) / 1
LCM(145,1332) = 193140 / 1
LCM(145,1332) = 193140
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 7890/145, 6827/1332?
Answer: GCF of Numerators as per given numbers 7890/145, 6827/1332 is
GCF of Numerators i.e. for 7890,6827 is 1
LCM of denominators i.e. for 145,1332 is 193140.
Thus, GCF of Fractions is 1/193140.Finally, GCF of Fractions for 7890/145, 6827/1332 is 1/193140.