Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7779/832,6848/1247
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 7779,6848
Greatest Common Factor of Numerators i.e. GCF of 7779,6848 is 1 .
LCM of Denominators means LCM of 832,1247 as per the given fractions.
LCM of 832,1247 is 1037504 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7779,6848
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 7779
List of positive integer factors of 7779 that divides 7779 without a remainder.
1,3,2593,7779
Factors of 6848
List of positive integer factors of 6848 that divides 6848 without a remainder.
1,2,4,8,16,32,64,107,214,428,856,1712,3424,6848
Greatest Common Factor
We found the factors 7779,6848 . The biggest common factor number is the GCF number.
So the greatest common factor 7779,6848 is 1.
Lets's calculate LCM of 832,1247
Given numbers has no common factors except 1. So, there LCM is their product i.e 1037504
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1037504
Therefore, the GCF of Fractions 7779/832,6848/1247 is 1/1037504
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 832,1247 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(832,1247) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(832,1247) x common factors =1 x 1 = 1
LCM(832,1247) = ( 832 × 1247 ) / 1
LCM(832,1247) = 1037504 / 1
LCM(832,1247) = 1037504
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 7779/832, 6848/1247?
Answer: GCF of Numerators as per given numbers 7779/832, 6848/1247 is
GCF of Numerators i.e. for 7779,6848 is 1
LCM of denominators i.e. for 832,1247 is 1037504.
Thus, GCF of Fractions is 1/1037504.Finally, GCF of Fractions for 7779/832, 6848/1247 is 1/1037504.