Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5567/799,9925/6895
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 5567,9925
Greatest Common Factor of Numerators i.e. GCF of 5567,9925 is 1 .
LCM of Denominators means LCM of 799,6895 as per the given fractions.
LCM of 799,6895 is 5509105 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5567,9925
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 5567
List of positive integer factors of 5567 that divides 5567 without a remainder.
1,19,293,5567
Factors of 9925
List of positive integer factors of 9925 that divides 9925 without a remainder.
1,5,25,397,1985,9925
Greatest Common Factor
We found the factors 5567,9925 . The biggest common factor number is the GCF number.
So the greatest common factor 5567,9925 is 1.
Lets's calculate LCM of 799,6895
Given numbers has no common factors except 1. So, there LCM is their product i.e 5509105
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5509105
Therefore, the GCF of Fractions 5567/799,9925/6895 is 1/5509105
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 799,6895 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(799,6895) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(799,6895) x common factors =1 x 1 = 1
LCM(799,6895) = ( 799 × 6895 ) / 1
LCM(799,6895) = 5509105 / 1
LCM(799,6895) = 5509105
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 5567/799, 9925/6895?
Answer: GCF of Numerators as per given numbers 5567/799, 9925/6895 is
GCF of Numerators i.e. for 5567,9925 is 1
LCM of denominators i.e. for 799,6895 is 5509105.
Thus, GCF of Fractions is 1/5509105.Finally, GCF of Fractions for 5567/799, 9925/6895 is 1/5509105.