Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1166/601,7739/2640
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 1166,7739
Greatest Common Factor of Numerators i.e. GCF of 1166,7739 is 1 .
LCM of Denominators means LCM of 601,2640 as per the given fractions.
LCM of 601,2640 is 1586640 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1166,7739
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 1166
List of positive integer factors of 1166 that divides 1166 without a remainder.
1,2,11,22,53,106,583,1166
Factors of 7739
List of positive integer factors of 7739 that divides 7739 without a remainder.
1,71,109,7739
Greatest Common Factor
We found the factors 1166,7739 . The biggest common factor number is the GCF number.
So the greatest common factor 1166,7739 is 1.
Lets's calculate LCM of 601,2640
Given numbers has no common factors except 1. So, there LCM is their product i.e 1586640
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1586640
Therefore, the GCF of Fractions 1166/601,7739/2640 is 1/1586640
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 601,2640 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(601,2640) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(601,2640) x common factors =1 x 1 = 1
LCM(601,2640) = ( 601 × 2640 ) / 1
LCM(601,2640) = 1586640 / 1
LCM(601,2640) = 1586640
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 1166/601, 7739/2640?
Answer: GCF of Numerators as per given numbers 1166/601, 7739/2640 is
GCF of Numerators i.e. for 1166,7739 is 1
LCM of denominators i.e. for 601,2640 is 1586640.
Thus, GCF of Fractions is 1/1586640.Finally, GCF of Fractions for 1166/601, 7739/2640 is 1/1586640.