Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1468/191,7155/9444
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 1468,7155
Greatest Common Factor of Numerators i.e. GCF of 1468,7155 is 1 .
LCM of Denominators means LCM of 191,9444 as per the given fractions.
LCM of 191,9444 is 1803804 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1468,7155
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 1468
List of positive integer factors of 1468 that divides 1468 without a remainder.
1,2,4,367,734,1468
Factors of 7155
List of positive integer factors of 7155 that divides 7155 without a remainder.
1,3,5,9,15,27,45,53,135,159,265,477,795,1431,2385,7155
Greatest Common Factor
We found the factors 1468,7155 . The biggest common factor number is the GCF number.
So the greatest common factor 1468,7155 is 1.
Lets's calculate LCM of 191,9444
Given numbers has no common factors except 1. So, there LCM is their product i.e 1803804
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1803804
Therefore, the GCF of Fractions 1468/191,7155/9444 is 1/1803804
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 191,9444 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(191,9444) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(191,9444) x common factors =1 x 1 = 1
LCM(191,9444) = ( 191 × 9444 ) / 1
LCM(191,9444) = 1803804 / 1
LCM(191,9444) = 1803804
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 1468/191, 7155/9444?
Answer: GCF of Numerators as per given numbers 1468/191, 7155/9444 is
GCF of Numerators i.e. for 1468,7155 is 1
LCM of denominators i.e. for 191,9444 is 1803804.
Thus, GCF of Fractions is 1/1803804.Finally, GCF of Fractions for 1468/191, 7155/9444 is 1/1803804.