Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1917/382,4808/965
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 1917,4808
Greatest Common Factor of Numerators i.e. GCF of 1917,4808 is 1 .
LCM of Denominators means LCM of 382,965 as per the given fractions.
LCM of 382,965 is 368630 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1917,4808
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 1917
List of positive integer factors of 1917 that divides 1917 without a remainder.
1,3,9,27,71,213,639,1917
Factors of 4808
List of positive integer factors of 4808 that divides 4808 without a remainder.
1,2,4,8,601,1202,2404,4808
Greatest Common Factor
We found the factors 1917,4808 . The biggest common factor number is the GCF number.
So the greatest common factor 1917,4808 is 1.
Lets's calculate LCM of 382,965
Given numbers has no common factors except 1. So, there LCM is their product i.e 368630
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/368630
Therefore, the GCF of Fractions 1917/382,4808/965 is 1/368630
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 382,965 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(382,965) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(382,965) x common factors =1 x 1 = 1
LCM(382,965) = ( 382 × 965 ) / 1
LCM(382,965) = 368630 / 1
LCM(382,965) = 368630
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 1917/382, 4808/965?
Answer: GCF of Numerators as per given numbers 1917/382, 4808/965 is
GCF of Numerators i.e. for 1917,4808 is 1
LCM of denominators i.e. for 382,965 is 368630.
Thus, GCF of Fractions is 1/368630.Finally, GCF of Fractions for 1917/382, 4808/965 is 1/368630.