Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9943/75,2460/934
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 9943,2460
Greatest Common Factor of Numerators i.e. GCF of 9943,2460 is 1 .
LCM of Denominators means LCM of 75,934 as per the given fractions.
LCM of 75,934 is 70050 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9943,2460
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 9943
List of positive integer factors of 9943 that divides 9943 without a remainder.
1,61,163,9943
Factors of 2460
List of positive integer factors of 2460 that divides 2460 without a remainder.
1,2,3,4,5,6,10,12,15,20,30,41,60,82,123,164,205,246,410,492,615,820,1230,2460
Greatest Common Factor
We found the factors 9943,2460 . The biggest common factor number is the GCF number.
So the greatest common factor 9943,2460 is 1.
Lets's calculate LCM of 75,934
Given numbers has no common factors except 1. So, there LCM is their product i.e 70050
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/70050
Therefore, the GCF of Fractions 9943/75,2460/934 is 1/70050
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 75,934 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(75,934) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(75,934) x common factors =1 x 1 = 1
LCM(75,934) = ( 75 × 934 ) / 1
LCM(75,934) = 70050 / 1
LCM(75,934) = 70050
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 9943/75, 2460/934?
Answer: GCF of Numerators as per given numbers 9943/75, 2460/934 is
GCF of Numerators i.e. for 9943,2460 is 1
LCM of denominators i.e. for 75,934 is 70050.
Thus, GCF of Fractions is 1/70050.Finally, GCF of Fractions for 9943/75, 2460/934 is 1/70050.