Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4895/777,2039/9940
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 4895,2039
Greatest Common Factor of Numerators i.e. GCF of 4895,2039 is 1 .
LCM of Denominators means LCM of 777,9940 as per the given fractions.
LCM of 777,9940 is 1103340 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4895,2039
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 4895
List of positive integer factors of 4895 that divides 4895 without a remainder.
1,5,11,55,89,445,979,4895
Factors of 2039
List of positive integer factors of 2039 that divides 2039 without a remainder.
1,2039
Greatest Common Factor
We found the factors 4895,2039 . The biggest common factor number is the GCF number.
So the greatest common factor 4895,2039 is 1.
Lets's calculate LCM of 777,9940
7 | 777, 9940 |
111, 1420 |
∴ So the LCM of the given numbers is 7 x 111 x 1420 = 1103340
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1103340
Therefore, the GCF of Fractions 4895/777,2039/9940 is 1/1103340
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 777,9940 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(777,9940) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(777,9940) x common factors =7 x 1 = 7
LCM(777,9940) = ( 777 × 9940 ) / 7
LCM(777,9940) = 7723380 / 7
LCM(777,9940) = 1103340
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 4895/777, 2039/9940?
Answer: GCF of Numerators as per given numbers 4895/777, 2039/9940 is
GCF of Numerators i.e. for 4895,2039 is 1
LCM of denominators i.e. for 777,9940 is 1103340.
Thus, GCF of Fractions is 1/1103340.Finally, GCF of Fractions for 4895/777, 2039/9940 is 1/1103340.