Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1847/356,9697/9943
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 1847,9697
Greatest Common Factor of Numerators i.e. GCF of 1847,9697 is 1 .
LCM of Denominators means LCM of 356,9943 as per the given fractions.
LCM of 356,9943 is 3539708 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1847,9697
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 1847
List of positive integer factors of 1847 that divides 1847 without a remainder.
1,1847
Factors of 9697
List of positive integer factors of 9697 that divides 9697 without a remainder.
1,9697
Greatest Common Factor
We found the factors 1847,9697 . The biggest common factor number is the GCF number.
So the greatest common factor 1847,9697 is 1.
Lets's calculate LCM of 356,9943
Given numbers has no common factors except 1. So, there LCM is their product i.e 3539708
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3539708
Therefore, the GCF of Fractions 1847/356,9697/9943 is 1/3539708
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 356,9943 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(356,9943) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(356,9943) x common factors =1 x 1 = 1
LCM(356,9943) = ( 356 × 9943 ) / 1
LCM(356,9943) = 3539708 / 1
LCM(356,9943) = 3539708
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 1847/356, 9697/9943?
Answer: GCF of Numerators as per given numbers 1847/356, 9697/9943 is
GCF of Numerators i.e. for 1847,9697 is 1
LCM of denominators i.e. for 356,9943 is 3539708.
Thus, GCF of Fractions is 1/3539708.Finally, GCF of Fractions for 1847/356, 9697/9943 is 1/3539708.