Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9841/693,8020/103
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 9841,8020
Greatest Common Factor of Numerators i.e. GCF of 9841,8020 is 1 .
LCM of Denominators means LCM of 693,103 as per the given fractions.
LCM of 693,103 is 71379 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9841,8020
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 9841
List of positive integer factors of 9841 that divides 9841 without a remainder.
1,13,757,9841
Factors of 8020
List of positive integer factors of 8020 that divides 8020 without a remainder.
1,2,4,5,10,20,401,802,1604,2005,4010,8020
Greatest Common Factor
We found the factors 9841,8020 . The biggest common factor number is the GCF number.
So the greatest common factor 9841,8020 is 1.
Lets's calculate LCM of 693,103
Given numbers has no common factors except 1. So, there LCM is their product i.e 71379
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/71379
Therefore, the GCF of Fractions 9841/693,8020/103 is 1/71379
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 693,103 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(693,103) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(693,103) x common factors =1 x 1 = 1
LCM(693,103) = ( 693 × 103 ) / 1
LCM(693,103) = 71379 / 1
LCM(693,103) = 71379
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 9841/693, 8020/103?
Answer: GCF of Numerators as per given numbers 9841/693, 8020/103 is
GCF of Numerators i.e. for 9841,8020 is 1
LCM of denominators i.e. for 693,103 is 71379.
Thus, GCF of Fractions is 1/71379.Finally, GCF of Fractions for 9841/693, 8020/103 is 1/71379.