Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9398/196,4721/897
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 9398,4721
Greatest Common Factor of Numerators i.e. GCF of 9398,4721 is 1 .
LCM of Denominators means LCM of 196,897 as per the given fractions.
LCM of 196,897 is 175812 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9398,4721
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 9398
List of positive integer factors of 9398 that divides 9398 without a remainder.
1,2,37,74,127,254,4699,9398
Factors of 4721
List of positive integer factors of 4721 that divides 4721 without a remainder.
1,4721
Greatest Common Factor
We found the factors 9398,4721 . The biggest common factor number is the GCF number.
So the greatest common factor 9398,4721 is 1.
Lets's calculate LCM of 196,897
Given numbers has no common factors except 1. So, there LCM is their product i.e 175812
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/175812
Therefore, the GCF of Fractions 9398/196,4721/897 is 1/175812
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 196,897 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(196,897) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(196,897) x common factors =1 x 1 = 1
LCM(196,897) = ( 196 × 897 ) / 1
LCM(196,897) = 175812 / 1
LCM(196,897) = 175812
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 9398/196, 4721/897?
Answer: GCF of Numerators as per given numbers 9398/196, 4721/897 is
GCF of Numerators i.e. for 9398,4721 is 1
LCM of denominators i.e. for 196,897 is 175812.
Thus, GCF of Fractions is 1/175812.Finally, GCF of Fractions for 9398/196, 4721/897 is 1/175812.