Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4703/397,7019/976
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 4703,7019
Greatest Common Factor of Numerators i.e. GCF of 4703,7019 is 1 .
LCM of Denominators means LCM of 397,976 as per the given fractions.
LCM of 397,976 is 387472 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4703,7019
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 4703
List of positive integer factors of 4703 that divides 4703 without a remainder.
1,4703
Factors of 7019
List of positive integer factors of 7019 that divides 7019 without a remainder.
1,7019
Greatest Common Factor
We found the factors 4703,7019 . The biggest common factor number is the GCF number.
So the greatest common factor 4703,7019 is 1.
Lets's calculate LCM of 397,976
Given numbers has no common factors except 1. So, there LCM is their product i.e 387472
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/387472
Therefore, the GCF of Fractions 4703/397,7019/976 is 1/387472
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 397,976 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(397,976) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(397,976) x common factors =1 x 1 = 1
LCM(397,976) = ( 397 × 976 ) / 1
LCM(397,976) = 387472 / 1
LCM(397,976) = 387472
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 4703/397, 7019/976?
Answer: GCF of Numerators as per given numbers 4703/397, 7019/976 is
GCF of Numerators i.e. for 4703,7019 is 1
LCM of denominators i.e. for 397,976 is 387472.
Thus, GCF of Fractions is 1/387472.Finally, GCF of Fractions for 4703/397, 7019/976 is 1/387472.