Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4489/379,7194/3373
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 4489,7194
Greatest Common Factor of Numerators i.e. GCF of 4489,7194 is 1 .
LCM of Denominators means LCM of 379,3373 as per the given fractions.
LCM of 379,3373 is 1278367 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4489,7194
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 4489
List of positive integer factors of 4489 that divides 4489 without a remainder.
1,67,4489
Factors of 7194
List of positive integer factors of 7194 that divides 7194 without a remainder.
1,2,3,6,11,22,33,66,109,218,327,654,1199,2398,3597,7194
Greatest Common Factor
We found the factors 4489,7194 . The biggest common factor number is the GCF number.
So the greatest common factor 4489,7194 is 1.
Lets's calculate LCM of 379,3373
Given numbers has no common factors except 1. So, there LCM is their product i.e 1278367
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1278367
Therefore, the GCF of Fractions 4489/379,7194/3373 is 1/1278367
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 379,3373 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(379,3373) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(379,3373) x common factors =1 x 1 = 1
LCM(379,3373) = ( 379 × 3373 ) / 1
LCM(379,3373) = 1278367 / 1
LCM(379,3373) = 1278367
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 4489/379, 7194/3373?
Answer: GCF of Numerators as per given numbers 4489/379, 7194/3373 is
GCF of Numerators i.e. for 4489,7194 is 1
LCM of denominators i.e. for 379,3373 is 1278367.
Thus, GCF of Fractions is 1/1278367.Finally, GCF of Fractions for 4489/379, 7194/3373 is 1/1278367.