Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7493/884,4671/321
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 7493,4671
Greatest Common Factor of Numerators i.e. GCF of 7493,4671 is 1 .
LCM of Denominators means LCM of 884,321 as per the given fractions.
LCM of 884,321 is 283764 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7493,4671
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 7493
List of positive integer factors of 7493 that divides 7493 without a remainder.
1,59,127,7493
Factors of 4671
List of positive integer factors of 4671 that divides 4671 without a remainder.
1,3,9,27,173,519,1557,4671
Greatest Common Factor
We found the factors 7493,4671 . The biggest common factor number is the GCF number.
So the greatest common factor 7493,4671 is 1.
Lets's calculate LCM of 884,321
Given numbers has no common factors except 1. So, there LCM is their product i.e 283764
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/283764
Therefore, the GCF of Fractions 7493/884,4671/321 is 1/283764
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 884,321 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(884,321) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(884,321) x common factors =1 x 1 = 1
LCM(884,321) = ( 884 × 321 ) / 1
LCM(884,321) = 283764 / 1
LCM(884,321) = 283764
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 7493/884, 4671/321?
Answer: GCF of Numerators as per given numbers 7493/884, 4671/321 is
GCF of Numerators i.e. for 7493,4671 is 1
LCM of denominators i.e. for 884,321 is 283764.
Thus, GCF of Fractions is 1/283764.Finally, GCF of Fractions for 7493/884, 4671/321 is 1/283764.