Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4321/801,7073/488
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 4321,7073
Greatest Common Factor of Numerators i.e. GCF of 4321,7073 is 1 .
LCM of Denominators means LCM of 801,488 as per the given fractions.
LCM of 801,488 is 390888 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4321,7073
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 4321
List of positive integer factors of 4321 that divides 4321 without a remainder.
1,29,149,4321
Factors of 7073
List of positive integer factors of 7073 that divides 7073 without a remainder.
1,11,643,7073
Greatest Common Factor
We found the factors 4321,7073 . The biggest common factor number is the GCF number.
So the greatest common factor 4321,7073 is 1.
Lets's calculate LCM of 801,488
Given numbers has no common factors except 1. So, there LCM is their product i.e 390888
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/390888
Therefore, the GCF of Fractions 4321/801,7073/488 is 1/390888
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 801,488 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(801,488) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(801,488) x common factors =1 x 1 = 1
LCM(801,488) = ( 801 × 488 ) / 1
LCM(801,488) = 390888 / 1
LCM(801,488) = 390888
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 4321/801, 7073/488?
Answer: GCF of Numerators as per given numbers 4321/801, 7073/488 is
GCF of Numerators i.e. for 4321,7073 is 1
LCM of denominators i.e. for 801,488 is 390888.
Thus, GCF of Fractions is 1/390888.Finally, GCF of Fractions for 4321/801, 7073/488 is 1/390888.