Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 125/7077,873/4761
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 125,873
Greatest Common Factor of Numerators i.e. GCF of 125,873 is 1 .
LCM of Denominators means LCM of 7077,4761 as per the given fractions.
LCM of 7077,4761 is 11231199 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 125,873
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 125
List of positive integer factors of 125 that divides 125 without a remainder.
1,5,25,125
Factors of 873
List of positive integer factors of 873 that divides 873 without a remainder.
1,3,9,97,291,873
Greatest Common Factor
We found the factors 125,873 . The biggest common factor number is the GCF number.
So the greatest common factor 125,873 is 1.
Lets's calculate LCM of 7077,4761
3 | 7077, 4761 |
2359, 1587 |
∴ So the LCM of the given numbers is 3 x 2359 x 1587 = 11231199
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/11231199
Therefore, the GCF of Fractions 125/7077,873/4761 is 1/11231199
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 7077,4761 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(7077,4761) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(7077,4761) x common factors =3 x 1 = 3
LCM(7077,4761) = ( 7077 × 4761 ) / 3
LCM(7077,4761) = 33693597 / 3
LCM(7077,4761) = 11231199
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 125/7077, 873/4761?
Answer: GCF of Numerators as per given numbers 125/7077, 873/4761 is
GCF of Numerators i.e. for 125,873 is 1
LCM of denominators i.e. for 7077,4761 is 11231199.
Thus, GCF of Fractions is 1/11231199.Finally, GCF of Fractions for 125/7077, 873/4761 is 1/11231199.