Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4868/707,1863/125
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 4868,1863
Greatest Common Factor of Numerators i.e. GCF of 4868,1863 is 1 .
LCM of Denominators means LCM of 707,125 as per the given fractions.
LCM of 707,125 is 88375 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4868,1863
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 4868
List of positive integer factors of 4868 that divides 4868 without a remainder.
1,2,4,1217,2434,4868
Factors of 1863
List of positive integer factors of 1863 that divides 1863 without a remainder.
1,3,9,23,27,69,81,207,621,1863
Greatest Common Factor
We found the factors 4868,1863 . The biggest common factor number is the GCF number.
So the greatest common factor 4868,1863 is 1.
Lets's calculate LCM of 707,125
Given numbers has no common factors except 1. So, there LCM is their product i.e 88375
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/88375
Therefore, the GCF of Fractions 4868/707,1863/125 is 1/88375
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 707,125 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(707,125) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(707,125) x common factors =1 x 1 = 1
LCM(707,125) = ( 707 × 125 ) / 1
LCM(707,125) = 88375 / 1
LCM(707,125) = 88375
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 4868/707, 1863/125?
Answer: GCF of Numerators as per given numbers 4868/707, 1863/125 is
GCF of Numerators i.e. for 4868,1863 is 1
LCM of denominators i.e. for 707,125 is 88375.
Thus, GCF of Fractions is 1/88375.Finally, GCF of Fractions for 4868/707, 1863/125 is 1/88375.