Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 124/360,3855/7967
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 124,3855
Greatest Common Factor of Numerators i.e. GCF of 124,3855 is 1 .
LCM of Denominators means LCM of 360,7967 as per the given fractions.
LCM of 360,7967 is 2868120 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 124,3855
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 124
List of positive integer factors of 124 that divides 124 without a remainder.
1,2,4,31,62,124
Factors of 3855
List of positive integer factors of 3855 that divides 3855 without a remainder.
1,3,5,15,257,771,1285,3855
Greatest Common Factor
We found the factors 124,3855 . The biggest common factor number is the GCF number.
So the greatest common factor 124,3855 is 1.
Lets's calculate LCM of 360,7967
Given numbers has no common factors except 1. So, there LCM is their product i.e 2868120
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2868120
Therefore, the GCF of Fractions 124/360,3855/7967 is 1/2868120
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 360,7967 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(360,7967) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(360,7967) x common factors =1 x 1 = 1
LCM(360,7967) = ( 360 × 7967 ) / 1
LCM(360,7967) = 2868120 / 1
LCM(360,7967) = 2868120
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 124/360, 3855/7967?
Answer: GCF of Numerators as per given numbers 124/360, 3855/7967 is
GCF of Numerators i.e. for 124,3855 is 1
LCM of denominators i.e. for 360,7967 is 2868120.
Thus, GCF of Fractions is 1/2868120.Finally, GCF of Fractions for 124/360, 3855/7967 is 1/2868120.