Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3777/883,5057/4023
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 3777,5057
Greatest Common Factor of Numerators i.e. GCF of 3777,5057 is 1 .
LCM of Denominators means LCM of 883,4023 as per the given fractions.
LCM of 883,4023 is 3552309 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3777,5057
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 3777
List of positive integer factors of 3777 that divides 3777 without a remainder.
1,3,1259,3777
Factors of 5057
List of positive integer factors of 5057 that divides 5057 without a remainder.
1,13,389,5057
Greatest Common Factor
We found the factors 3777,5057 . The biggest common factor number is the GCF number.
So the greatest common factor 3777,5057 is 1.
Lets's calculate LCM of 883,4023
Given numbers has no common factors except 1. So, there LCM is their product i.e 3552309
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3552309
Therefore, the GCF of Fractions 3777/883,5057/4023 is 1/3552309
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 883,4023 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(883,4023) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(883,4023) x common factors =1 x 1 = 1
LCM(883,4023) = ( 883 × 4023 ) / 1
LCM(883,4023) = 3552309 / 1
LCM(883,4023) = 3552309
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 3777/883, 5057/4023?
Answer: GCF of Numerators as per given numbers 3777/883, 5057/4023 is
GCF of Numerators i.e. for 3777,5057 is 1
LCM of denominators i.e. for 883,4023 is 3552309.
Thus, GCF of Fractions is 1/3552309.Finally, GCF of Fractions for 3777/883, 5057/4023 is 1/3552309.