Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3979/107,4910/1880
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 3979,4910
Greatest Common Factor of Numerators i.e. GCF of 3979,4910 is 1 .
LCM of Denominators means LCM of 107,1880 as per the given fractions.
LCM of 107,1880 is 201160 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3979,4910
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 3979
List of positive integer factors of 3979 that divides 3979 without a remainder.
1,23,173,3979
Factors of 4910
List of positive integer factors of 4910 that divides 4910 without a remainder.
1,2,5,10,491,982,2455,4910
Greatest Common Factor
We found the factors 3979,4910 . The biggest common factor number is the GCF number.
So the greatest common factor 3979,4910 is 1.
Lets's calculate LCM of 107,1880
Given numbers has no common factors except 1. So, there LCM is their product i.e 201160
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/201160
Therefore, the GCF of Fractions 3979/107,4910/1880 is 1/201160
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 107,1880 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(107,1880) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(107,1880) x common factors =1 x 1 = 1
LCM(107,1880) = ( 107 × 1880 ) / 1
LCM(107,1880) = 201160 / 1
LCM(107,1880) = 201160
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 3979/107, 4910/1880?
Answer: GCF of Numerators as per given numbers 3979/107, 4910/1880 is
GCF of Numerators i.e. for 3979,4910 is 1
LCM of denominators i.e. for 107,1880 is 201160.
Thus, GCF of Fractions is 1/201160.Finally, GCF of Fractions for 3979/107, 4910/1880 is 1/201160.