Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 381/734,3127/121
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 381,3127
Greatest Common Factor of Numerators i.e. GCF of 381,3127 is 1 .
LCM of Denominators means LCM of 734,121 as per the given fractions.
LCM of 734,121 is 88814 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 381,3127
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 381
List of positive integer factors of 381 that divides 381 without a remainder.
1,3,127,381
Factors of 3127
List of positive integer factors of 3127 that divides 3127 without a remainder.
1,53,59,3127
Greatest Common Factor
We found the factors 381,3127 . The biggest common factor number is the GCF number.
So the greatest common factor 381,3127 is 1.
Lets's calculate LCM of 734,121
Given numbers has no common factors except 1. So, there LCM is their product i.e 88814
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/88814
Therefore, the GCF of Fractions 381/734,3127/121 is 1/88814
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 734,121 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(734,121) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(734,121) x common factors =1 x 1 = 1
LCM(734,121) = ( 734 × 121 ) / 1
LCM(734,121) = 88814 / 1
LCM(734,121) = 88814
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 381/734, 3127/121?
Answer: GCF of Numerators as per given numbers 381/734, 3127/121 is
GCF of Numerators i.e. for 381,3127 is 1
LCM of denominators i.e. for 734,121 is 88814.
Thus, GCF of Fractions is 1/88814.Finally, GCF of Fractions for 381/734, 3127/121 is 1/88814.