Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7441/127,8721/251
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 7441,8721
Greatest Common Factor of Numerators i.e. GCF of 7441,8721 is 1 .
LCM of Denominators means LCM of 127,251 as per the given fractions.
LCM of 127,251 is 31877 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7441,8721
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 7441
List of positive integer factors of 7441 that divides 7441 without a remainder.
1,7,1063,7441
Factors of 8721
List of positive integer factors of 8721 that divides 8721 without a remainder.
1,3,9,17,19,27,51,57,153,171,323,459,513,969,2907,8721
Greatest Common Factor
We found the factors 7441,8721 . The biggest common factor number is the GCF number.
So the greatest common factor 7441,8721 is 1.
Lets's calculate LCM of 127,251
Given numbers has no common factors except 1. So, there LCM is their product i.e 31877
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/31877
Therefore, the GCF of Fractions 7441/127,8721/251 is 1/31877
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 127,251 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(127,251) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(127,251) x common factors =1 x 1 = 1
LCM(127,251) = ( 127 × 251 ) / 1
LCM(127,251) = 31877 / 1
LCM(127,251) = 31877
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 7441/127, 8721/251?
Answer: GCF of Numerators as per given numbers 7441/127, 8721/251 is
GCF of Numerators i.e. for 7441,8721 is 1
LCM of denominators i.e. for 127,251 is 31877.
Thus, GCF of Fractions is 1/31877.Finally, GCF of Fractions for 7441/127, 8721/251 is 1/31877.