Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5271/93,5357/374
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 5271,5357
Greatest Common Factor of Numerators i.e. GCF of 5271,5357 is 1 .
LCM of Denominators means LCM of 93,374 as per the given fractions.
LCM of 93,374 is 34782 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5271,5357
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 5271
List of positive integer factors of 5271 that divides 5271 without a remainder.
1,3,7,21,251,753,1757,5271
Factors of 5357
List of positive integer factors of 5357 that divides 5357 without a remainder.
1,11,487,5357
Greatest Common Factor
We found the factors 5271,5357 . The biggest common factor number is the GCF number.
So the greatest common factor 5271,5357 is 1.
Lets's calculate LCM of 93,374
Given numbers has no common factors except 1. So, there LCM is their product i.e 34782
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/34782
Therefore, the GCF of Fractions 5271/93,5357/374 is 1/34782
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 93,374 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(93,374) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(93,374) x common factors =1 x 1 = 1
LCM(93,374) = ( 93 × 374 ) / 1
LCM(93,374) = 34782 / 1
LCM(93,374) = 34782
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 5271/93, 5357/374?
Answer: GCF of Numerators as per given numbers 5271/93, 5357/374 is
GCF of Numerators i.e. for 5271,5357 is 1
LCM of denominators i.e. for 93,374 is 34782.
Thus, GCF of Fractions is 1/34782.Finally, GCF of Fractions for 5271/93, 5357/374 is 1/34782.