Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 271/63,917/3742
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 271,917
Greatest Common Factor of Numerators i.e. GCF of 271,917 is 1 .
LCM of Denominators means LCM of 63,3742 as per the given fractions.
LCM of 63,3742 is 235746 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 271,917
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 271
List of positive integer factors of 271 that divides 271 without a remainder.
1,271
Factors of 917
List of positive integer factors of 917 that divides 917 without a remainder.
1,7,131,917
Greatest Common Factor
We found the factors 271,917 . The biggest common factor number is the GCF number.
So the greatest common factor 271,917 is 1.
Lets's calculate LCM of 63,3742
Given numbers has no common factors except 1. So, there LCM is their product i.e 235746
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/235746
Therefore, the GCF of Fractions 271/63,917/3742 is 1/235746
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 63,3742 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(63,3742) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(63,3742) x common factors =1 x 1 = 1
LCM(63,3742) = ( 63 × 3742 ) / 1
LCM(63,3742) = 235746 / 1
LCM(63,3742) = 235746
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 271/63, 917/3742?
Answer: GCF of Numerators as per given numbers 271/63, 917/3742 is
GCF of Numerators i.e. for 271,917 is 1
LCM of denominators i.e. for 63,3742 is 235746.
Thus, GCF of Fractions is 1/235746.Finally, GCF of Fractions for 271/63, 917/3742 is 1/235746.