Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1254/85,9917/971
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 1254,9917
Greatest Common Factor of Numerators i.e. GCF of 1254,9917 is 1 .
LCM of Denominators means LCM of 85,971 as per the given fractions.
LCM of 85,971 is 82535 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1254,9917
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 1254
List of positive integer factors of 1254 that divides 1254 without a remainder.
1,2,3,6,11,19,22,33,38,57,66,114,209,418,627,1254
Factors of 9917
List of positive integer factors of 9917 that divides 9917 without a remainder.
1,47,211,9917
Greatest Common Factor
We found the factors 1254,9917 . The biggest common factor number is the GCF number.
So the greatest common factor 1254,9917 is 1.
Lets's calculate LCM of 85,971
Given numbers has no common factors except 1. So, there LCM is their product i.e 82535
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/82535
Therefore, the GCF of Fractions 1254/85,9917/971 is 1/82535
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 85,971 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(85,971) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(85,971) x common factors =1 x 1 = 1
LCM(85,971) = ( 85 × 971 ) / 1
LCM(85,971) = 82535 / 1
LCM(85,971) = 82535
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 1254/85, 9917/971?
Answer: GCF of Numerators as per given numbers 1254/85, 9917/971 is
GCF of Numerators i.e. for 1254,9917 is 1
LCM of denominators i.e. for 85,971 is 82535.
Thus, GCF of Fractions is 1/82535.Finally, GCF of Fractions for 1254/85, 9917/971 is 1/82535.