Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 871/87,943/8263
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 871,943
Greatest Common Factor of Numerators i.e. GCF of 871,943 is 1 .
LCM of Denominators means LCM of 87,8263 as per the given fractions.
LCM of 87,8263 is 718881 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 871,943
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 871
List of positive integer factors of 871 that divides 871 without a remainder.
1,13,67,871
Factors of 943
List of positive integer factors of 943 that divides 943 without a remainder.
1,23,41,943
Greatest Common Factor
We found the factors 871,943 . The biggest common factor number is the GCF number.
So the greatest common factor 871,943 is 1.
Lets's calculate LCM of 87,8263
Given numbers has no common factors except 1. So, there LCM is their product i.e 718881
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/718881
Therefore, the GCF of Fractions 871/87,943/8263 is 1/718881
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 87,8263 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(87,8263) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(87,8263) x common factors =1 x 1 = 1
LCM(87,8263) = ( 87 × 8263 ) / 1
LCM(87,8263) = 718881 / 1
LCM(87,8263) = 718881
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 871/87, 943/8263?
Answer: GCF of Numerators as per given numbers 871/87, 943/8263 is
GCF of Numerators i.e. for 871,943 is 1
LCM of denominators i.e. for 87,8263 is 718881.
Thus, GCF of Fractions is 1/718881.Finally, GCF of Fractions for 871/87, 943/8263 is 1/718881.