Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5287/68,1047/691
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 5287,1047
Greatest Common Factor of Numerators i.e. GCF of 5287,1047 is 1 .
LCM of Denominators means LCM of 68,691 as per the given fractions.
LCM of 68,691 is 46988 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5287,1047
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 5287
List of positive integer factors of 5287 that divides 5287 without a remainder.
1,17,311,5287
Factors of 1047
List of positive integer factors of 1047 that divides 1047 without a remainder.
1,3,349,1047
Greatest Common Factor
We found the factors 5287,1047 . The biggest common factor number is the GCF number.
So the greatest common factor 5287,1047 is 1.
Lets's calculate LCM of 68,691
Given numbers has no common factors except 1. So, there LCM is their product i.e 46988
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/46988
Therefore, the GCF of Fractions 5287/68,1047/691 is 1/46988
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 68,691 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(68,691) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(68,691) x common factors =1 x 1 = 1
LCM(68,691) = ( 68 × 691 ) / 1
LCM(68,691) = 46988 / 1
LCM(68,691) = 46988
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 5287/68, 1047/691?
Answer: GCF of Numerators as per given numbers 5287/68, 1047/691 is
GCF of Numerators i.e. for 5287,1047 is 1
LCM of denominators i.e. for 68,691 is 46988.
Thus, GCF of Fractions is 1/46988.Finally, GCF of Fractions for 5287/68, 1047/691 is 1/46988.