Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5185/87,8711/844
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 5185,8711
Greatest Common Factor of Numerators i.e. GCF of 5185,8711 is 1 .
LCM of Denominators means LCM of 87,844 as per the given fractions.
LCM of 87,844 is 73428 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5185,8711
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 5185
List of positive integer factors of 5185 that divides 5185 without a remainder.
1,5,17,61,85,305,1037,5185
Factors of 8711
List of positive integer factors of 8711 that divides 8711 without a remainder.
1,31,281,8711
Greatest Common Factor
We found the factors 5185,8711 . The biggest common factor number is the GCF number.
So the greatest common factor 5185,8711 is 1.
Lets's calculate LCM of 87,844
Given numbers has no common factors except 1. So, there LCM is their product i.e 73428
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/73428
Therefore, the GCF of Fractions 5185/87,8711/844 is 1/73428
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 87,844 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(87,844) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(87,844) x common factors =1 x 1 = 1
LCM(87,844) = ( 87 × 844 ) / 1
LCM(87,844) = 73428 / 1
LCM(87,844) = 73428
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 5185/87, 8711/844?
Answer: GCF of Numerators as per given numbers 5185/87, 8711/844 is
GCF of Numerators i.e. for 5185,8711 is 1
LCM of denominators i.e. for 87,844 is 73428.
Thus, GCF of Fractions is 1/73428.Finally, GCF of Fractions for 5185/87, 8711/844 is 1/73428.