Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8789/879,1917/104
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 8789,1917
Greatest Common Factor of Numerators i.e. GCF of 8789,1917 is 1 .
LCM of Denominators means LCM of 879,104 as per the given fractions.
LCM of 879,104 is 91416 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8789,1917
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 8789
List of positive integer factors of 8789 that divides 8789 without a remainder.
1,11,17,47,187,517,799,8789
Factors of 1917
List of positive integer factors of 1917 that divides 1917 without a remainder.
1,3,9,27,71,213,639,1917
Greatest Common Factor
We found the factors 8789,1917 . The biggest common factor number is the GCF number.
So the greatest common factor 8789,1917 is 1.
Lets's calculate LCM of 879,104
Given numbers has no common factors except 1. So, there LCM is their product i.e 91416
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/91416
Therefore, the GCF of Fractions 8789/879,1917/104 is 1/91416
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 879,104 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(879,104) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(879,104) x common factors =1 x 1 = 1
LCM(879,104) = ( 879 × 104 ) / 1
LCM(879,104) = 91416 / 1
LCM(879,104) = 91416
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 8789/879, 1917/104?
Answer: GCF of Numerators as per given numbers 8789/879, 1917/104 is
GCF of Numerators i.e. for 8789,1917 is 1
LCM of denominators i.e. for 879,104 is 91416.
Thus, GCF of Fractions is 1/91416.Finally, GCF of Fractions for 8789/879, 1917/104 is 1/91416.