Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8395/77,4638/166
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 8395,4638
Greatest Common Factor of Numerators i.e. GCF of 8395,4638 is 1 .
LCM of Denominators means LCM of 77,166 as per the given fractions.
LCM of 77,166 is 12782 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8395,4638
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 8395
List of positive integer factors of 8395 that divides 8395 without a remainder.
1,5,23,73,115,365,1679,8395
Factors of 4638
List of positive integer factors of 4638 that divides 4638 without a remainder.
1,2,3,6,773,1546,2319,4638
Greatest Common Factor
We found the factors 8395,4638 . The biggest common factor number is the GCF number.
So the greatest common factor 8395,4638 is 1.
Lets's calculate LCM of 77,166
Given numbers has no common factors except 1. So, there LCM is their product i.e 12782
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/12782
Therefore, the GCF of Fractions 8395/77,4638/166 is 1/12782
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 77,166 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(77,166) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(77,166) x common factors =1 x 1 = 1
LCM(77,166) = ( 77 × 166 ) / 1
LCM(77,166) = 12782 / 1
LCM(77,166) = 12782
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 8395/77, 4638/166?
Answer: GCF of Numerators as per given numbers 8395/77, 4638/166 is
GCF of Numerators i.e. for 8395,4638 is 1
LCM of denominators i.e. for 77,166 is 12782.
Thus, GCF of Fractions is 1/12782.Finally, GCF of Fractions for 8395/77, 4638/166 is 1/12782.