Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8855/118,7679/979
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 8855,7679
Greatest Common Factor of Numerators i.e. GCF of 8855,7679 is 7 .
LCM of Denominators means LCM of 118,979 as per the given fractions.
LCM of 118,979 is 115522 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8855,7679
7 | 8855, 7679 |
1265, 1097 |
∴ So the GCF of the given numbers is 7 = 7
Factors of 8855
List of positive integer factors of 8855 that divides 8855 without a remainder.
1,5,7,11,23,35,55,77,115,161,253,385,805,1265,1771,8855
Factors of 7679
List of positive integer factors of 7679 that divides 7679 without a remainder.
1,7,1097,7679
Greatest Common Factor
We found the factors 8855,7679 . The biggest common factor number is the GCF number.
So the greatest common factor 8855,7679 is 7.
Lets's calculate LCM of 118,979
Given numbers has no common factors except 1. So, there LCM is their product i.e 115522
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/115522
Therefore, the GCF of Fractions 8855/118,7679/979 is 7/115522
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 118,979 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(118,979) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(118,979) x common factors =1 x 1 = 1
LCM(118,979) = ( 118 × 979 ) / 1
LCM(118,979) = 115522 / 1
LCM(118,979) = 115522
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 8855/118, 7679/979?
Answer: GCF of Numerators as per given numbers 8855/118, 7679/979 is
GCF of Numerators i.e. for 8855,7679 is 7
LCM of denominators i.e. for 118,979 is 115522.
Thus, GCF of Fractions is 7/115522.Finally, GCF of Fractions for 8855/118, 7679/979 is 7/115522.