Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8805/955,8918/772
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 8805,8918
Greatest Common Factor of Numerators i.e. GCF of 8805,8918 is 1 .
LCM of Denominators means LCM of 955,772 as per the given fractions.
LCM of 955,772 is 737260 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8805,8918
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 8805
List of positive integer factors of 8805 that divides 8805 without a remainder.
1,3,5,15,587,1761,2935,8805
Factors of 8918
List of positive integer factors of 8918 that divides 8918 without a remainder.
1,2,7,13,14,26,49,91,98,182,343,637,686,1274,4459,8918
Greatest Common Factor
We found the factors 8805,8918 . The biggest common factor number is the GCF number.
So the greatest common factor 8805,8918 is 1.
Lets's calculate LCM of 955,772
Given numbers has no common factors except 1. So, there LCM is their product i.e 737260
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/737260
Therefore, the GCF of Fractions 8805/955,8918/772 is 1/737260
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 955,772 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(955,772) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(955,772) x common factors =1 x 1 = 1
LCM(955,772) = ( 955 × 772 ) / 1
LCM(955,772) = 737260 / 1
LCM(955,772) = 737260
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 8805/955, 8918/772?
Answer: GCF of Numerators as per given numbers 8805/955, 8918/772 is
GCF of Numerators i.e. for 8805,8918 is 1
LCM of denominators i.e. for 955,772 is 737260.
Thus, GCF of Fractions is 1/737260.Finally, GCF of Fractions for 8805/955, 8918/772 is 1/737260.