Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8/11,8/41,72/40,97/889
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 8,8,72,97
Greatest Common Factor of Numerators i.e. GCF of 8,8,72,97 is 1 .
LCM of Denominators means LCM of 11,41,40,889 as per the given fractions.
LCM of 11,41,40,889 is 16037560 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8,8,72,97
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 8
List of positive integer factors of 8 that divides 8 without a remainder.
1,2,4,8
Factors of 8
List of positive integer factors of 8 that divides 8 without a remainder.
1,2,4,8
Factors of 72
List of positive integer factors of 72 that divides 72 without a remainder.
1,2,3,4,6,8,9,12,18,24,36,72
Factors of 97
List of positive integer factors of 97 that divides 97 without a remainder.
1,97
Greatest Common Factor
We found the factors 8,8,72,97 . The biggest common factor number is the GCF number.
So the greatest common factor 8,8,72,97 is 1.
Lets's calculate LCM of 11,41,40,889
Given numbers has no common factors except 1. So, there LCM is their product i.e 16037560
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/16037560
Therefore, the GCF of Fractions 8/11,8/41,72/40,97/889 is 1/16037560
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 11,41,40,889 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(11,41,40,889) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(11,41,40,889) x common factors =1 x 1 = 1
LCM(11,41,40,889) = ( 11 × 41 × 40 × 889 ) / 1
LCM(11,41,40,889) = 16037560 / 1
LCM(11,41,40,889) = 16037560
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 8/11, 8/41, 72/40, 97/889?
Answer: GCF of Numerators as per given numbers 8/11, 8/41, 72/40, 97/889 is
GCF of Numerators i.e. for 8,8,72,97 is 1
LCM of denominators i.e. for 11,41,40,889 is 16037560.
Thus, GCF of Fractions is 1/16037560.Finally, GCF of Fractions for 8/11, 8/41, 72/40, 97/889 is 1/16037560.