Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 89/53,82/94,12/71,610/33
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 89,82,12,610
Greatest Common Factor of Numerators i.e. GCF of 89,82,12,610 is 1 .
LCM of Denominators means LCM of 53,94,71,33 as per the given fractions.
LCM of 53,94,71,33 is 11672826 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 89,82,12,610
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 89
List of positive integer factors of 89 that divides 89 without a remainder.
1,89
Factors of 82
List of positive integer factors of 82 that divides 82 without a remainder.
1,2,41,82
Factors of 12
List of positive integer factors of 12 that divides 12 without a remainder.
1,2,3,4,6,12
Factors of 610
List of positive integer factors of 610 that divides 610 without a remainder.
1,2,5,10,61,122,305,610
Greatest Common Factor
We found the factors 89,82,12,610 . The biggest common factor number is the GCF number.
So the greatest common factor 89,82,12,610 is 1.
Lets's calculate LCM of 53,94,71,33
Given numbers has no common factors except 1. So, there LCM is their product i.e 11672826
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/11672826
Therefore, the GCF of Fractions 89/53,82/94,12/71,610/33 is 1/11672826
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 53,94,71,33 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(53,94,71,33) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(53,94,71,33) x common factors =1 x 1 = 1
LCM(53,94,71,33) = ( 53 × 94 × 71 × 33 ) / 1
LCM(53,94,71,33) = 11672826 / 1
LCM(53,94,71,33) = 11672826
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 89/53, 82/94, 12/71, 610/33?
Answer: GCF of Numerators as per given numbers 89/53, 82/94, 12/71, 610/33 is
GCF of Numerators i.e. for 89,82,12,610 is 1
LCM of denominators i.e. for 53,94,71,33 is 11672826.
Thus, GCF of Fractions is 1/11672826.Finally, GCF of Fractions for 89/53, 82/94, 12/71, 610/33 is 1/11672826.