Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 97/77,66/55,841/11
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 97,66,841
Greatest Common Factor of Numerators i.e. GCF of 97,66,841 is 1 .
LCM of Denominators means LCM of 77,55,11 as per the given fractions.
LCM of 77,55,11 is 385 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 97,66,841
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 97
List of positive integer factors of 97 that divides 97 without a remainder.
1,97
Factors of 66
List of positive integer factors of 66 that divides 66 without a remainder.
1,2,3,6,11,22,33,66
Factors of 841
List of positive integer factors of 841 that divides 841 without a remainder.
1,29,841
Greatest Common Factor
We found the factors 97,66,841 . The biggest common factor number is the GCF number.
So the greatest common factor 97,66,841 is 1.
Lets's calculate LCM of 77,55,11
11 | 77, 55, 11 |
7, 5, 1 |
∴ So the LCM of the given numbers is 11 x 7 x 5 x 1 = 385
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/385
Therefore, the GCF of Fractions 97/77,66/55,841/11 is 1/385
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 77,55,11 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(77,55,11) = 11
common factors(in case of two or more numbers have common factors) = 11
GCF(77,55,11) x common factors =11 x 11 = 121
LCM(77,55,11) = ( 77 × 55 × 11 ) / 121
LCM(77,55,11) = 46585 / 121
LCM(77,55,11) = 385
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 97/77, 66/55, 841/11?
Answer: GCF of Numerators as per given numbers 97/77, 66/55, 841/11 is
GCF of Numerators i.e. for 97,66,841 is 1
LCM of denominators i.e. for 77,55,11 is 385.
Thus, GCF of Fractions is 1/385.Finally, GCF of Fractions for 97/77, 66/55, 841/11 is 1/385.