Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 43/105,82/636,117/993
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 43,82,117
Greatest Common Factor of Numerators i.e. GCF of 43,82,117 is 1 .
LCM of Denominators means LCM of 105,636,993 as per the given fractions.
LCM of 105,636,993 is 7368060 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 43,82,117
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 43
List of positive integer factors of 43 that divides 43 without a remainder.
1,43
Factors of 82
List of positive integer factors of 82 that divides 82 without a remainder.
1,2,41,82
Factors of 117
List of positive integer factors of 117 that divides 117 without a remainder.
1,3,9,13,39,117
Greatest Common Factor
We found the factors 43,82,117 . The biggest common factor number is the GCF number.
So the greatest common factor 43,82,117 is 1.
Lets's calculate LCM of 105,636,993
3 | 105, 636, 993 |
35, 212, 331 |
∴ So the LCM of the given numbers is 3 x 35 x 212 x 331 = 7368060
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7368060
Therefore, the GCF of Fractions 43/105,82/636,117/993 is 1/7368060
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 105,636,993 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(105,636,993) = 3
common factors(in case of two or more numbers have common factors) = 3
GCF(105,636,993) x common factors =3 x 3 = 9
LCM(105,636,993) = ( 105 × 636 × 993 ) / 9
LCM(105,636,993) = 66312540 / 9
LCM(105,636,993) = 7368060
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 43/105, 82/636, 117/993?
Answer: GCF of Numerators as per given numbers 43/105, 82/636, 117/993 is
GCF of Numerators i.e. for 43,82,117 is 1
LCM of denominators i.e. for 105,636,993 is 7368060.
Thus, GCF of Fractions is 1/7368060.Finally, GCF of Fractions for 43/105, 82/636, 117/993 is 1/7368060.