Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 111/85,955/45,942/17
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 111,955,942
Greatest Common Factor of Numerators i.e. GCF of 111,955,942 is 1 .
LCM of Denominators means LCM of 85,45,17 as per the given fractions.
LCM of 85,45,17 is 765 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 111,955,942
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 111
List of positive integer factors of 111 that divides 111 without a remainder.
1,3,37,111
Factors of 955
List of positive integer factors of 955 that divides 955 without a remainder.
1,5,191,955
Factors of 942
List of positive integer factors of 942 that divides 942 without a remainder.
1,2,3,6,157,314,471,942
Greatest Common Factor
We found the factors 111,955,942 . The biggest common factor number is the GCF number.
So the greatest common factor 111,955,942 is 1.
Lets's calculate LCM of 85,45,17
5 | 85, 45, 17 |
17 | 17, 9, 17 |
1, 9, 1 |
∴ So the LCM of the given numbers is 5 x 17 x 1 x 9 x 1 = 765
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/765
Therefore, the GCF of Fractions 111/85,955/45,942/17 is 1/765
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 85,45,17 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(85,45,17) = 1
common factors(in case of two or more numbers have common factors) = 85
GCF(85,45,17) x common factors =1 x 85 = 85
LCM(85,45,17) = ( 85 × 45 × 17 ) / 85
LCM(85,45,17) = 65025 / 85
LCM(85,45,17) = 765
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 111/85, 955/45, 942/17?
Answer: GCF of Numerators as per given numbers 111/85, 955/45, 942/17 is
GCF of Numerators i.e. for 111,955,942 is 1
LCM of denominators i.e. for 85,45,17 is 765.
Thus, GCF of Fractions is 1/765.Finally, GCF of Fractions for 111/85, 955/45, 942/17 is 1/765.