Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 80/18,95/13,862/717
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 80,95,862
Greatest Common Factor of Numerators i.e. GCF of 80,95,862 is 1 .
LCM of Denominators means LCM of 18,13,717 as per the given fractions.
LCM of 18,13,717 is 55926 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 80,95,862
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 80
List of positive integer factors of 80 that divides 80 without a remainder.
1,2,4,5,8,10,16,20,40,80
Factors of 95
List of positive integer factors of 95 that divides 95 without a remainder.
1,5,19,95
Factors of 862
List of positive integer factors of 862 that divides 862 without a remainder.
1,2,431,862
Greatest Common Factor
We found the factors 80,95,862 . The biggest common factor number is the GCF number.
So the greatest common factor 80,95,862 is 1.
Lets's calculate LCM of 18,13,717
3 | 18, 13, 717 |
6, 13, 239 |
∴ So the LCM of the given numbers is 3 x 6 x 13 x 239 = 55926
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/55926
Therefore, the GCF of Fractions 80/18,95/13,862/717 is 1/55926
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 18,13,717 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(18,13,717) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(18,13,717) x common factors =1 x 3 = 3
LCM(18,13,717) = ( 18 × 13 × 717 ) / 3
LCM(18,13,717) = 167778 / 3
LCM(18,13,717) = 55926
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 80/18, 95/13, 862/717?
Answer: GCF of Numerators as per given numbers 80/18, 95/13, 862/717 is
GCF of Numerators i.e. for 80,95,862 is 1
LCM of denominators i.e. for 18,13,717 is 55926.
Thus, GCF of Fractions is 1/55926.Finally, GCF of Fractions for 80/18, 95/13, 862/717 is 1/55926.