Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 80/64,14/16,843/772
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 80,14,843
Greatest Common Factor of Numerators i.e. GCF of 80,14,843 is 1 .
LCM of Denominators means LCM of 64,16,772 as per the given fractions.
LCM of 64,16,772 is 12352 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 80,14,843
∴ 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 14
List of positive integer factors of 14 that divides 14 without a remainder.
1,2,7,14
Factors of 843
List of positive integer factors of 843 that divides 843 without a remainder.
1,3,281,843
Greatest Common Factor
We found the factors 80,14,843 . The biggest common factor number is the GCF number.
So the greatest common factor 80,14,843 is 1.
Lets's calculate LCM of 64,16,772
2 | 64, 16, 772 |
2 | 32, 8, 386 |
2 | 16, 4, 193 |
2 | 8, 2, 193 |
4, 1, 193 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 4 x 1 x 193 = 12352
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/12352
Therefore, the GCF of Fractions 80/64,14/16,843/772 is 1/12352
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 64,16,772 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(64,16,772) = 4
common factors(in case of two or more numbers have common factors) = 16
GCF(64,16,772) x common factors =4 x 16 = 64
LCM(64,16,772) = ( 64 × 16 × 772 ) / 64
LCM(64,16,772) = 790528 / 64
LCM(64,16,772) = 12352
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 80/64, 14/16, 843/772?
Answer: GCF of Numerators as per given numbers 80/64, 14/16, 843/772 is
GCF of Numerators i.e. for 80,14,843 is 1
LCM of denominators i.e. for 64,16,772 is 12352.
Thus, GCF of Fractions is 1/12352.Finally, GCF of Fractions for 80/64, 14/16, 843/772 is 1/12352.