Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 847/43,737/80,167/204
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 847,737,167
Greatest Common Factor of Numerators i.e. GCF of 847,737,167 is 1 .
LCM of Denominators means LCM of 43,80,204 as per the given fractions.
LCM of 43,80,204 is 175440 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 847,737,167
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 847
List of positive integer factors of 847 that divides 847 without a remainder.
1,7,11,77,121,847
Factors of 737
List of positive integer factors of 737 that divides 737 without a remainder.
1,11,67,737
Factors of 167
List of positive integer factors of 167 that divides 167 without a remainder.
1,167
Greatest Common Factor
We found the factors 847,737,167 . The biggest common factor number is the GCF number.
So the greatest common factor 847,737,167 is 1.
Lets's calculate LCM of 43,80,204
2 | 43, 80, 204 |
2 | 43, 40, 102 |
43, 20, 51 |
∴ So the LCM of the given numbers is 2 x 2 x 43 x 20 x 51 = 175440
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/175440
Therefore, the GCF of Fractions 847/43,737/80,167/204 is 1/175440
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 43,80,204 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(43,80,204) = 1
common factors(in case of two or more numbers have common factors) = 4
GCF(43,80,204) x common factors =1 x 4 = 4
LCM(43,80,204) = ( 43 × 80 × 204 ) / 4
LCM(43,80,204) = 701760 / 4
LCM(43,80,204) = 175440
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 847/43, 737/80, 167/204?
Answer: GCF of Numerators as per given numbers 847/43, 737/80, 167/204 is
GCF of Numerators i.e. for 847,737,167 is 1
LCM of denominators i.e. for 43,80,204 is 175440.
Thus, GCF of Fractions is 1/175440.Finally, GCF of Fractions for 847/43, 737/80, 167/204 is 1/175440.