Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 906/810,9383/158
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 906,9383
Greatest Common Factor of Numerators i.e. GCF of 906,9383 is 1 .
LCM of Denominators means LCM of 810,158 as per the given fractions.
LCM of 810,158 is 63990 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 906,9383
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 906
List of positive integer factors of 906 that divides 906 without a remainder.
1,2,3,6,151,302,453,906
Factors of 9383
List of positive integer factors of 9383 that divides 9383 without a remainder.
1,11,853,9383
Greatest Common Factor
We found the factors 906,9383 . The biggest common factor number is the GCF number.
So the greatest common factor 906,9383 is 1.
Lets's calculate LCM of 810,158
2 | 810, 158 |
405, 79 |
∴ So the LCM of the given numbers is 2 x 405 x 79 = 63990
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/63990
Therefore, the GCF of Fractions 906/810,9383/158 is 1/63990
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 810,158 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(810,158) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(810,158) x common factors =2 x 1 = 2
LCM(810,158) = ( 810 × 158 ) / 2
LCM(810,158) = 127980 / 2
LCM(810,158) = 63990
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 906/810, 9383/158?
Answer: GCF of Numerators as per given numbers 906/810, 9383/158 is
GCF of Numerators i.e. for 906,9383 is 1
LCM of denominators i.e. for 810,158 is 63990.
Thus, GCF of Fractions is 1/63990.Finally, GCF of Fractions for 906/810, 9383/158 is 1/63990.