Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 94/920,8767/3866
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 94,8767
Greatest Common Factor of Numerators i.e. GCF of 94,8767 is 1 .
LCM of Denominators means LCM of 920,3866 as per the given fractions.
LCM of 920,3866 is 1778360 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 94,8767
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 94
List of positive integer factors of 94 that divides 94 without a remainder.
1,2,47,94
Factors of 8767
List of positive integer factors of 8767 that divides 8767 without a remainder.
1,11,797,8767
Greatest Common Factor
We found the factors 94,8767 . The biggest common factor number is the GCF number.
So the greatest common factor 94,8767 is 1.
Lets's calculate LCM of 920,3866
2 | 920, 3866 |
460, 1933 |
∴ So the LCM of the given numbers is 2 x 460 x 1933 = 1778360
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1778360
Therefore, the GCF of Fractions 94/920,8767/3866 is 1/1778360
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 920,3866 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(920,3866) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(920,3866) x common factors =2 x 1 = 2
LCM(920,3866) = ( 920 × 3866 ) / 2
LCM(920,3866) = 3556720 / 2
LCM(920,3866) = 1778360
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 94/920, 8767/3866?
Answer: GCF of Numerators as per given numbers 94/920, 8767/3866 is
GCF of Numerators i.e. for 94,8767 is 1
LCM of denominators i.e. for 920,3866 is 1778360.
Thus, GCF of Fractions is 1/1778360.Finally, GCF of Fractions for 94/920, 8767/3866 is 1/1778360.