Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 764/2282,911/8684
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 764,911
Greatest Common Factor of Numerators i.e. GCF of 764,911 is 1 .
LCM of Denominators means LCM of 2282,8684 as per the given fractions.
LCM of 2282,8684 is 9908444 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 764,911
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 764
List of positive integer factors of 764 that divides 764 without a remainder.
1,2,4,191,382,764
Factors of 911
List of positive integer factors of 911 that divides 911 without a remainder.
1,911
Greatest Common Factor
We found the factors 764,911 . The biggest common factor number is the GCF number.
So the greatest common factor 764,911 is 1.
Lets's calculate LCM of 2282,8684
2 | 2282, 8684 |
1141, 4342 |
∴ So the LCM of the given numbers is 2 x 1141 x 4342 = 9908444
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9908444
Therefore, the GCF of Fractions 764/2282,911/8684 is 1/9908444
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 2282,8684 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(2282,8684) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(2282,8684) x common factors =2 x 1 = 2
LCM(2282,8684) = ( 2282 × 8684 ) / 2
LCM(2282,8684) = 19816888 / 2
LCM(2282,8684) = 9908444
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 764/2282, 911/8684?
Answer: GCF of Numerators as per given numbers 764/2282, 911/8684 is
GCF of Numerators i.e. for 764,911 is 1
LCM of denominators i.e. for 2282,8684 is 9908444.
Thus, GCF of Fractions is 1/9908444.Finally, GCF of Fractions for 764/2282, 911/8684 is 1/9908444.