Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 828/447,9763/9142
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 828,9763
Greatest Common Factor of Numerators i.e. GCF of 828,9763 is 1 .
LCM of Denominators means LCM of 447,9142 as per the given fractions.
LCM of 447,9142 is 4086474 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 828,9763
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 828
List of positive integer factors of 828 that divides 828 without a remainder.
1,2,3,4,6,9,12,18,23,36,46,69,92,138,207,276,414,828
Factors of 9763
List of positive integer factors of 9763 that divides 9763 without a remainder.
1,13,751,9763
Greatest Common Factor
We found the factors 828,9763 . The biggest common factor number is the GCF number.
So the greatest common factor 828,9763 is 1.
Lets's calculate LCM of 447,9142
Given numbers has no common factors except 1. So, there LCM is their product i.e 4086474
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4086474
Therefore, the GCF of Fractions 828/447,9763/9142 is 1/4086474
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 447,9142 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(447,9142) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(447,9142) x common factors =1 x 1 = 1
LCM(447,9142) = ( 447 × 9142 ) / 1
LCM(447,9142) = 4086474 / 1
LCM(447,9142) = 4086474
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 828/447, 9763/9142?
Answer: GCF of Numerators as per given numbers 828/447, 9763/9142 is
GCF of Numerators i.e. for 828,9763 is 1
LCM of denominators i.e. for 447,9142 is 4086474.
Thus, GCF of Fractions is 1/4086474.Finally, GCF of Fractions for 828/447, 9763/9142 is 1/4086474.