Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 805/87,666/8096
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 805,666
Greatest Common Factor of Numerators i.e. GCF of 805,666 is 1 .
LCM of Denominators means LCM of 87,8096 as per the given fractions.
LCM of 87,8096 is 704352 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 805,666
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 805
List of positive integer factors of 805 that divides 805 without a remainder.
1,5,7,23,35,115,161,805
Factors of 666
List of positive integer factors of 666 that divides 666 without a remainder.
1,2,3,6,9,18,37,74,111,222,333,666
Greatest Common Factor
We found the factors 805,666 . The biggest common factor number is the GCF number.
So the greatest common factor 805,666 is 1.
Lets's calculate LCM of 87,8096
Given numbers has no common factors except 1. So, there LCM is their product i.e 704352
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/704352
Therefore, the GCF of Fractions 805/87,666/8096 is 1/704352
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 87,8096 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(87,8096) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(87,8096) x common factors =1 x 1 = 1
LCM(87,8096) = ( 87 × 8096 ) / 1
LCM(87,8096) = 704352 / 1
LCM(87,8096) = 704352
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 805/87, 666/8096?
Answer: GCF of Numerators as per given numbers 805/87, 666/8096 is
GCF of Numerators i.e. for 805,666 is 1
LCM of denominators i.e. for 87,8096 is 704352.
Thus, GCF of Fractions is 1/704352.Finally, GCF of Fractions for 805/87, 666/8096 is 1/704352.