Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8482/825,8450/7667
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 8482,8450
Greatest Common Factor of Numerators i.e. GCF of 8482,8450 is 2 .
LCM of Denominators means LCM of 825,7667 as per the given fractions.
LCM of 825,7667 is 575025 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8482,8450
2 | 8482, 8450 |
4241, 4225 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 8482
List of positive integer factors of 8482 that divides 8482 without a remainder.
1,2,4241,8482
Factors of 8450
List of positive integer factors of 8450 that divides 8450 without a remainder.
1,2,5,10,13,25,26,50,65,130,169,325,338,650,845,1690,4225,8450
Greatest Common Factor
We found the factors 8482,8450 . The biggest common factor number is the GCF number.
So the greatest common factor 8482,8450 is 2.
Lets's calculate LCM of 825,7667
11 | 825, 7667 |
75, 697 |
∴ So the LCM of the given numbers is 11 x 75 x 697 = 575025
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/575025
Therefore, the GCF of Fractions 8482/825,8450/7667 is 2/575025
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 825,7667 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(825,7667) = 11
common factors(in case of two or more numbers have common factors) = 1
GCF(825,7667) x common factors =11 x 1 = 11
LCM(825,7667) = ( 825 × 7667 ) / 11
LCM(825,7667) = 6325275 / 11
LCM(825,7667) = 575025
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 8482/825, 8450/7667?
Answer: GCF of Numerators as per given numbers 8482/825, 8450/7667 is
GCF of Numerators i.e. for 8482,8450 is 2
LCM of denominators i.e. for 825,7667 is 575025.
Thus, GCF of Fractions is 2/575025.Finally, GCF of Fractions for 8482/825, 8450/7667 is 2/575025.