Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8746/448,7175/8218
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 8746,7175
Greatest Common Factor of Numerators i.e. GCF of 8746,7175 is 1 .
LCM of Denominators means LCM of 448,8218 as per the given fractions.
LCM of 448,8218 is 262976 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8746,7175
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 8746
List of positive integer factors of 8746 that divides 8746 without a remainder.
1,2,4373,8746
Factors of 7175
List of positive integer factors of 7175 that divides 7175 without a remainder.
1,5,7,25,35,41,175,205,287,1025,1435,7175
Greatest Common Factor
We found the factors 8746,7175 . The biggest common factor number is the GCF number.
So the greatest common factor 8746,7175 is 1.
Lets's calculate LCM of 448,8218
2 | 448, 8218 |
7 | 224, 4109 |
32, 587 |
∴ So the LCM of the given numbers is 2 x 7 x 32 x 587 = 262976
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/262976
Therefore, the GCF of Fractions 8746/448,7175/8218 is 1/262976
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 448,8218 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(448,8218) = 14
common factors(in case of two or more numbers have common factors) = 1
GCF(448,8218) x common factors =14 x 1 = 14
LCM(448,8218) = ( 448 × 8218 ) / 14
LCM(448,8218) = 3681664 / 14
LCM(448,8218) = 262976
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 8746/448, 7175/8218?
Answer: GCF of Numerators as per given numbers 8746/448, 7175/8218 is
GCF of Numerators i.e. for 8746,7175 is 1
LCM of denominators i.e. for 448,8218 is 262976.
Thus, GCF of Fractions is 1/262976.Finally, GCF of Fractions for 8746/448, 7175/8218 is 1/262976.