Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8563/752,8798/414
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 8563,8798
Greatest Common Factor of Numerators i.e. GCF of 8563,8798 is 1 .
LCM of Denominators means LCM of 752,414 as per the given fractions.
LCM of 752,414 is 155664 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8563,8798
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 8563
List of positive integer factors of 8563 that divides 8563 without a remainder.
1,8563
Factors of 8798
List of positive integer factors of 8798 that divides 8798 without a remainder.
1,2,53,83,106,166,4399,8798
Greatest Common Factor
We found the factors 8563,8798 . The biggest common factor number is the GCF number.
So the greatest common factor 8563,8798 is 1.
Lets's calculate LCM of 752,414
2 | 752, 414 |
376, 207 |
∴ So the LCM of the given numbers is 2 x 376 x 207 = 155664
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/155664
Therefore, the GCF of Fractions 8563/752,8798/414 is 1/155664
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 752,414 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(752,414) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(752,414) x common factors =2 x 1 = 2
LCM(752,414) = ( 752 × 414 ) / 2
LCM(752,414) = 311328 / 2
LCM(752,414) = 155664
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 8563/752, 8798/414?
Answer: GCF of Numerators as per given numbers 8563/752, 8798/414 is
GCF of Numerators i.e. for 8563,8798 is 1
LCM of denominators i.e. for 752,414 is 155664.
Thus, GCF of Fractions is 1/155664.Finally, GCF of Fractions for 8563/752, 8798/414 is 1/155664.