Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8638/642,7375/976
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 8638,7375
Greatest Common Factor of Numerators i.e. GCF of 8638,7375 is 1 .
LCM of Denominators means LCM of 642,976 as per the given fractions.
LCM of 642,976 is 313296 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8638,7375
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 8638
List of positive integer factors of 8638 that divides 8638 without a remainder.
1,2,7,14,617,1234,4319,8638
Factors of 7375
List of positive integer factors of 7375 that divides 7375 without a remainder.
1,5,25,59,125,295,1475,7375
Greatest Common Factor
We found the factors 8638,7375 . The biggest common factor number is the GCF number.
So the greatest common factor 8638,7375 is 1.
Lets's calculate LCM of 642,976
2 | 642, 976 |
321, 488 |
∴ So the LCM of the given numbers is 2 x 321 x 488 = 313296
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/313296
Therefore, the GCF of Fractions 8638/642,7375/976 is 1/313296
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 642,976 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(642,976) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(642,976) x common factors =2 x 1 = 2
LCM(642,976) = ( 642 × 976 ) / 2
LCM(642,976) = 626592 / 2
LCM(642,976) = 313296
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 8638/642, 7375/976?
Answer: GCF of Numerators as per given numbers 8638/642, 7375/976 is
GCF of Numerators i.e. for 8638,7375 is 1
LCM of denominators i.e. for 642,976 is 313296.
Thus, GCF of Fractions is 1/313296.Finally, GCF of Fractions for 8638/642, 7375/976 is 1/313296.