Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1214/44,7330/517
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 1214,7330
Greatest Common Factor of Numerators i.e. GCF of 1214,7330 is 2 .
LCM of Denominators means LCM of 44,517 as per the given fractions.
LCM of 44,517 is 2068 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1214,7330
2 | 1214, 7330 |
607, 3665 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 1214
List of positive integer factors of 1214 that divides 1214 without a remainder.
1,2,607,1214
Factors of 7330
List of positive integer factors of 7330 that divides 7330 without a remainder.
1,2,5,10,733,1466,3665,7330
Greatest Common Factor
We found the factors 1214,7330 . The biggest common factor number is the GCF number.
So the greatest common factor 1214,7330 is 2.
Lets's calculate LCM of 44,517
11 | 44, 517 |
4, 47 |
∴ So the LCM of the given numbers is 11 x 4 x 47 = 2068
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2068
Therefore, the GCF of Fractions 1214/44,7330/517 is 2/2068
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 44,517 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(44,517) = 11
common factors(in case of two or more numbers have common factors) = 1
GCF(44,517) x common factors =11 x 1 = 11
LCM(44,517) = ( 44 × 517 ) / 11
LCM(44,517) = 22748 / 11
LCM(44,517) = 2068
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 1214/44, 7330/517?
Answer: GCF of Numerators as per given numbers 1214/44, 7330/517 is
GCF of Numerators i.e. for 1214,7330 is 2
LCM of denominators i.e. for 44,517 is 2068.
Thus, GCF of Fractions is 2/2068.Finally, GCF of Fractions for 1214/44, 7330/517 is 2/2068.