Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7813/522,1887/416
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 7813,1887
Greatest Common Factor of Numerators i.e. GCF of 7813,1887 is 1 .
LCM of Denominators means LCM of 522,416 as per the given fractions.
LCM of 522,416 is 108576 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7813,1887
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 7813
List of positive integer factors of 7813 that divides 7813 without a remainder.
1,13,601,7813
Factors of 1887
List of positive integer factors of 1887 that divides 1887 without a remainder.
1,3,17,37,51,111,629,1887
Greatest Common Factor
We found the factors 7813,1887 . The biggest common factor number is the GCF number.
So the greatest common factor 7813,1887 is 1.
Lets's calculate LCM of 522,416
2 | 522, 416 |
261, 208 |
∴ So the LCM of the given numbers is 2 x 261 x 208 = 108576
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/108576
Therefore, the GCF of Fractions 7813/522,1887/416 is 1/108576
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 522,416 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(522,416) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(522,416) x common factors =2 x 1 = 2
LCM(522,416) = ( 522 × 416 ) / 2
LCM(522,416) = 217152 / 2
LCM(522,416) = 108576
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 7813/522, 1887/416?
Answer: GCF of Numerators as per given numbers 7813/522, 1887/416 is
GCF of Numerators i.e. for 7813,1887 is 1
LCM of denominators i.e. for 522,416 is 108576.
Thus, GCF of Fractions is 1/108576.Finally, GCF of Fractions for 7813/522, 1887/416 is 1/108576.