Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8157/930,3448/585
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 8157,3448
Greatest Common Factor of Numerators i.e. GCF of 8157,3448 is 1 .
LCM of Denominators means LCM of 930,585 as per the given fractions.
LCM of 930,585 is 36270 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8157,3448
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 8157
List of positive integer factors of 8157 that divides 8157 without a remainder.
1,3,2719,8157
Factors of 3448
List of positive integer factors of 3448 that divides 3448 without a remainder.
1,2,4,8,431,862,1724,3448
Greatest Common Factor
We found the factors 8157,3448 . The biggest common factor number is the GCF number.
So the greatest common factor 8157,3448 is 1.
Lets's calculate LCM of 930,585
3 | 930, 585 |
5 | 310, 195 |
62, 39 |
∴ So the LCM of the given numbers is 3 x 5 x 62 x 39 = 36270
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/36270
Therefore, the GCF of Fractions 8157/930,3448/585 is 1/36270
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 930,585 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(930,585) = 15
common factors(in case of two or more numbers have common factors) = 1
GCF(930,585) x common factors =15 x 1 = 15
LCM(930,585) = ( 930 × 585 ) / 15
LCM(930,585) = 544050 / 15
LCM(930,585) = 36270
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 8157/930, 3448/585?
Answer: GCF of Numerators as per given numbers 8157/930, 3448/585 is
GCF of Numerators i.e. for 8157,3448 is 1
LCM of denominators i.e. for 930,585 is 36270.
Thus, GCF of Fractions is 1/36270.Finally, GCF of Fractions for 8157/930, 3448/585 is 1/36270.