Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 602/884,1075/843
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 602,1075
Greatest Common Factor of Numerators i.e. GCF of 602,1075 is 43 .
LCM of Denominators means LCM of 884,843 as per the given fractions.
LCM of 884,843 is 745212 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 602,1075
43 | 602, 1075 |
14, 25 |
∴ So the GCF of the given numbers is 43 = 43
Factors of 602
List of positive integer factors of 602 that divides 602 without a remainder.
1,2,7,14,43,86,301,602
Factors of 1075
List of positive integer factors of 1075 that divides 1075 without a remainder.
1,5,25,43,215,1075
Greatest Common Factor
We found the factors 602,1075 . The biggest common factor number is the GCF number.
So the greatest common factor 602,1075 is 43.
Lets's calculate LCM of 884,843
Given numbers has no common factors except 1. So, there LCM is their product i.e 745212
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 43/745212
Therefore, the GCF of Fractions 602/884,1075/843 is 43/745212
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 884,843 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(884,843) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(884,843) x common factors =1 x 1 = 1
LCM(884,843) = ( 884 × 843 ) / 1
LCM(884,843) = 745212 / 1
LCM(884,843) = 745212
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 602/884, 1075/843?
Answer: GCF of Numerators as per given numbers 602/884, 1075/843 is
GCF of Numerators i.e. for 602,1075 is 43
LCM of denominators i.e. for 884,843 is 745212.
Thus, GCF of Fractions is 43/745212.Finally, GCF of Fractions for 602/884, 1075/843 is 43/745212.