Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6704/434,7205/263
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 6704,7205
Greatest Common Factor of Numerators i.e. GCF of 6704,7205 is 1 .
LCM of Denominators means LCM of 434,263 as per the given fractions.
LCM of 434,263 is 114142 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6704,7205
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 6704
List of positive integer factors of 6704 that divides 6704 without a remainder.
1,2,4,8,16,419,838,1676,3352,6704
Factors of 7205
List of positive integer factors of 7205 that divides 7205 without a remainder.
1,5,11,55,131,655,1441,7205
Greatest Common Factor
We found the factors 6704,7205 . The biggest common factor number is the GCF number.
So the greatest common factor 6704,7205 is 1.
Lets's calculate LCM of 434,263
Given numbers has no common factors except 1. So, there LCM is their product i.e 114142
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/114142
Therefore, the GCF of Fractions 6704/434,7205/263 is 1/114142
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 434,263 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(434,263) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(434,263) x common factors =1 x 1 = 1
LCM(434,263) = ( 434 × 263 ) / 1
LCM(434,263) = 114142 / 1
LCM(434,263) = 114142
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 6704/434, 7205/263?
Answer: GCF of Numerators as per given numbers 6704/434, 7205/263 is
GCF of Numerators i.e. for 6704,7205 is 1
LCM of denominators i.e. for 434,263 is 114142.
Thus, GCF of Fractions is 1/114142.Finally, GCF of Fractions for 6704/434, 7205/263 is 1/114142.