Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3451/328,7264/853
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 3451,7264
Greatest Common Factor of Numerators i.e. GCF of 3451,7264 is 1 .
LCM of Denominators means LCM of 328,853 as per the given fractions.
LCM of 328,853 is 279784 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3451,7264
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 3451
List of positive integer factors of 3451 that divides 3451 without a remainder.
1,7,17,29,119,203,493,3451
Factors of 7264
List of positive integer factors of 7264 that divides 7264 without a remainder.
1,2,4,8,16,32,227,454,908,1816,3632,7264
Greatest Common Factor
We found the factors 3451,7264 . The biggest common factor number is the GCF number.
So the greatest common factor 3451,7264 is 1.
Lets's calculate LCM of 328,853
Given numbers has no common factors except 1. So, there LCM is their product i.e 279784
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/279784
Therefore, the GCF of Fractions 3451/328,7264/853 is 1/279784
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 328,853 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(328,853) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(328,853) x common factors =1 x 1 = 1
LCM(328,853) = ( 328 × 853 ) / 1
LCM(328,853) = 279784 / 1
LCM(328,853) = 279784
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 3451/328, 7264/853?
Answer: GCF of Numerators as per given numbers 3451/328, 7264/853 is
GCF of Numerators i.e. for 3451,7264 is 1
LCM of denominators i.e. for 328,853 is 279784.
Thus, GCF of Fractions is 1/279784.Finally, GCF of Fractions for 3451/328, 7264/853 is 1/279784.