Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8441/56,6904/453
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 8441,6904
Greatest Common Factor of Numerators i.e. GCF of 8441,6904 is 1 .
LCM of Denominators means LCM of 56,453 as per the given fractions.
LCM of 56,453 is 25368 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8441,6904
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 8441
List of positive integer factors of 8441 that divides 8441 without a remainder.
1,23,367,8441
Factors of 6904
List of positive integer factors of 6904 that divides 6904 without a remainder.
1,2,4,8,863,1726,3452,6904
Greatest Common Factor
We found the factors 8441,6904 . The biggest common factor number is the GCF number.
So the greatest common factor 8441,6904 is 1.
Lets's calculate LCM of 56,453
Given numbers has no common factors except 1. So, there LCM is their product i.e 25368
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/25368
Therefore, the GCF of Fractions 8441/56,6904/453 is 1/25368
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 56,453 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(56,453) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(56,453) x common factors =1 x 1 = 1
LCM(56,453) = ( 56 × 453 ) / 1
LCM(56,453) = 25368 / 1
LCM(56,453) = 25368
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 8441/56, 6904/453?
Answer: GCF of Numerators as per given numbers 8441/56, 6904/453 is
GCF of Numerators i.e. for 8441,6904 is 1
LCM of denominators i.e. for 56,453 is 25368.
Thus, GCF of Fractions is 1/25368.Finally, GCF of Fractions for 8441/56, 6904/453 is 1/25368.