Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3495/203,6281/4451
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 3495,6281
Greatest Common Factor of Numerators i.e. GCF of 3495,6281 is 1 .
LCM of Denominators means LCM of 203,4451 as per the given fractions.
LCM of 203,4451 is 903553 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3495,6281
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 3495
List of positive integer factors of 3495 that divides 3495 without a remainder.
1,3,5,15,233,699,1165,3495
Factors of 6281
List of positive integer factors of 6281 that divides 6281 without a remainder.
1,11,571,6281
Greatest Common Factor
We found the factors 3495,6281 . The biggest common factor number is the GCF number.
So the greatest common factor 3495,6281 is 1.
Lets's calculate LCM of 203,4451
Given numbers has no common factors except 1. So, there LCM is their product i.e 903553
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/903553
Therefore, the GCF of Fractions 3495/203,6281/4451 is 1/903553
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 203,4451 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(203,4451) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(203,4451) x common factors =1 x 1 = 1
LCM(203,4451) = ( 203 × 4451 ) / 1
LCM(203,4451) = 903553 / 1
LCM(203,4451) = 903553
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 3495/203, 6281/4451?
Answer: GCF of Numerators as per given numbers 3495/203, 6281/4451 is
GCF of Numerators i.e. for 3495,6281 is 1
LCM of denominators i.e. for 203,4451 is 903553.
Thus, GCF of Fractions is 1/903553.Finally, GCF of Fractions for 3495/203, 6281/4451 is 1/903553.