Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4481/80,8749/479
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 4481,8749
Greatest Common Factor of Numerators i.e. GCF of 4481,8749 is 1 .
LCM of Denominators means LCM of 80,479 as per the given fractions.
LCM of 80,479 is 38320 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4481,8749
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 4481
List of positive integer factors of 4481 that divides 4481 without a remainder.
1,4481
Factors of 8749
List of positive integer factors of 8749 that divides 8749 without a remainder.
1,13,673,8749
Greatest Common Factor
We found the factors 4481,8749 . The biggest common factor number is the GCF number.
So the greatest common factor 4481,8749 is 1.
Lets's calculate LCM of 80,479
Given numbers has no common factors except 1. So, there LCM is their product i.e 38320
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/38320
Therefore, the GCF of Fractions 4481/80,8749/479 is 1/38320
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 80,479 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(80,479) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(80,479) x common factors =1 x 1 = 1
LCM(80,479) = ( 80 × 479 ) / 1
LCM(80,479) = 38320 / 1
LCM(80,479) = 38320
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 4481/80, 8749/479?
Answer: GCF of Numerators as per given numbers 4481/80, 8749/479 is
GCF of Numerators i.e. for 4481,8749 is 1
LCM of denominators i.e. for 80,479 is 38320.
Thus, GCF of Fractions is 1/38320.Finally, GCF of Fractions for 4481/80, 8749/479 is 1/38320.