Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4804/98,8535/873
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 4804,8535
Greatest Common Factor of Numerators i.e. GCF of 4804,8535 is 1 .
LCM of Denominators means LCM of 98,873 as per the given fractions.
LCM of 98,873 is 85554 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4804,8535
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 4804
List of positive integer factors of 4804 that divides 4804 without a remainder.
1,2,4,1201,2402,4804
Factors of 8535
List of positive integer factors of 8535 that divides 8535 without a remainder.
1,3,5,15,569,1707,2845,8535
Greatest Common Factor
We found the factors 4804,8535 . The biggest common factor number is the GCF number.
So the greatest common factor 4804,8535 is 1.
Lets's calculate LCM of 98,873
Given numbers has no common factors except 1. So, there LCM is their product i.e 85554
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/85554
Therefore, the GCF of Fractions 4804/98,8535/873 is 1/85554
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 98,873 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(98,873) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(98,873) x common factors =1 x 1 = 1
LCM(98,873) = ( 98 × 873 ) / 1
LCM(98,873) = 85554 / 1
LCM(98,873) = 85554
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 4804/98, 8535/873?
Answer: GCF of Numerators as per given numbers 4804/98, 8535/873 is
GCF of Numerators i.e. for 4804,8535 is 1
LCM of denominators i.e. for 98,873 is 85554.
Thus, GCF of Fractions is 1/85554.Finally, GCF of Fractions for 4804/98, 8535/873 is 1/85554.