Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7073/35,3175/571
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 7073,3175
Greatest Common Factor of Numerators i.e. GCF of 7073,3175 is 1 .
LCM of Denominators means LCM of 35,571 as per the given fractions.
LCM of 35,571 is 19985 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7073,3175
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 7073
List of positive integer factors of 7073 that divides 7073 without a remainder.
1,11,643,7073
Factors of 3175
List of positive integer factors of 3175 that divides 3175 without a remainder.
1,5,25,127,635,3175
Greatest Common Factor
We found the factors 7073,3175 . The biggest common factor number is the GCF number.
So the greatest common factor 7073,3175 is 1.
Lets's calculate LCM of 35,571
Given numbers has no common factors except 1. So, there LCM is their product i.e 19985
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/19985
Therefore, the GCF of Fractions 7073/35,3175/571 is 1/19985
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 35,571 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(35,571) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(35,571) x common factors =1 x 1 = 1
LCM(35,571) = ( 35 × 571 ) / 1
LCM(35,571) = 19985 / 1
LCM(35,571) = 19985
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 7073/35, 3175/571?
Answer: GCF of Numerators as per given numbers 7073/35, 3175/571 is
GCF of Numerators i.e. for 7073,3175 is 1
LCM of denominators i.e. for 35,571 is 19985.
Thus, GCF of Fractions is 1/19985.Finally, GCF of Fractions for 7073/35, 3175/571 is 1/19985.