Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 843/97,7073/516
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 843,7073
Greatest Common Factor of Numerators i.e. GCF of 843,7073 is 1 .
LCM of Denominators means LCM of 97,516 as per the given fractions.
LCM of 97,516 is 50052 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 843,7073
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 843
List of positive integer factors of 843 that divides 843 without a remainder.
1,3,281,843
Factors of 7073
List of positive integer factors of 7073 that divides 7073 without a remainder.
1,11,643,7073
Greatest Common Factor
We found the factors 843,7073 . The biggest common factor number is the GCF number.
So the greatest common factor 843,7073 is 1.
Lets's calculate LCM of 97,516
Given numbers has no common factors except 1. So, there LCM is their product i.e 50052
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/50052
Therefore, the GCF of Fractions 843/97,7073/516 is 1/50052
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 97,516 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(97,516) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(97,516) x common factors =1 x 1 = 1
LCM(97,516) = ( 97 × 516 ) / 1
LCM(97,516) = 50052 / 1
LCM(97,516) = 50052
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 843/97, 7073/516?
Answer: GCF of Numerators as per given numbers 843/97, 7073/516 is
GCF of Numerators i.e. for 843,7073 is 1
LCM of denominators i.e. for 97,516 is 50052.
Thus, GCF of Fractions is 1/50052.Finally, GCF of Fractions for 843/97, 7073/516 is 1/50052.