Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2941/47,6347/693
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 2941,6347
Greatest Common Factor of Numerators i.e. GCF of 2941,6347 is 1 .
LCM of Denominators means LCM of 47,693 as per the given fractions.
LCM of 47,693 is 32571 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2941,6347
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 2941
List of positive integer factors of 2941 that divides 2941 without a remainder.
1,17,173,2941
Factors of 6347
List of positive integer factors of 6347 that divides 6347 without a remainder.
1,11,577,6347
Greatest Common Factor
We found the factors 2941,6347 . The biggest common factor number is the GCF number.
So the greatest common factor 2941,6347 is 1.
Lets's calculate LCM of 47,693
Given numbers has no common factors except 1. So, there LCM is their product i.e 32571
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/32571
Therefore, the GCF of Fractions 2941/47,6347/693 is 1/32571
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 47,693 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(47,693) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(47,693) x common factors =1 x 1 = 1
LCM(47,693) = ( 47 × 693 ) / 1
LCM(47,693) = 32571 / 1
LCM(47,693) = 32571
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 2941/47, 6347/693?
Answer: GCF of Numerators as per given numbers 2941/47, 6347/693 is
GCF of Numerators i.e. for 2941,6347 is 1
LCM of denominators i.e. for 47,693 is 32571.
Thus, GCF of Fractions is 1/32571.Finally, GCF of Fractions for 2941/47, 6347/693 is 1/32571.