Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 98/947,2941/4319
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 98,2941
Greatest Common Factor of Numerators i.e. GCF of 98,2941 is 1 .
LCM of Denominators means LCM of 947,4319 as per the given fractions.
LCM of 947,4319 is 4090093 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 98,2941
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 98
List of positive integer factors of 98 that divides 98 without a remainder.
1,2,7,14,49,98
Factors of 2941
List of positive integer factors of 2941 that divides 2941 without a remainder.
1,17,173,2941
Greatest Common Factor
We found the factors 98,2941 . The biggest common factor number is the GCF number.
So the greatest common factor 98,2941 is 1.
Lets's calculate LCM of 947,4319
Given numbers has no common factors except 1. So, there LCM is their product i.e 4090093
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4090093
Therefore, the GCF of Fractions 98/947,2941/4319 is 1/4090093
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 947,4319 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(947,4319) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(947,4319) x common factors =1 x 1 = 1
LCM(947,4319) = ( 947 × 4319 ) / 1
LCM(947,4319) = 4090093 / 1
LCM(947,4319) = 4090093
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 98/947, 2941/4319?
Answer: GCF of Numerators as per given numbers 98/947, 2941/4319 is
GCF of Numerators i.e. for 98,2941 is 1
LCM of denominators i.e. for 947,4319 is 4090093.
Thus, GCF of Fractions is 1/4090093.Finally, GCF of Fractions for 98/947, 2941/4319 is 1/4090093.