Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4279/793,7118/2491
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 4279,7118
Greatest Common Factor of Numerators i.e. GCF of 4279,7118 is 1 .
LCM of Denominators means LCM of 793,2491 as per the given fractions.
LCM of 793,2491 is 1975363 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4279,7118
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 4279
List of positive integer factors of 4279 that divides 4279 without a remainder.
1,11,389,4279
Factors of 7118
List of positive integer factors of 7118 that divides 7118 without a remainder.
1,2,3559,7118
Greatest Common Factor
We found the factors 4279,7118 . The biggest common factor number is the GCF number.
So the greatest common factor 4279,7118 is 1.
Lets's calculate LCM of 793,2491
Given numbers has no common factors except 1. So, there LCM is their product i.e 1975363
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1975363
Therefore, the GCF of Fractions 4279/793,7118/2491 is 1/1975363
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 793,2491 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(793,2491) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(793,2491) x common factors =1 x 1 = 1
LCM(793,2491) = ( 793 × 2491 ) / 1
LCM(793,2491) = 1975363 / 1
LCM(793,2491) = 1975363
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 4279/793, 7118/2491?
Answer: GCF of Numerators as per given numbers 4279/793, 7118/2491 is
GCF of Numerators i.e. for 4279,7118 is 1
LCM of denominators i.e. for 793,2491 is 1975363.
Thus, GCF of Fractions is 1/1975363.Finally, GCF of Fractions for 4279/793, 7118/2491 is 1/1975363.