Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4419/67,7258/976
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 4419,7258
Greatest Common Factor of Numerators i.e. GCF of 4419,7258 is 1 .
LCM of Denominators means LCM of 67,976 as per the given fractions.
LCM of 67,976 is 65392 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4419,7258
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 4419
List of positive integer factors of 4419 that divides 4419 without a remainder.
1,3,9,491,1473,4419
Factors of 7258
List of positive integer factors of 7258 that divides 7258 without a remainder.
1,2,19,38,191,382,3629,7258
Greatest Common Factor
We found the factors 4419,7258 . The biggest common factor number is the GCF number.
So the greatest common factor 4419,7258 is 1.
Lets's calculate LCM of 67,976
Given numbers has no common factors except 1. So, there LCM is their product i.e 65392
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/65392
Therefore, the GCF of Fractions 4419/67,7258/976 is 1/65392
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 67,976 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(67,976) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(67,976) x common factors =1 x 1 = 1
LCM(67,976) = ( 67 × 976 ) / 1
LCM(67,976) = 65392 / 1
LCM(67,976) = 65392
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 4419/67, 7258/976?
Answer: GCF of Numerators as per given numbers 4419/67, 7258/976 is
GCF of Numerators i.e. for 4419,7258 is 1
LCM of denominators i.e. for 67,976 is 65392.
Thus, GCF of Fractions is 1/65392.Finally, GCF of Fractions for 4419/67, 7258/976 is 1/65392.