Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2348/704,5176/8407
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 2348,5176
Greatest Common Factor of Numerators i.e. GCF of 2348,5176 is 4 .
LCM of Denominators means LCM of 704,8407 as per the given fractions.
LCM of 704,8407 is 5918528 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2348,5176
2 | 2348, 5176 |
2 | 1174, 2588 |
587, 1294 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Factors of 2348
List of positive integer factors of 2348 that divides 2348 without a remainder.
1,2,4,587,1174,2348
Factors of 5176
List of positive integer factors of 5176 that divides 5176 without a remainder.
1,2,4,8,647,1294,2588,5176
Greatest Common Factor
We found the factors 2348,5176 . The biggest common factor number is the GCF number.
So the greatest common factor 2348,5176 is 4.
Lets's calculate LCM of 704,8407
Given numbers has no common factors except 1. So, there LCM is their product i.e 5918528
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/5918528
Therefore, the GCF of Fractions 2348/704,5176/8407 is 4/5918528
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 704,8407 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(704,8407) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(704,8407) x common factors =1 x 1 = 1
LCM(704,8407) = ( 704 × 8407 ) / 1
LCM(704,8407) = 5918528 / 1
LCM(704,8407) = 5918528
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 2348/704, 5176/8407?
Answer: GCF of Numerators as per given numbers 2348/704, 5176/8407 is
GCF of Numerators i.e. for 2348,5176 is 4
LCM of denominators i.e. for 704,8407 is 5918528.
Thus, GCF of Fractions is 4/5918528.Finally, GCF of Fractions for 2348/704, 5176/8407 is 4/5918528.