Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4913/358,9373/7588
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 4913,9373
Greatest Common Factor of Numerators i.e. GCF of 4913,9373 is 1 .
LCM of Denominators means LCM of 358,7588 as per the given fractions.
LCM of 358,7588 is 1358252 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4913,9373
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 4913
List of positive integer factors of 4913 that divides 4913 without a remainder.
1,17,289,4913
Factors of 9373
List of positive integer factors of 9373 that divides 9373 without a remainder.
1,7,13,91,103,721,1339,9373
Greatest Common Factor
We found the factors 4913,9373 . The biggest common factor number is the GCF number.
So the greatest common factor 4913,9373 is 1.
Lets's calculate LCM of 358,7588
2 | 358, 7588 |
179, 3794 |
∴ So the LCM of the given numbers is 2 x 179 x 3794 = 1358252
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1358252
Therefore, the GCF of Fractions 4913/358,9373/7588 is 1/1358252
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 358,7588 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(358,7588) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(358,7588) x common factors =2 x 1 = 2
LCM(358,7588) = ( 358 × 7588 ) / 2
LCM(358,7588) = 2716504 / 2
LCM(358,7588) = 1358252
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 4913/358, 9373/7588?
Answer: GCF of Numerators as per given numbers 4913/358, 9373/7588 is
GCF of Numerators i.e. for 4913,9373 is 1
LCM of denominators i.e. for 358,7588 is 1358252.
Thus, GCF of Fractions is 1/1358252.Finally, GCF of Fractions for 4913/358, 9373/7588 is 1/1358252.