Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5665/982,7523/862
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 5665,7523
Greatest Common Factor of Numerators i.e. GCF of 5665,7523 is 1 .
LCM of Denominators means LCM of 982,862 as per the given fractions.
LCM of 982,862 is 423242 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5665,7523
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 5665
List of positive integer factors of 5665 that divides 5665 without a remainder.
1,5,11,55,103,515,1133,5665
Factors of 7523
List of positive integer factors of 7523 that divides 7523 without a remainder.
1,7523
Greatest Common Factor
We found the factors 5665,7523 . The biggest common factor number is the GCF number.
So the greatest common factor 5665,7523 is 1.
Lets's calculate LCM of 982,862
2 | 982, 862 |
491, 431 |
∴ So the LCM of the given numbers is 2 x 491 x 431 = 423242
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/423242
Therefore, the GCF of Fractions 5665/982,7523/862 is 1/423242
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 982,862 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(982,862) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(982,862) x common factors =2 x 1 = 2
LCM(982,862) = ( 982 × 862 ) / 2
LCM(982,862) = 846484 / 2
LCM(982,862) = 423242
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 5665/982, 7523/862?
Answer: GCF of Numerators as per given numbers 5665/982, 7523/862 is
GCF of Numerators i.e. for 5665,7523 is 1
LCM of denominators i.e. for 982,862 is 423242.
Thus, GCF of Fractions is 1/423242.Finally, GCF of Fractions for 5665/982, 7523/862 is 1/423242.