Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8165/248,5577/430
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 8165,5577
Greatest Common Factor of Numerators i.e. GCF of 8165,5577 is 1 .
LCM of Denominators means LCM of 248,430 as per the given fractions.
LCM of 248,430 is 53320 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8165,5577
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 8165
List of positive integer factors of 8165 that divides 8165 without a remainder.
1,5,23,71,115,355,1633,8165
Factors of 5577
List of positive integer factors of 5577 that divides 5577 without a remainder.
1,3,11,13,33,39,143,169,429,507,1859,5577
Greatest Common Factor
We found the factors 8165,5577 . The biggest common factor number is the GCF number.
So the greatest common factor 8165,5577 is 1.
Lets's calculate LCM of 248,430
2 | 248, 430 |
124, 215 |
∴ So the LCM of the given numbers is 2 x 124 x 215 = 53320
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/53320
Therefore, the GCF of Fractions 8165/248,5577/430 is 1/53320
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 248,430 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(248,430) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(248,430) x common factors =2 x 1 = 2
LCM(248,430) = ( 248 × 430 ) / 2
LCM(248,430) = 106640 / 2
LCM(248,430) = 53320
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 8165/248, 5577/430?
Answer: GCF of Numerators as per given numbers 8165/248, 5577/430 is
GCF of Numerators i.e. for 8165,5577 is 1
LCM of denominators i.e. for 248,430 is 53320.
Thus, GCF of Fractions is 1/53320.Finally, GCF of Fractions for 8165/248, 5577/430 is 1/53320.