Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4511/177,7092/4601
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 4511,7092
Greatest Common Factor of Numerators i.e. GCF of 4511,7092 is 1 .
LCM of Denominators means LCM of 177,4601 as per the given fractions.
LCM of 177,4601 is 814377 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4511,7092
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 4511
List of positive integer factors of 4511 that divides 4511 without a remainder.
1,13,347,4511
Factors of 7092
List of positive integer factors of 7092 that divides 7092 without a remainder.
1,2,3,4,6,9,12,18,36,197,394,591,788,1182,1773,2364,3546,7092
Greatest Common Factor
We found the factors 4511,7092 . The biggest common factor number is the GCF number.
So the greatest common factor 4511,7092 is 1.
Lets's calculate LCM of 177,4601
Given numbers has no common factors except 1. So, there LCM is their product i.e 814377
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/814377
Therefore, the GCF of Fractions 4511/177,7092/4601 is 1/814377
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 177,4601 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(177,4601) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(177,4601) x common factors =1 x 1 = 1
LCM(177,4601) = ( 177 × 4601 ) / 1
LCM(177,4601) = 814377 / 1
LCM(177,4601) = 814377
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 4511/177, 7092/4601?
Answer: GCF of Numerators as per given numbers 4511/177, 7092/4601 is
GCF of Numerators i.e. for 4511,7092 is 1
LCM of denominators i.e. for 177,4601 is 814377.
Thus, GCF of Fractions is 1/814377.Finally, GCF of Fractions for 4511/177, 7092/4601 is 1/814377.