Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5763/409,4307/169
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 5763,4307
Greatest Common Factor of Numerators i.e. GCF of 5763,4307 is 1 .
LCM of Denominators means LCM of 409,169 as per the given fractions.
LCM of 409,169 is 69121 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5763,4307
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 5763
List of positive integer factors of 5763 that divides 5763 without a remainder.
1,3,17,51,113,339,1921,5763
Factors of 4307
List of positive integer factors of 4307 that divides 4307 without a remainder.
1,59,73,4307
Greatest Common Factor
We found the factors 5763,4307 . The biggest common factor number is the GCF number.
So the greatest common factor 5763,4307 is 1.
Lets's calculate LCM of 409,169
Given numbers has no common factors except 1. So, there LCM is their product i.e 69121
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/69121
Therefore, the GCF of Fractions 5763/409,4307/169 is 1/69121
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 409,169 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(409,169) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(409,169) x common factors =1 x 1 = 1
LCM(409,169) = ( 409 × 169 ) / 1
LCM(409,169) = 69121 / 1
LCM(409,169) = 69121
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 5763/409, 4307/169?
Answer: GCF of Numerators as per given numbers 5763/409, 4307/169 is
GCF of Numerators i.e. for 5763,4307 is 1
LCM of denominators i.e. for 409,169 is 69121.
Thus, GCF of Fractions is 1/69121.Finally, GCF of Fractions for 5763/409, 4307/169 is 1/69121.