Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6571/53,4158/127
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 6571,4158
Greatest Common Factor of Numerators i.e. GCF of 6571,4158 is 1 .
LCM of Denominators means LCM of 53,127 as per the given fractions.
LCM of 53,127 is 6731 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6571,4158
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 6571
List of positive integer factors of 6571 that divides 6571 without a remainder.
1,6571
Factors of 4158
List of positive integer factors of 4158 that divides 4158 without a remainder.
1,2,3,6,7,9,11,14,18,21,22,27,33,42,54,63,66,77,99,126,154,189,198,231,297,378,462,594,693,1386,2079,4158
Greatest Common Factor
We found the factors 6571,4158 . The biggest common factor number is the GCF number.
So the greatest common factor 6571,4158 is 1.
Lets's calculate LCM of 53,127
Given numbers has no common factors except 1. So, there LCM is their product i.e 6731
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6731
Therefore, the GCF of Fractions 6571/53,4158/127 is 1/6731
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 53,127 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(53,127) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(53,127) x common factors =1 x 1 = 1
LCM(53,127) = ( 53 × 127 ) / 1
LCM(53,127) = 6731 / 1
LCM(53,127) = 6731
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 6571/53, 4158/127?
Answer: GCF of Numerators as per given numbers 6571/53, 4158/127 is
GCF of Numerators i.e. for 6571,4158 is 1
LCM of denominators i.e. for 53,127 is 6731.
Thus, GCF of Fractions is 1/6731.Finally, GCF of Fractions for 6571/53, 4158/127 is 1/6731.