Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6164/157,6045/751
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 6164,6045
Greatest Common Factor of Numerators i.e. GCF of 6164,6045 is 1 .
LCM of Denominators means LCM of 157,751 as per the given fractions.
LCM of 157,751 is 117907 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6164,6045
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 6164
List of positive integer factors of 6164 that divides 6164 without a remainder.
1,2,4,23,46,67,92,134,268,1541,3082,6164
Factors of 6045
List of positive integer factors of 6045 that divides 6045 without a remainder.
1,3,5,13,15,31,39,65,93,155,195,403,465,1209,2015,6045
Greatest Common Factor
We found the factors 6164,6045 . The biggest common factor number is the GCF number.
So the greatest common factor 6164,6045 is 1.
Lets's calculate LCM of 157,751
Given numbers has no common factors except 1. So, there LCM is their product i.e 117907
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/117907
Therefore, the GCF of Fractions 6164/157,6045/751 is 1/117907
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 157,751 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(157,751) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(157,751) x common factors =1 x 1 = 1
LCM(157,751) = ( 157 × 751 ) / 1
LCM(157,751) = 117907 / 1
LCM(157,751) = 117907
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 6164/157, 6045/751?
Answer: GCF of Numerators as per given numbers 6164/157, 6045/751 is
GCF of Numerators i.e. for 6164,6045 is 1
LCM of denominators i.e. for 157,751 is 117907.
Thus, GCF of Fractions is 1/117907.Finally, GCF of Fractions for 6164/157, 6045/751 is 1/117907.