Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 141/60,2755/179
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 141,2755
Greatest Common Factor of Numerators i.e. GCF of 141,2755 is 1 .
LCM of Denominators means LCM of 60,179 as per the given fractions.
LCM of 60,179 is 10740 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 141,2755
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 141
List of positive integer factors of 141 that divides 141 without a remainder.
1,3,47,141
Factors of 2755
List of positive integer factors of 2755 that divides 2755 without a remainder.
1,5,19,29,95,145,551,2755
Greatest Common Factor
We found the factors 141,2755 . The biggest common factor number is the GCF number.
So the greatest common factor 141,2755 is 1.
Lets's calculate LCM of 60,179
Given numbers has no common factors except 1. So, there LCM is their product i.e 10740
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/10740
Therefore, the GCF of Fractions 141/60,2755/179 is 1/10740
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 60,179 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(60,179) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(60,179) x common factors =1 x 1 = 1
LCM(60,179) = ( 60 × 179 ) / 1
LCM(60,179) = 10740 / 1
LCM(60,179) = 10740
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 141/60, 2755/179?
Answer: GCF of Numerators as per given numbers 141/60, 2755/179 is
GCF of Numerators i.e. for 141,2755 is 1
LCM of denominators i.e. for 60,179 is 10740.
Thus, GCF of Fractions is 1/10740.Finally, GCF of Fractions for 141/60, 2755/179 is 1/10740.