Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 164/40,501/1377
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 164,501
Greatest Common Factor of Numerators i.e. GCF of 164,501 is 1 .
LCM of Denominators means LCM of 40,1377 as per the given fractions.
LCM of 40,1377 is 55080 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 164,501
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 164
List of positive integer factors of 164 that divides 164 without a remainder.
1,2,4,41,82,164
Factors of 501
List of positive integer factors of 501 that divides 501 without a remainder.
1,3,167,501
Greatest Common Factor
We found the factors 164,501 . The biggest common factor number is the GCF number.
So the greatest common factor 164,501 is 1.
Lets's calculate LCM of 40,1377
Given numbers has no common factors except 1. So, there LCM is their product i.e 55080
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/55080
Therefore, the GCF of Fractions 164/40,501/1377 is 1/55080
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 40,1377 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(40,1377) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(40,1377) x common factors =1 x 1 = 1
LCM(40,1377) = ( 40 × 1377 ) / 1
LCM(40,1377) = 55080 / 1
LCM(40,1377) = 55080
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 164/40, 501/1377?
Answer: GCF of Numerators as per given numbers 164/40, 501/1377 is
GCF of Numerators i.e. for 164,501 is 1
LCM of denominators i.e. for 40,1377 is 55080.
Thus, GCF of Fractions is 1/55080.Finally, GCF of Fractions for 164/40, 501/1377 is 1/55080.