Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4162/626,6155/4957
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 4162,6155
Greatest Common Factor of Numerators i.e. GCF of 4162,6155 is 1 .
LCM of Denominators means LCM of 626,4957 as per the given fractions.
LCM of 626,4957 is 3103082 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4162,6155
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 4162
List of positive integer factors of 4162 that divides 4162 without a remainder.
1,2,2081,4162
Factors of 6155
List of positive integer factors of 6155 that divides 6155 without a remainder.
1,5,1231,6155
Greatest Common Factor
We found the factors 4162,6155 . The biggest common factor number is the GCF number.
So the greatest common factor 4162,6155 is 1.
Lets's calculate LCM of 626,4957
Given numbers has no common factors except 1. So, there LCM is their product i.e 3103082
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3103082
Therefore, the GCF of Fractions 4162/626,6155/4957 is 1/3103082
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 626,4957 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(626,4957) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(626,4957) x common factors =1 x 1 = 1
LCM(626,4957) = ( 626 × 4957 ) / 1
LCM(626,4957) = 3103082 / 1
LCM(626,4957) = 3103082
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 4162/626, 6155/4957?
Answer: GCF of Numerators as per given numbers 4162/626, 6155/4957 is
GCF of Numerators i.e. for 4162,6155 is 1
LCM of denominators i.e. for 626,4957 is 3103082.
Thus, GCF of Fractions is 1/3103082.Finally, GCF of Fractions for 4162/626, 6155/4957 is 1/3103082.