Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6162/132,7421/6229
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 6162,7421
Greatest Common Factor of Numerators i.e. GCF of 6162,7421 is 1 .
LCM of Denominators means LCM of 132,6229 as per the given fractions.
LCM of 132,6229 is 822228 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6162,7421
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 6162
List of positive integer factors of 6162 that divides 6162 without a remainder.
1,2,3,6,13,26,39,78,79,158,237,474,1027,2054,3081,6162
Factors of 7421
List of positive integer factors of 7421 that divides 7421 without a remainder.
1,41,181,7421
Greatest Common Factor
We found the factors 6162,7421 . The biggest common factor number is the GCF number.
So the greatest common factor 6162,7421 is 1.
Lets's calculate LCM of 132,6229
Given numbers has no common factors except 1. So, there LCM is their product i.e 822228
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/822228
Therefore, the GCF of Fractions 6162/132,7421/6229 is 1/822228
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 132,6229 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(132,6229) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(132,6229) x common factors =1 x 1 = 1
LCM(132,6229) = ( 132 × 6229 ) / 1
LCM(132,6229) = 822228 / 1
LCM(132,6229) = 822228
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 6162/132, 7421/6229?
Answer: GCF of Numerators as per given numbers 6162/132, 7421/6229 is
GCF of Numerators i.e. for 6162,7421 is 1
LCM of denominators i.e. for 132,6229 is 822228.
Thus, GCF of Fractions is 1/822228.Finally, GCF of Fractions for 6162/132, 7421/6229 is 1/822228.