Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6042/270,2669/629
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 6042,2669
Greatest Common Factor of Numerators i.e. GCF of 6042,2669 is 1 .
LCM of Denominators means LCM of 270,629 as per the given fractions.
LCM of 270,629 is 169830 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6042,2669
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 6042
List of positive integer factors of 6042 that divides 6042 without a remainder.
1,2,3,6,19,38,53,57,106,114,159,318,1007,2014,3021,6042
Factors of 2669
List of positive integer factors of 2669 that divides 2669 without a remainder.
1,17,157,2669
Greatest Common Factor
We found the factors 6042,2669 . The biggest common factor number is the GCF number.
So the greatest common factor 6042,2669 is 1.
Lets's calculate LCM of 270,629
Given numbers has no common factors except 1. So, there LCM is their product i.e 169830
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/169830
Therefore, the GCF of Fractions 6042/270,2669/629 is 1/169830
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 270,629 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(270,629) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(270,629) x common factors =1 x 1 = 1
LCM(270,629) = ( 270 × 629 ) / 1
LCM(270,629) = 169830 / 1
LCM(270,629) = 169830
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 6042/270, 2669/629?
Answer: GCF of Numerators as per given numbers 6042/270, 2669/629 is
GCF of Numerators i.e. for 6042,2669 is 1
LCM of denominators i.e. for 270,629 is 169830.
Thus, GCF of Fractions is 1/169830.Finally, GCF of Fractions for 6042/270, 2669/629 is 1/169830.