Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2130/26,6056/242
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 2130,6056
Greatest Common Factor of Numerators i.e. GCF of 2130,6056 is 2 .
LCM of Denominators means LCM of 26,242 as per the given fractions.
LCM of 26,242 is 3146 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2130,6056
2 | 2130, 6056 |
1065, 3028 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 2130
List of positive integer factors of 2130 that divides 2130 without a remainder.
1,2,3,5,6,10,15,30,71,142,213,355,426,710,1065,2130
Factors of 6056
List of positive integer factors of 6056 that divides 6056 without a remainder.
1,2,4,8,757,1514,3028,6056
Greatest Common Factor
We found the factors 2130,6056 . The biggest common factor number is the GCF number.
So the greatest common factor 2130,6056 is 2.
Lets's calculate LCM of 26,242
2 | 26, 242 |
13, 121 |
∴ So the LCM of the given numbers is 2 x 13 x 121 = 3146
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3146
Therefore, the GCF of Fractions 2130/26,6056/242 is 2/3146
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 26,242 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(26,242) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(26,242) x common factors =2 x 1 = 2
LCM(26,242) = ( 26 × 242 ) / 2
LCM(26,242) = 6292 / 2
LCM(26,242) = 3146
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 2130/26, 6056/242?
Answer: GCF of Numerators as per given numbers 2130/26, 6056/242 is
GCF of Numerators i.e. for 2130,6056 is 2
LCM of denominators i.e. for 26,242 is 3146.
Thus, GCF of Fractions is 2/3146.Finally, GCF of Fractions for 2130/26, 6056/242 is 2/3146.