Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2602/29,9912/898
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 2602,9912
Greatest Common Factor of Numerators i.e. GCF of 2602,9912 is 2 .
LCM of Denominators means LCM of 29,898 as per the given fractions.
LCM of 29,898 is 26042 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2602,9912
2 | 2602, 9912 |
1301, 4956 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 2602
List of positive integer factors of 2602 that divides 2602 without a remainder.
1,2,1301,2602
Factors of 9912
List of positive integer factors of 9912 that divides 9912 without a remainder.
1,2,3,4,6,7,8,12,14,21,24,28,42,56,59,84,118,168,177,236,354,413,472,708,826,1239,1416,1652,2478,3304,4956,9912
Greatest Common Factor
We found the factors 2602,9912 . The biggest common factor number is the GCF number.
So the greatest common factor 2602,9912 is 2.
Lets's calculate LCM of 29,898
Given numbers has no common factors except 1. So, there LCM is their product i.e 26042
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/26042
Therefore, the GCF of Fractions 2602/29,9912/898 is 2/26042
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 29,898 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(29,898) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(29,898) x common factors =1 x 1 = 1
LCM(29,898) = ( 29 × 898 ) / 1
LCM(29,898) = 26042 / 1
LCM(29,898) = 26042
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 2602/29, 9912/898?
Answer: GCF of Numerators as per given numbers 2602/29, 9912/898 is
GCF of Numerators i.e. for 2602,9912 is 2
LCM of denominators i.e. for 29,898 is 26042.
Thus, GCF of Fractions is 2/26042.Finally, GCF of Fractions for 2602/29, 9912/898 is 2/26042.