Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 297/198,5161/662
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 297,5161
Greatest Common Factor of Numerators i.e. GCF of 297,5161 is 1 .
LCM of Denominators means LCM of 198,662 as per the given fractions.
LCM of 198,662 is 65538 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 297,5161
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 297
List of positive integer factors of 297 that divides 297 without a remainder.
1,3,9,11,27,33,99,297
Factors of 5161
List of positive integer factors of 5161 that divides 5161 without a remainder.
1,13,397,5161
Greatest Common Factor
We found the factors 297,5161 . The biggest common factor number is the GCF number.
So the greatest common factor 297,5161 is 1.
Lets's calculate LCM of 198,662
2 | 198, 662 |
99, 331 |
∴ So the LCM of the given numbers is 2 x 99 x 331 = 65538
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/65538
Therefore, the GCF of Fractions 297/198,5161/662 is 1/65538
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 198,662 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(198,662) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(198,662) x common factors =2 x 1 = 2
LCM(198,662) = ( 198 × 662 ) / 2
LCM(198,662) = 131076 / 2
LCM(198,662) = 65538
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 297/198, 5161/662?
Answer: GCF of Numerators as per given numbers 297/198, 5161/662 is
GCF of Numerators i.e. for 297,5161 is 1
LCM of denominators i.e. for 198,662 is 65538.
Thus, GCF of Fractions is 1/65538.Finally, GCF of Fractions for 297/198, 5161/662 is 1/65538.