Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1693/374,3519/121
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 1693,3519
Greatest Common Factor of Numerators i.e. GCF of 1693,3519 is 1 .
LCM of Denominators means LCM of 374,121 as per the given fractions.
LCM of 374,121 is 4114 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1693,3519
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 1693
List of positive integer factors of 1693 that divides 1693 without a remainder.
1,1693
Factors of 3519
List of positive integer factors of 3519 that divides 3519 without a remainder.
1,3,9,17,23,51,69,153,207,391,1173,3519
Greatest Common Factor
We found the factors 1693,3519 . The biggest common factor number is the GCF number.
So the greatest common factor 1693,3519 is 1.
Lets's calculate LCM of 374,121
11 | 374, 121 |
34, 11 |
∴ So the LCM of the given numbers is 11 x 34 x 11 = 4114
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4114
Therefore, the GCF of Fractions 1693/374,3519/121 is 1/4114
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 374,121 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(374,121) = 11
common factors(in case of two or more numbers have common factors) = 1
GCF(374,121) x common factors =11 x 1 = 11
LCM(374,121) = ( 374 × 121 ) / 11
LCM(374,121) = 45254 / 11
LCM(374,121) = 4114
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 1693/374, 3519/121?
Answer: GCF of Numerators as per given numbers 1693/374, 3519/121 is
GCF of Numerators i.e. for 1693,3519 is 1
LCM of denominators i.e. for 374,121 is 4114.
Thus, GCF of Fractions is 1/4114.Finally, GCF of Fractions for 1693/374, 3519/121 is 1/4114.