Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 503/668,351/923,140/403
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 503,351,140
Greatest Common Factor of Numerators i.e. GCF of 503,351,140 is 1 .
LCM of Denominators means LCM of 668,923,403 as per the given fractions.
LCM of 668,923,403 is 19113484 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 503,351,140
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 503
List of positive integer factors of 503 that divides 503 without a remainder.
1,503
Factors of 351
List of positive integer factors of 351 that divides 351 without a remainder.
1,3,9,13,27,39,117,351
Factors of 140
List of positive integer factors of 140 that divides 140 without a remainder.
1,2,4,5,7,10,14,20,28,35,70,140
Greatest Common Factor
We found the factors 503,351,140 . The biggest common factor number is the GCF number.
So the greatest common factor 503,351,140 is 1.
Lets's calculate LCM of 668,923,403
13 | 668, 923, 403 |
668, 71, 31 |
∴ So the LCM of the given numbers is 13 x 668 x 71 x 31 = 19113484
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/19113484
Therefore, the GCF of Fractions 503/668,351/923,140/403 is 1/19113484
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 668,923,403 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(668,923,403) = 1
common factors(in case of two or more numbers have common factors) = 13
GCF(668,923,403) x common factors =1 x 13 = 13
LCM(668,923,403) = ( 668 × 923 × 403 ) / 13
LCM(668,923,403) = 248475292 / 13
LCM(668,923,403) = 19113484
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 503/668, 351/923, 140/403?
Answer: GCF of Numerators as per given numbers 503/668, 351/923, 140/403 is
GCF of Numerators i.e. for 503,351,140 is 1
LCM of denominators i.e. for 668,923,403 is 19113484.
Thus, GCF of Fractions is 1/19113484.Finally, GCF of Fractions for 503/668, 351/923, 140/403 is 1/19113484.