Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 471/45,351/17,626/158
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 471,351,626
Greatest Common Factor of Numerators i.e. GCF of 471,351,626 is 1 .
LCM of Denominators means LCM of 45,17,158 as per the given fractions.
LCM of 45,17,158 is 120870 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 471,351,626
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 471
List of positive integer factors of 471 that divides 471 without a remainder.
1,3,157,471
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 626
List of positive integer factors of 626 that divides 626 without a remainder.
1,2,313,626
Greatest Common Factor
We found the factors 471,351,626 . The biggest common factor number is the GCF number.
So the greatest common factor 471,351,626 is 1.
Lets's calculate LCM of 45,17,158
Given numbers has no common factors except 1. So, there LCM is their product i.e 120870
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/120870
Therefore, the GCF of Fractions 471/45,351/17,626/158 is 1/120870
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 45,17,158 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(45,17,158) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(45,17,158) x common factors =1 x 1 = 1
LCM(45,17,158) = ( 45 × 17 × 158 ) / 1
LCM(45,17,158) = 120870 / 1
LCM(45,17,158) = 120870
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 471/45, 351/17, 626/158?
Answer: GCF of Numerators as per given numbers 471/45, 351/17, 626/158 is
GCF of Numerators i.e. for 471,351,626 is 1
LCM of denominators i.e. for 45,17,158 is 120870.
Thus, GCF of Fractions is 1/120870.Finally, GCF of Fractions for 471/45, 351/17, 626/158 is 1/120870.