Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 476/23,131/97,421/282
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 476,131,421
Greatest Common Factor of Numerators i.e. GCF of 476,131,421 is 1 .
LCM of Denominators means LCM of 23,97,282 as per the given fractions.
LCM of 23,97,282 is 629142 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 476,131,421
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 476
List of positive integer factors of 476 that divides 476 without a remainder.
1,2,4,7,14,17,28,34,68,119,238,476
Factors of 131
List of positive integer factors of 131 that divides 131 without a remainder.
1,131
Factors of 421
List of positive integer factors of 421 that divides 421 without a remainder.
1,421
Greatest Common Factor
We found the factors 476,131,421 . The biggest common factor number is the GCF number.
So the greatest common factor 476,131,421 is 1.
Lets's calculate LCM of 23,97,282
Given numbers has no common factors except 1. So, there LCM is their product i.e 629142
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/629142
Therefore, the GCF of Fractions 476/23,131/97,421/282 is 1/629142
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 23,97,282 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(23,97,282) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(23,97,282) x common factors =1 x 1 = 1
LCM(23,97,282) = ( 23 × 97 × 282 ) / 1
LCM(23,97,282) = 629142 / 1
LCM(23,97,282) = 629142
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 476/23, 131/97, 421/282?
Answer: GCF of Numerators as per given numbers 476/23, 131/97, 421/282 is
GCF of Numerators i.e. for 476,131,421 is 1
LCM of denominators i.e. for 23,97,282 is 629142.
Thus, GCF of Fractions is 1/629142.Finally, GCF of Fractions for 476/23, 131/97, 421/282 is 1/629142.