Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 183/63,168/97,476/418
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 183,168,476
Greatest Common Factor of Numerators i.e. GCF of 183,168,476 is 1 .
LCM of Denominators means LCM of 63,97,418 as per the given fractions.
LCM of 63,97,418 is 2554398 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 183,168,476
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 183
List of positive integer factors of 183 that divides 183 without a remainder.
1,3,61,183
Factors of 168
List of positive integer factors of 168 that divides 168 without a remainder.
1,2,3,4,6,7,8,12,14,21,24,28,42,56,84,168
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
Greatest Common Factor
We found the factors 183,168,476 . The biggest common factor number is the GCF number.
So the greatest common factor 183,168,476 is 1.
Lets's calculate LCM of 63,97,418
Given numbers has no common factors except 1. So, there LCM is their product i.e 2554398
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2554398
Therefore, the GCF of Fractions 183/63,168/97,476/418 is 1/2554398
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 63,97,418 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(63,97,418) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(63,97,418) x common factors =1 x 1 = 1
LCM(63,97,418) = ( 63 × 97 × 418 ) / 1
LCM(63,97,418) = 2554398 / 1
LCM(63,97,418) = 2554398
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 183/63, 168/97, 476/418?
Answer: GCF of Numerators as per given numbers 183/63, 168/97, 476/418 is
GCF of Numerators i.e. for 183,168,476 is 1
LCM of denominators i.e. for 63,97,418 is 2554398.
Thus, GCF of Fractions is 1/2554398.Finally, GCF of Fractions for 183/63, 168/97, 476/418 is 1/2554398.