Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 83/271,489/146,419/397
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 83,489,419
Greatest Common Factor of Numerators i.e. GCF of 83,489,419 is 1 .
LCM of Denominators means LCM of 271,146,397 as per the given fractions.
LCM of 271,146,397 is 15707702 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 83,489,419
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 83
List of positive integer factors of 83 that divides 83 without a remainder.
1,83
Factors of 489
List of positive integer factors of 489 that divides 489 without a remainder.
1,3,163,489
Factors of 419
List of positive integer factors of 419 that divides 419 without a remainder.
1,419
Greatest Common Factor
We found the factors 83,489,419 . The biggest common factor number is the GCF number.
So the greatest common factor 83,489,419 is 1.
Lets's calculate LCM of 271,146,397
Given numbers has no common factors except 1. So, there LCM is their product i.e 15707702
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/15707702
Therefore, the GCF of Fractions 83/271,489/146,419/397 is 1/15707702
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 271,146,397 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(271,146,397) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(271,146,397) x common factors =1 x 1 = 1
LCM(271,146,397) = ( 271 × 146 × 397 ) / 1
LCM(271,146,397) = 15707702 / 1
LCM(271,146,397) = 15707702
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 83/271, 489/146, 419/397?
Answer: GCF of Numerators as per given numbers 83/271, 489/146, 419/397 is
GCF of Numerators i.e. for 83,489,419 is 1
LCM of denominators i.e. for 271,146,397 is 15707702.
Thus, GCF of Fractions is 1/15707702.Finally, GCF of Fractions for 83/271, 489/146, 419/397 is 1/15707702.