Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 71/38,988/89,220/339
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 71,988,220
Greatest Common Factor of Numerators i.e. GCF of 71,988,220 is 1 .
LCM of Denominators means LCM of 38,89,339 as per the given fractions.
LCM of 38,89,339 is 1146498 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 71,988,220
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 71
List of positive integer factors of 71 that divides 71 without a remainder.
1,71
Factors of 988
List of positive integer factors of 988 that divides 988 without a remainder.
1,2,4,13,19,26,38,52,76,247,494,988
Factors of 220
List of positive integer factors of 220 that divides 220 without a remainder.
1,2,4,5,10,11,20,22,44,55,110,220
Greatest Common Factor
We found the factors 71,988,220 . The biggest common factor number is the GCF number.
So the greatest common factor 71,988,220 is 1.
Lets's calculate LCM of 38,89,339
Given numbers has no common factors except 1. So, there LCM is their product i.e 1146498
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1146498
Therefore, the GCF of Fractions 71/38,988/89,220/339 is 1/1146498
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 38,89,339 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(38,89,339) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(38,89,339) x common factors =1 x 1 = 1
LCM(38,89,339) = ( 38 × 89 × 339 ) / 1
LCM(38,89,339) = 1146498 / 1
LCM(38,89,339) = 1146498
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 71/38, 988/89, 220/339?
Answer: GCF of Numerators as per given numbers 71/38, 988/89, 220/339 is
GCF of Numerators i.e. for 71,988,220 is 1
LCM of denominators i.e. for 38,89,339 is 1146498.
Thus, GCF of Fractions is 1/1146498.Finally, GCF of Fractions for 71/38, 988/89, 220/339 is 1/1146498.