Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 54/454,87/657,489/925
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 54,87,489
Greatest Common Factor of Numerators i.e. GCF of 54,87,489 is 3 .
LCM of Denominators means LCM of 454,657,925 as per the given fractions.
LCM of 454,657,925 is 275907150 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 54,87,489
3 | 54, 87, 489 |
18, 29, 163 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 54
List of positive integer factors of 54 that divides 54 without a remainder.
1,2,3,6,9,18,27,54
Factors of 87
List of positive integer factors of 87 that divides 87 without a remainder.
1,3,29,87
Factors of 489
List of positive integer factors of 489 that divides 489 without a remainder.
1,3,163,489
Greatest Common Factor
We found the factors 54,87,489 . The biggest common factor number is the GCF number.
So the greatest common factor 54,87,489 is 3.
Lets's calculate LCM of 454,657,925
Given numbers has no common factors except 1. So, there LCM is their product i.e 275907150
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/275907150
Therefore, the GCF of Fractions 54/454,87/657,489/925 is 3/275907150
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 454,657,925 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(454,657,925) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(454,657,925) x common factors =1 x 1 = 1
LCM(454,657,925) = ( 454 × 657 × 925 ) / 1
LCM(454,657,925) = 275907150 / 1
LCM(454,657,925) = 275907150
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 54/454, 87/657, 489/925?
Answer: GCF of Numerators as per given numbers 54/454, 87/657, 489/925 is
GCF of Numerators i.e. for 54,87,489 is 3
LCM of denominators i.e. for 454,657,925 is 275907150.
Thus, GCF of Fractions is 3/275907150.Finally, GCF of Fractions for 54/454, 87/657, 489/925 is 3/275907150.