Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 489/98,506/10,176/903
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 489,506,176
Greatest Common Factor of Numerators i.e. GCF of 489,506,176 is 1 .
LCM of Denominators means LCM of 98,10,903 as per the given fractions.
LCM of 98,10,903 is 63210 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 489,506,176
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 489
List of positive integer factors of 489 that divides 489 without a remainder.
1,3,163,489
Factors of 506
List of positive integer factors of 506 that divides 506 without a remainder.
1,2,11,22,23,46,253,506
Factors of 176
List of positive integer factors of 176 that divides 176 without a remainder.
1,2,4,8,11,16,22,44,88,176
Greatest Common Factor
We found the factors 489,506,176 . The biggest common factor number is the GCF number.
So the greatest common factor 489,506,176 is 1.
Lets's calculate LCM of 98,10,903
2 | 98, 10, 903 |
7 | 49, 5, 903 |
7, 5, 129 |
∴ So the LCM of the given numbers is 2 x 7 x 7 x 5 x 129 = 63210
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/63210
Therefore, the GCF of Fractions 489/98,506/10,176/903 is 1/63210
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 98,10,903 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(98,10,903) = 1
common factors(in case of two or more numbers have common factors) = 14
GCF(98,10,903) x common factors =1 x 14 = 14
LCM(98,10,903) = ( 98 × 10 × 903 ) / 14
LCM(98,10,903) = 884940 / 14
LCM(98,10,903) = 63210
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 489/98, 506/10, 176/903?
Answer: GCF of Numerators as per given numbers 489/98, 506/10, 176/903 is
GCF of Numerators i.e. for 489,506,176 is 1
LCM of denominators i.e. for 98,10,903 is 63210.
Thus, GCF of Fractions is 1/63210.Finally, GCF of Fractions for 489/98, 506/10, 176/903 is 1/63210.