Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 489/978,824/302,547/258
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 489,824,547
Greatest Common Factor of Numerators i.e. GCF of 489,824,547 is 1 .
LCM of Denominators means LCM of 978,302,258 as per the given fractions.
LCM of 978,302,258 is 6350154 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 489,824,547
∴ 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 824
List of positive integer factors of 824 that divides 824 without a remainder.
1,2,4,8,103,206,412,824
Factors of 547
List of positive integer factors of 547 that divides 547 without a remainder.
1,547
Greatest Common Factor
We found the factors 489,824,547 . The biggest common factor number is the GCF number.
So the greatest common factor 489,824,547 is 1.
Lets's calculate LCM of 978,302,258
2 | 978, 302, 258 |
3 | 489, 151, 129 |
163, 151, 43 |
∴ So the LCM of the given numbers is 2 x 3 x 163 x 151 x 43 = 6350154
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6350154
Therefore, the GCF of Fractions 489/978,824/302,547/258 is 1/6350154
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 978,302,258 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(978,302,258) = 2
common factors(in case of two or more numbers have common factors) = 6
GCF(978,302,258) x common factors =2 x 6 = 12
LCM(978,302,258) = ( 978 × 302 × 258 ) / 12
LCM(978,302,258) = 76201848 / 12
LCM(978,302,258) = 6350154
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 489/978, 824/302, 547/258?
Answer: GCF of Numerators as per given numbers 489/978, 824/302, 547/258 is
GCF of Numerators i.e. for 489,824,547 is 1
LCM of denominators i.e. for 978,302,258 is 6350154.
Thus, GCF of Fractions is 1/6350154.Finally, GCF of Fractions for 489/978, 824/302, 547/258 is 1/6350154.