Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7550/579,2158/4254
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 7550,2158
Greatest Common Factor of Numerators i.e. GCF of 7550,2158 is 2 .
LCM of Denominators means LCM of 579,4254 as per the given fractions.
LCM of 579,4254 is 821022 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7550,2158
2 | 7550, 2158 |
3775, 1079 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 7550
List of positive integer factors of 7550 that divides 7550 without a remainder.
1,2,5,10,25,50,151,302,755,1510,3775,7550
Factors of 2158
List of positive integer factors of 2158 that divides 2158 without a remainder.
1,2,13,26,83,166,1079,2158
Greatest Common Factor
We found the factors 7550,2158 . The biggest common factor number is the GCF number.
So the greatest common factor 7550,2158 is 2.
Lets's calculate LCM of 579,4254
3 | 579, 4254 |
193, 1418 |
∴ So the LCM of the given numbers is 3 x 193 x 1418 = 821022
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/821022
Therefore, the GCF of Fractions 7550/579,2158/4254 is 2/821022
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 579,4254 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(579,4254) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(579,4254) x common factors =3 x 1 = 3
LCM(579,4254) = ( 579 × 4254 ) / 3
LCM(579,4254) = 2463066 / 3
LCM(579,4254) = 821022
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 7550/579, 2158/4254?
Answer: GCF of Numerators as per given numbers 7550/579, 2158/4254 is
GCF of Numerators i.e. for 7550,2158 is 2
LCM of denominators i.e. for 579,4254 is 821022.
Thus, GCF of Fractions is 2/821022.Finally, GCF of Fractions for 7550/579, 2158/4254 is 2/821022.