Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5850/368,9897/5022
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 5850,9897
Greatest Common Factor of Numerators i.e. GCF of 5850,9897 is 3 .
LCM of Denominators means LCM of 368,5022 as per the given fractions.
LCM of 368,5022 is 924048 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5850,9897
3 | 5850, 9897 |
1950, 3299 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 5850
List of positive integer factors of 5850 that divides 5850 without a remainder.
1,2,3,5,6,9,10,13,15,18,25,26,30,39,45,50,65,75,78,90,117,130,150,195,225,234,325,390,450,585,650,975,1170,1950,2925,5850
Factors of 9897
List of positive integer factors of 9897 that divides 9897 without a remainder.
1,3,3299,9897
Greatest Common Factor
We found the factors 5850,9897 . The biggest common factor number is the GCF number.
So the greatest common factor 5850,9897 is 3.
Lets's calculate LCM of 368,5022
2 | 368, 5022 |
184, 2511 |
∴ So the LCM of the given numbers is 2 x 184 x 2511 = 924048
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/924048
Therefore, the GCF of Fractions 5850/368,9897/5022 is 3/924048
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 368,5022 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(368,5022) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(368,5022) x common factors =2 x 1 = 2
LCM(368,5022) = ( 368 × 5022 ) / 2
LCM(368,5022) = 1848096 / 2
LCM(368,5022) = 924048
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 5850/368, 9897/5022?
Answer: GCF of Numerators as per given numbers 5850/368, 9897/5022 is
GCF of Numerators i.e. for 5850,9897 is 3
LCM of denominators i.e. for 368,5022 is 924048.
Thus, GCF of Fractions is 3/924048.Finally, GCF of Fractions for 5850/368, 9897/5022 is 3/924048.