Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1962/599,5850/9148
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 1962,5850
Greatest Common Factor of Numerators i.e. GCF of 1962,5850 is 18 .
LCM of Denominators means LCM of 599,9148 as per the given fractions.
LCM of 599,9148 is 5479652 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1962,5850
2 | 1962, 5850 |
3 | 981, 2925 |
3 | 327, 975 |
109, 325 |
∴ So the GCF of the given numbers is 2 x 3 x 3 = 18
Factors of 1962
List of positive integer factors of 1962 that divides 1962 without a remainder.
1,2,3,6,9,18,109,218,327,654,981,1962
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
Greatest Common Factor
We found the factors 1962,5850 . The biggest common factor number is the GCF number.
So the greatest common factor 1962,5850 is 18.
Lets's calculate LCM of 599,9148
Given numbers has no common factors except 1. So, there LCM is their product i.e 5479652
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 18/5479652
Therefore, the GCF of Fractions 1962/599,5850/9148 is 18/5479652
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 599,9148 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(599,9148) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(599,9148) x common factors =1 x 1 = 1
LCM(599,9148) = ( 599 × 9148 ) / 1
LCM(599,9148) = 5479652 / 1
LCM(599,9148) = 5479652
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 1962/599, 5850/9148?
Answer: GCF of Numerators as per given numbers 1962/599, 5850/9148 is
GCF of Numerators i.e. for 1962,5850 is 18
LCM of denominators i.e. for 599,9148 is 5479652.
Thus, GCF of Fractions is 18/5479652.Finally, GCF of Fractions for 1962/599, 5850/9148 is 18/5479652.