Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4812/80,3102/918
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 4812,3102
Greatest Common Factor of Numerators i.e. GCF of 4812,3102 is 6 .
LCM of Denominators means LCM of 80,918 as per the given fractions.
LCM of 80,918 is 36720 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4812,3102
2 | 4812, 3102 |
3 | 2406, 1551 |
802, 517 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Factors of 4812
List of positive integer factors of 4812 that divides 4812 without a remainder.
1,2,3,4,6,12,401,802,1203,1604,2406,4812
Factors of 3102
List of positive integer factors of 3102 that divides 3102 without a remainder.
1,2,3,6,11,22,33,47,66,94,141,282,517,1034,1551,3102
Greatest Common Factor
We found the factors 4812,3102 . The biggest common factor number is the GCF number.
So the greatest common factor 4812,3102 is 6.
Lets's calculate LCM of 80,918
2 | 80, 918 |
40, 459 |
∴ So the LCM of the given numbers is 2 x 40 x 459 = 36720
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/36720
Therefore, the GCF of Fractions 4812/80,3102/918 is 6/36720
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 80,918 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(80,918) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(80,918) x common factors =2 x 1 = 2
LCM(80,918) = ( 80 × 918 ) / 2
LCM(80,918) = 73440 / 2
LCM(80,918) = 36720
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 4812/80, 3102/918?
Answer: GCF of Numerators as per given numbers 4812/80, 3102/918 is
GCF of Numerators i.e. for 4812,3102 is 6
LCM of denominators i.e. for 80,918 is 36720.
Thus, GCF of Fractions is 6/36720.Finally, GCF of Fractions for 4812/80, 3102/918 is 6/36720.