Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 789/66,7104/674
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 789,7104
Greatest Common Factor of Numerators i.e. GCF of 789,7104 is 3 .
LCM of Denominators means LCM of 66,674 as per the given fractions.
LCM of 66,674 is 22242 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 789,7104
3 | 789, 7104 |
263, 2368 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 789
List of positive integer factors of 789 that divides 789 without a remainder.
1,3,263,789
Factors of 7104
List of positive integer factors of 7104 that divides 7104 without a remainder.
1,2,3,4,6,8,12,16,24,32,37,48,64,74,96,111,148,192,222,296,444,592,888,1184,1776,2368,3552,7104
Greatest Common Factor
We found the factors 789,7104 . The biggest common factor number is the GCF number.
So the greatest common factor 789,7104 is 3.
Lets's calculate LCM of 66,674
2 | 66, 674 |
33, 337 |
∴ So the LCM of the given numbers is 2 x 33 x 337 = 22242
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/22242
Therefore, the GCF of Fractions 789/66,7104/674 is 3/22242
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 66,674 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(66,674) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(66,674) x common factors =2 x 1 = 2
LCM(66,674) = ( 66 × 674 ) / 2
LCM(66,674) = 44484 / 2
LCM(66,674) = 22242
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 789/66, 7104/674?
Answer: GCF of Numerators as per given numbers 789/66, 7104/674 is
GCF of Numerators i.e. for 789,7104 is 3
LCM of denominators i.e. for 66,674 is 22242.
Thus, GCF of Fractions is 3/22242.Finally, GCF of Fractions for 789/66, 7104/674 is 3/22242.