Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6780/49,1323/461
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 6780,1323
Greatest Common Factor of Numerators i.e. GCF of 6780,1323 is 3 .
LCM of Denominators means LCM of 49,461 as per the given fractions.
LCM of 49,461 is 22589 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6780,1323
3 | 6780, 1323 |
2260, 441 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 6780
List of positive integer factors of 6780 that divides 6780 without a remainder.
1,2,3,4,5,6,10,12,15,20,30,60,113,226,339,452,565,678,1130,1356,1695,2260,3390,6780
Factors of 1323
List of positive integer factors of 1323 that divides 1323 without a remainder.
1,3,7,9,21,27,49,63,147,189,441,1323
Greatest Common Factor
We found the factors 6780,1323 . The biggest common factor number is the GCF number.
So the greatest common factor 6780,1323 is 3.
Lets's calculate LCM of 49,461
Given numbers has no common factors except 1. So, there LCM is their product i.e 22589
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/22589
Therefore, the GCF of Fractions 6780/49,1323/461 is 3/22589
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 49,461 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(49,461) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(49,461) x common factors =1 x 1 = 1
LCM(49,461) = ( 49 × 461 ) / 1
LCM(49,461) = 22589 / 1
LCM(49,461) = 22589
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 6780/49, 1323/461?
Answer: GCF of Numerators as per given numbers 6780/49, 1323/461 is
GCF of Numerators i.e. for 6780,1323 is 3
LCM of denominators i.e. for 49,461 is 22589.
Thus, GCF of Fractions is 3/22589.Finally, GCF of Fractions for 6780/49, 1323/461 is 3/22589.