Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6829/550,7246/666
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 6829,7246
Greatest Common Factor of Numerators i.e. GCF of 6829,7246 is 1 .
LCM of Denominators means LCM of 550,666 as per the given fractions.
LCM of 550,666 is 183150 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6829,7246
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 6829
List of positive integer factors of 6829 that divides 6829 without a remainder.
1,6829
Factors of 7246
List of positive integer factors of 7246 that divides 7246 without a remainder.
1,2,3623,7246
Greatest Common Factor
We found the factors 6829,7246 . The biggest common factor number is the GCF number.
So the greatest common factor 6829,7246 is 1.
Lets's calculate LCM of 550,666
2 | 550, 666 |
275, 333 |
∴ So the LCM of the given numbers is 2 x 275 x 333 = 183150
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/183150
Therefore, the GCF of Fractions 6829/550,7246/666 is 1/183150
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 550,666 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(550,666) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(550,666) x common factors =2 x 1 = 2
LCM(550,666) = ( 550 × 666 ) / 2
LCM(550,666) = 366300 / 2
LCM(550,666) = 183150
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 6829/550, 7246/666?
Answer: GCF of Numerators as per given numbers 6829/550, 7246/666 is
GCF of Numerators i.e. for 6829,7246 is 1
LCM of denominators i.e. for 550,666 is 183150.
Thus, GCF of Fractions is 1/183150.Finally, GCF of Fractions for 6829/550, 7246/666 is 1/183150.