Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 461/291,702/833,721/246
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 461,702,721
Greatest Common Factor of Numerators i.e. GCF of 461,702,721 is 1 .
LCM of Denominators means LCM of 291,833,246 as per the given fractions.
LCM of 291,833,246 is 19877046 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 461,702,721
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 461
List of positive integer factors of 461 that divides 461 without a remainder.
1,461
Factors of 702
List of positive integer factors of 702 that divides 702 without a remainder.
1,2,3,6,9,13,18,26,27,39,54,78,117,234,351,702
Factors of 721
List of positive integer factors of 721 that divides 721 without a remainder.
1,7,103,721
Greatest Common Factor
We found the factors 461,702,721 . The biggest common factor number is the GCF number.
So the greatest common factor 461,702,721 is 1.
Lets's calculate LCM of 291,833,246
3 | 291, 833, 246 |
97, 833, 82 |
∴ So the LCM of the given numbers is 3 x 97 x 833 x 82 = 19877046
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/19877046
Therefore, the GCF of Fractions 461/291,702/833,721/246 is 1/19877046
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 291,833,246 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(291,833,246) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(291,833,246) x common factors =1 x 3 = 3
LCM(291,833,246) = ( 291 × 833 × 246 ) / 3
LCM(291,833,246) = 59631138 / 3
LCM(291,833,246) = 19877046
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 461/291, 702/833, 721/246?
Answer: GCF of Numerators as per given numbers 461/291, 702/833, 721/246 is
GCF of Numerators i.e. for 461,702,721 is 1
LCM of denominators i.e. for 291,833,246 is 19877046.
Thus, GCF of Fractions is 1/19877046.Finally, GCF of Fractions for 461/291, 702/833, 721/246 is 1/19877046.