Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 726/323,175/497,428/392
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 726,175,428
Greatest Common Factor of Numerators i.e. GCF of 726,175,428 is 1 .
LCM of Denominators means LCM of 323,497,392 as per the given fractions.
LCM of 323,497,392 is 8989736 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 726,175,428
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 726
List of positive integer factors of 726 that divides 726 without a remainder.
1,2,3,6,11,22,33,66,121,242,363,726
Factors of 175
List of positive integer factors of 175 that divides 175 without a remainder.
1,5,7,25,35,175
Factors of 428
List of positive integer factors of 428 that divides 428 without a remainder.
1,2,4,107,214,428
Greatest Common Factor
We found the factors 726,175,428 . The biggest common factor number is the GCF number.
So the greatest common factor 726,175,428 is 1.
Lets's calculate LCM of 323,497,392
7 | 323, 497, 392 |
323, 71, 56 |
∴ So the LCM of the given numbers is 7 x 323 x 71 x 56 = 8989736
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8989736
Therefore, the GCF of Fractions 726/323,175/497,428/392 is 1/8989736
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 323,497,392 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(323,497,392) = 1
common factors(in case of two or more numbers have common factors) = 7
GCF(323,497,392) x common factors =1 x 7 = 7
LCM(323,497,392) = ( 323 × 497 × 392 ) / 7
LCM(323,497,392) = 62928152 / 7
LCM(323,497,392) = 8989736
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 726/323, 175/497, 428/392?
Answer: GCF of Numerators as per given numbers 726/323, 175/497, 428/392 is
GCF of Numerators i.e. for 726,175,428 is 1
LCM of denominators i.e. for 323,497,392 is 8989736.
Thus, GCF of Fractions is 1/8989736.Finally, GCF of Fractions for 726/323, 175/497, 428/392 is 1/8989736.