Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 333/729,966/492,547/478
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 333,966,547
Greatest Common Factor of Numerators i.e. GCF of 333,966,547 is 1 .
LCM of Denominators means LCM of 729,492,478 as per the given fractions.
LCM of 729,492,478 is 28573884 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 333,966,547
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 333
List of positive integer factors of 333 that divides 333 without a remainder.
1,3,9,37,111,333
Factors of 966
List of positive integer factors of 966 that divides 966 without a remainder.
1,2,3,6,7,14,21,23,42,46,69,138,161,322,483,966
Factors of 547
List of positive integer factors of 547 that divides 547 without a remainder.
1,547
Greatest Common Factor
We found the factors 333,966,547 . The biggest common factor number is the GCF number.
So the greatest common factor 333,966,547 is 1.
Lets's calculate LCM of 729,492,478
2 | 729, 492, 478 |
3 | 729, 246, 239 |
243, 82, 239 |
∴ So the LCM of the given numbers is 2 x 3 x 243 x 82 x 239 = 28573884
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/28573884
Therefore, the GCF of Fractions 333/729,966/492,547/478 is 1/28573884
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 729,492,478 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(729,492,478) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(729,492,478) x common factors =1 x 6 = 6
LCM(729,492,478) = ( 729 × 492 × 478 ) / 6
LCM(729,492,478) = 171443304 / 6
LCM(729,492,478) = 28573884
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 333/729, 966/492, 547/478?
Answer: GCF of Numerators as per given numbers 333/729, 966/492, 547/478 is
GCF of Numerators i.e. for 333,966,547 is 1
LCM of denominators i.e. for 729,492,478 is 28573884.
Thus, GCF of Fractions is 1/28573884.Finally, GCF of Fractions for 333/729, 966/492, 547/478 is 1/28573884.