Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 472/729,195/627,785/523
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 472,195,785
Greatest Common Factor of Numerators i.e. GCF of 472,195,785 is 1 .
LCM of Denominators means LCM of 729,627,523 as per the given fractions.
LCM of 729,627,523 is 79684803 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 472,195,785
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 472
List of positive integer factors of 472 that divides 472 without a remainder.
1,2,4,8,59,118,236,472
Factors of 195
List of positive integer factors of 195 that divides 195 without a remainder.
1,3,5,13,15,39,65,195
Factors of 785
List of positive integer factors of 785 that divides 785 without a remainder.
1,5,157,785
Greatest Common Factor
We found the factors 472,195,785 . The biggest common factor number is the GCF number.
So the greatest common factor 472,195,785 is 1.
Lets's calculate LCM of 729,627,523
3 | 729, 627, 523 |
243, 209, 523 |
∴ So the LCM of the given numbers is 3 x 243 x 209 x 523 = 79684803
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/79684803
Therefore, the GCF of Fractions 472/729,195/627,785/523 is 1/79684803
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 729,627,523 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(729,627,523) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(729,627,523) x common factors =1 x 3 = 3
LCM(729,627,523) = ( 729 × 627 × 523 ) / 3
LCM(729,627,523) = 239054409 / 3
LCM(729,627,523) = 79684803
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 472/729, 195/627, 785/523?
Answer: GCF of Numerators as per given numbers 472/729, 195/627, 785/523 is
GCF of Numerators i.e. for 472,195,785 is 1
LCM of denominators i.e. for 729,627,523 is 79684803.
Thus, GCF of Fractions is 1/79684803.Finally, GCF of Fractions for 472/729, 195/627, 785/523 is 1/79684803.