Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 691/93,436/69,430/81
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 691,436,430
Greatest Common Factor of Numerators i.e. GCF of 691,436,430 is 1 .
LCM of Denominators means LCM of 93,69,81 as per the given fractions.
LCM of 93,69,81 is 57753 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 691,436,430
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 691
List of positive integer factors of 691 that divides 691 without a remainder.
1,691
Factors of 436
List of positive integer factors of 436 that divides 436 without a remainder.
1,2,4,109,218,436
Factors of 430
List of positive integer factors of 430 that divides 430 without a remainder.
1,2,5,10,43,86,215,430
Greatest Common Factor
We found the factors 691,436,430 . The biggest common factor number is the GCF number.
So the greatest common factor 691,436,430 is 1.
Lets's calculate LCM of 93,69,81
3 | 93, 69, 81 |
31, 23, 27 |
∴ So the LCM of the given numbers is 3 x 31 x 23 x 27 = 57753
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/57753
Therefore, the GCF of Fractions 691/93,436/69,430/81 is 1/57753
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 93,69,81 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(93,69,81) = 3
common factors(in case of two or more numbers have common factors) = 3
GCF(93,69,81) x common factors =3 x 3 = 9
LCM(93,69,81) = ( 93 × 69 × 81 ) / 9
LCM(93,69,81) = 519777 / 9
LCM(93,69,81) = 57753
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 691/93, 436/69, 430/81?
Answer: GCF of Numerators as per given numbers 691/93, 436/69, 430/81 is
GCF of Numerators i.e. for 691,436,430 is 1
LCM of denominators i.e. for 93,69,81 is 57753.
Thus, GCF of Fractions is 1/57753.Finally, GCF of Fractions for 691/93, 436/69, 430/81 is 1/57753.