Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 81/45,99/69,611/547
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 81,99,611
Greatest Common Factor of Numerators i.e. GCF of 81,99,611 is 1 .
LCM of Denominators means LCM of 45,69,547 as per the given fractions.
LCM of 45,69,547 is 566145 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 81,99,611
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 81
List of positive integer factors of 81 that divides 81 without a remainder.
1,3,9,27,81
Factors of 99
List of positive integer factors of 99 that divides 99 without a remainder.
1,3,9,11,33,99
Factors of 611
List of positive integer factors of 611 that divides 611 without a remainder.
1,13,47,611
Greatest Common Factor
We found the factors 81,99,611 . The biggest common factor number is the GCF number.
So the greatest common factor 81,99,611 is 1.
Lets's calculate LCM of 45,69,547
3 | 45, 69, 547 |
15, 23, 547 |
∴ So the LCM of the given numbers is 3 x 15 x 23 x 547 = 566145
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/566145
Therefore, the GCF of Fractions 81/45,99/69,611/547 is 1/566145
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 45,69,547 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(45,69,547) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(45,69,547) x common factors =1 x 3 = 3
LCM(45,69,547) = ( 45 × 69 × 547 ) / 3
LCM(45,69,547) = 1698435 / 3
LCM(45,69,547) = 566145
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 81/45, 99/69, 611/547?
Answer: GCF of Numerators as per given numbers 81/45, 99/69, 611/547 is
GCF of Numerators i.e. for 81,99,611 is 1
LCM of denominators i.e. for 45,69,547 is 566145.
Thus, GCF of Fractions is 1/566145.Finally, GCF of Fractions for 81/45, 99/69, 611/547 is 1/566145.