Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 61/97,729/21,759/453
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 61,729,759
Greatest Common Factor of Numerators i.e. GCF of 61,729,759 is 1 .
LCM of Denominators means LCM of 97,21,453 as per the given fractions.
LCM of 97,21,453 is 307587 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 61,729,759
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 61
List of positive integer factors of 61 that divides 61 without a remainder.
1,61
Factors of 729
List of positive integer factors of 729 that divides 729 without a remainder.
1,3,9,27,81,243,729
Factors of 759
List of positive integer factors of 759 that divides 759 without a remainder.
1,3,11,23,33,69,253,759
Greatest Common Factor
We found the factors 61,729,759 . The biggest common factor number is the GCF number.
So the greatest common factor 61,729,759 is 1.
Lets's calculate LCM of 97,21,453
3 | 97, 21, 453 |
97, 7, 151 |
∴ So the LCM of the given numbers is 3 x 97 x 7 x 151 = 307587
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/307587
Therefore, the GCF of Fractions 61/97,729/21,759/453 is 1/307587
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 97,21,453 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(97,21,453) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(97,21,453) x common factors =1 x 3 = 3
LCM(97,21,453) = ( 97 × 21 × 453 ) / 3
LCM(97,21,453) = 922761 / 3
LCM(97,21,453) = 307587
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 61/97, 729/21, 759/453?
Answer: GCF of Numerators as per given numbers 61/97, 729/21, 759/453 is
GCF of Numerators i.e. for 61,729,759 is 1
LCM of denominators i.e. for 97,21,453 is 307587.
Thus, GCF of Fractions is 1/307587.Finally, GCF of Fractions for 61/97, 729/21, 759/453 is 1/307587.