Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 297/16,981/31,743/962
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 297,981,743
Greatest Common Factor of Numerators i.e. GCF of 297,981,743 is 1 .
LCM of Denominators means LCM of 16,31,962 as per the given fractions.
LCM of 16,31,962 is 238576 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 297,981,743
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 297
List of positive integer factors of 297 that divides 297 without a remainder.
1,3,9,11,27,33,99,297
Factors of 981
List of positive integer factors of 981 that divides 981 without a remainder.
1,3,9,109,327,981
Factors of 743
List of positive integer factors of 743 that divides 743 without a remainder.
1,743
Greatest Common Factor
We found the factors 297,981,743 . The biggest common factor number is the GCF number.
So the greatest common factor 297,981,743 is 1.
Lets's calculate LCM of 16,31,962
2 | 16, 31, 962 |
8, 31, 481 |
∴ So the LCM of the given numbers is 2 x 8 x 31 x 481 = 238576
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/238576
Therefore, the GCF of Fractions 297/16,981/31,743/962 is 1/238576
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 16,31,962 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(16,31,962) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(16,31,962) x common factors =1 x 2 = 2
LCM(16,31,962) = ( 16 × 31 × 962 ) / 2
LCM(16,31,962) = 477152 / 2
LCM(16,31,962) = 238576
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 297/16, 981/31, 743/962?
Answer: GCF of Numerators as per given numbers 297/16, 981/31, 743/962 is
GCF of Numerators i.e. for 297,981,743 is 1
LCM of denominators i.e. for 16,31,962 is 238576.
Thus, GCF of Fractions is 1/238576.Finally, GCF of Fractions for 297/16, 981/31, 743/962 is 1/238576.