Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 82/743,59/450,871/916
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 82,59,871
Greatest Common Factor of Numerators i.e. GCF of 82,59,871 is 1 .
LCM of Denominators means LCM of 743,450,916 as per the given fractions.
LCM of 743,450,916 is 153132300 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 82,59,871
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 82
List of positive integer factors of 82 that divides 82 without a remainder.
1,2,41,82
Factors of 59
List of positive integer factors of 59 that divides 59 without a remainder.
1,59
Factors of 871
List of positive integer factors of 871 that divides 871 without a remainder.
1,13,67,871
Greatest Common Factor
We found the factors 82,59,871 . The biggest common factor number is the GCF number.
So the greatest common factor 82,59,871 is 1.
Lets's calculate LCM of 743,450,916
2 | 743, 450, 916 |
743, 225, 458 |
∴ So the LCM of the given numbers is 2 x 743 x 225 x 458 = 153132300
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/153132300
Therefore, the GCF of Fractions 82/743,59/450,871/916 is 1/153132300
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 743,450,916 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(743,450,916) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(743,450,916) x common factors =1 x 2 = 2
LCM(743,450,916) = ( 743 × 450 × 916 ) / 2
LCM(743,450,916) = 306264600 / 2
LCM(743,450,916) = 153132300
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 82/743, 59/450, 871/916?
Answer: GCF of Numerators as per given numbers 82/743, 59/450, 871/916 is
GCF of Numerators i.e. for 82,59,871 is 1
LCM of denominators i.e. for 743,450,916 is 153132300.
Thus, GCF of Fractions is 1/153132300.Finally, GCF of Fractions for 82/743, 59/450, 871/916 is 1/153132300.