Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 458/600,903/120,805/527
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 458,903,805
Greatest Common Factor of Numerators i.e. GCF of 458,903,805 is 1 .
LCM of Denominators means LCM of 600,120,527 as per the given fractions.
LCM of 600,120,527 is 316200 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 458,903,805
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 458
List of positive integer factors of 458 that divides 458 without a remainder.
1,2,229,458
Factors of 903
List of positive integer factors of 903 that divides 903 without a remainder.
1,3,7,21,43,129,301,903
Factors of 805
List of positive integer factors of 805 that divides 805 without a remainder.
1,5,7,23,35,115,161,805
Greatest Common Factor
We found the factors 458,903,805 . The biggest common factor number is the GCF number.
So the greatest common factor 458,903,805 is 1.
Lets's calculate LCM of 600,120,527
2 | 600, 120, 527 |
2 | 300, 60, 527 |
2 | 150, 30, 527 |
3 | 75, 15, 527 |
5 | 25, 5, 527 |
1, 5, 527 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 5 x 1 x 5 x 527 = 316200
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/316200
Therefore, the GCF of Fractions 458/600,903/120,805/527 is 1/316200
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 600,120,527 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(600,120,527) = 1
common factors(in case of two or more numbers have common factors) = 120
GCF(600,120,527) x common factors =1 x 120 = 120
LCM(600,120,527) = ( 600 × 120 × 527 ) / 120
LCM(600,120,527) = 37944000 / 120
LCM(600,120,527) = 316200
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 458/600, 903/120, 805/527?
Answer: GCF of Numerators as per given numbers 458/600, 903/120, 805/527 is
GCF of Numerators i.e. for 458,903,805 is 1
LCM of denominators i.e. for 600,120,527 is 316200.
Thus, GCF of Fractions is 1/316200.Finally, GCF of Fractions for 458/600, 903/120, 805/527 is 1/316200.