Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 281/936,468/250,500/658
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 281,468,500
Greatest Common Factor of Numerators i.e. GCF of 281,468,500 is 1 .
LCM of Denominators means LCM of 936,250,658 as per the given fractions.
LCM of 936,250,658 is 38493000 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 281,468,500
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 281
List of positive integer factors of 281 that divides 281 without a remainder.
1,281
Factors of 468
List of positive integer factors of 468 that divides 468 without a remainder.
1,2,3,4,6,9,12,13,18,26,36,39,52,78,117,156,234,468
Factors of 500
List of positive integer factors of 500 that divides 500 without a remainder.
1,2,4,5,10,20,25,50,100,125,250,500
Greatest Common Factor
We found the factors 281,468,500 . The biggest common factor number is the GCF number.
So the greatest common factor 281,468,500 is 1.
Lets's calculate LCM of 936,250,658
2 | 936, 250, 658 |
468, 125, 329 |
∴ So the LCM of the given numbers is 2 x 468 x 125 x 329 = 38493000
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/38493000
Therefore, the GCF of Fractions 281/936,468/250,500/658 is 1/38493000
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 936,250,658 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(936,250,658) = 2
common factors(in case of two or more numbers have common factors) = 2
GCF(936,250,658) x common factors =2 x 2 = 4
LCM(936,250,658) = ( 936 × 250 × 658 ) / 4
LCM(936,250,658) = 153972000 / 4
LCM(936,250,658) = 38493000
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 281/936, 468/250, 500/658?
Answer: GCF of Numerators as per given numbers 281/936, 468/250, 500/658 is
GCF of Numerators i.e. for 281,468,500 is 1
LCM of denominators i.e. for 936,250,658 is 38493000.
Thus, GCF of Fractions is 1/38493000.Finally, GCF of Fractions for 281/936, 468/250, 500/658 is 1/38493000.