Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 132/38,282/29,255/865
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 132,282,255
Greatest Common Factor of Numerators i.e. GCF of 132,282,255 is 3 .
LCM of Denominators means LCM of 38,29,865 as per the given fractions.
LCM of 38,29,865 is 953230 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 132,282,255
3 | 132, 282, 255 |
44, 94, 85 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 132
List of positive integer factors of 132 that divides 132 without a remainder.
1,2,3,4,6,11,12,22,33,44,66,132
Factors of 282
List of positive integer factors of 282 that divides 282 without a remainder.
1,2,3,6,47,94,141,282
Factors of 255
List of positive integer factors of 255 that divides 255 without a remainder.
1,3,5,15,17,51,85,255
Greatest Common Factor
We found the factors 132,282,255 . The biggest common factor number is the GCF number.
So the greatest common factor 132,282,255 is 3.
Lets's calculate LCM of 38,29,865
Given numbers has no common factors except 1. So, there LCM is their product i.e 953230
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/953230
Therefore, the GCF of Fractions 132/38,282/29,255/865 is 3/953230
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 38,29,865 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(38,29,865) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(38,29,865) x common factors =1 x 1 = 1
LCM(38,29,865) = ( 38 × 29 × 865 ) / 1
LCM(38,29,865) = 953230 / 1
LCM(38,29,865) = 953230
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 132/38, 282/29, 255/865?
Answer: GCF of Numerators as per given numbers 132/38, 282/29, 255/865 is
GCF of Numerators i.e. for 132,282,255 is 3
LCM of denominators i.e. for 38,29,865 is 953230.
Thus, GCF of Fractions is 3/953230.Finally, GCF of Fractions for 132/38, 282/29, 255/865 is 3/953230.