Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 255/41,608/64,873/996
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 255,608,873
Greatest Common Factor of Numerators i.e. GCF of 255,608,873 is 1 .
LCM of Denominators means LCM of 41,64,996 as per the given fractions.
LCM of 41,64,996 is 653376 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 255,608,873
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 255
List of positive integer factors of 255 that divides 255 without a remainder.
1,3,5,15,17,51,85,255
Factors of 608
List of positive integer factors of 608 that divides 608 without a remainder.
1,2,4,8,16,19,32,38,76,152,304,608
Factors of 873
List of positive integer factors of 873 that divides 873 without a remainder.
1,3,9,97,291,873
Greatest Common Factor
We found the factors 255,608,873 . The biggest common factor number is the GCF number.
So the greatest common factor 255,608,873 is 1.
Lets's calculate LCM of 41,64,996
2 | 41, 64, 996 |
2 | 41, 32, 498 |
41, 16, 249 |
∴ So the LCM of the given numbers is 2 x 2 x 41 x 16 x 249 = 653376
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/653376
Therefore, the GCF of Fractions 255/41,608/64,873/996 is 1/653376
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 41,64,996 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(41,64,996) = 1
common factors(in case of two or more numbers have common factors) = 4
GCF(41,64,996) x common factors =1 x 4 = 4
LCM(41,64,996) = ( 41 × 64 × 996 ) / 4
LCM(41,64,996) = 2613504 / 4
LCM(41,64,996) = 653376
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 255/41, 608/64, 873/996?
Answer: GCF of Numerators as per given numbers 255/41, 608/64, 873/996 is
GCF of Numerators i.e. for 255,608,873 is 1
LCM of denominators i.e. for 41,64,996 is 653376.
Thus, GCF of Fractions is 1/653376.Finally, GCF of Fractions for 255/41, 608/64, 873/996 is 1/653376.