Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 227/318,626/180,263/714
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 227,626,263
Greatest Common Factor of Numerators i.e. GCF of 227,626,263 is 1 .
LCM of Denominators means LCM of 318,180,714 as per the given fractions.
LCM of 318,180,714 is 1135260 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 227,626,263
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 227
List of positive integer factors of 227 that divides 227 without a remainder.
1,227
Factors of 626
List of positive integer factors of 626 that divides 626 without a remainder.
1,2,313,626
Factors of 263
List of positive integer factors of 263 that divides 263 without a remainder.
1,263
Greatest Common Factor
We found the factors 227,626,263 . The biggest common factor number is the GCF number.
So the greatest common factor 227,626,263 is 1.
Lets's calculate LCM of 318,180,714
2 | 318, 180, 714 |
3 | 159, 90, 357 |
53, 30, 119 |
∴ So the LCM of the given numbers is 2 x 3 x 53 x 30 x 119 = 1135260
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1135260
Therefore, the GCF of Fractions 227/318,626/180,263/714 is 1/1135260
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 318,180,714 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(318,180,714) = 6
common factors(in case of two or more numbers have common factors) = 6
GCF(318,180,714) x common factors =6 x 6 = 36
LCM(318,180,714) = ( 318 × 180 × 714 ) / 36
LCM(318,180,714) = 40869360 / 36
LCM(318,180,714) = 1135260
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 227/318, 626/180, 263/714?
Answer: GCF of Numerators as per given numbers 227/318, 626/180, 263/714 is
GCF of Numerators i.e. for 227,626,263 is 1
LCM of denominators i.e. for 318,180,714 is 1135260.
Thus, GCF of Fractions is 1/1135260.Finally, GCF of Fractions for 227/318, 626/180, 263/714 is 1/1135260.