Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 255/550,3078/824
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 255,3078
Greatest Common Factor of Numerators i.e. GCF of 255,3078 is 3 .
LCM of Denominators means LCM of 550,824 as per the given fractions.
LCM of 550,824 is 226600 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 255,3078
3 | 255, 3078 |
85, 1026 |
∴ So the GCF of the given numbers is 3 = 3
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 3078
List of positive integer factors of 3078 that divides 3078 without a remainder.
1,2,3,6,9,18,19,27,38,54,57,81,114,162,171,342,513,1026,1539,3078
Greatest Common Factor
We found the factors 255,3078 . The biggest common factor number is the GCF number.
So the greatest common factor 255,3078 is 3.
Lets's calculate LCM of 550,824
2 | 550, 824 |
275, 412 |
∴ So the LCM of the given numbers is 2 x 275 x 412 = 226600
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/226600
Therefore, the GCF of Fractions 255/550,3078/824 is 3/226600
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 550,824 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(550,824) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(550,824) x common factors =2 x 1 = 2
LCM(550,824) = ( 550 × 824 ) / 2
LCM(550,824) = 453200 / 2
LCM(550,824) = 226600
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 255/550, 3078/824?
Answer: GCF of Numerators as per given numbers 255/550, 3078/824 is
GCF of Numerators i.e. for 255,3078 is 3
LCM of denominators i.e. for 550,824 is 226600.
Thus, GCF of Fractions is 3/226600.Finally, GCF of Fractions for 255/550, 3078/824 is 3/226600.