Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 254/44,826/286
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 254,826
Greatest Common Factor of Numerators i.e. GCF of 254,826 is 2 .
LCM of Denominators means LCM of 44,286 as per the given fractions.
LCM of 44,286 is 572 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 254,826
2 | 254, 826 |
127, 413 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 254
List of positive integer factors of 254 that divides 254 without a remainder.
1,2,127,254
Factors of 826
List of positive integer factors of 826 that divides 826 without a remainder.
1,2,7,14,59,118,413,826
Greatest Common Factor
We found the factors 254,826 . The biggest common factor number is the GCF number.
So the greatest common factor 254,826 is 2.
Lets's calculate LCM of 44,286
2 | 44, 286 |
11 | 22, 143 |
2, 13 |
∴ So the LCM of the given numbers is 2 x 11 x 2 x 13 = 572
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/572
Therefore, the GCF of Fractions 254/44,826/286 is 2/572
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 44,286 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(44,286) = 22
common factors(in case of two or more numbers have common factors) = 1
GCF(44,286) x common factors =22 x 1 = 22
LCM(44,286) = ( 44 × 286 ) / 22
LCM(44,286) = 12584 / 22
LCM(44,286) = 572
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 254/44, 826/286?
Answer: GCF of Numerators as per given numbers 254/44, 826/286 is
GCF of Numerators i.e. for 254,826 is 2
LCM of denominators i.e. for 44,286 is 572.
Thus, GCF of Fractions is 2/572.Finally, GCF of Fractions for 254/44, 826/286 is 2/572.