Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5038/544,3064/476
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 5038,3064
Greatest Common Factor of Numerators i.e. GCF of 5038,3064 is 2 .
LCM of Denominators means LCM of 544,476 as per the given fractions.
LCM of 544,476 is 3808 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5038,3064
2 | 5038, 3064 |
2519, 1532 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 5038
List of positive integer factors of 5038 that divides 5038 without a remainder.
1,2,11,22,229,458,2519,5038
Factors of 3064
List of positive integer factors of 3064 that divides 3064 without a remainder.
1,2,4,8,383,766,1532,3064
Greatest Common Factor
We found the factors 5038,3064 . The biggest common factor number is the GCF number.
So the greatest common factor 5038,3064 is 2.
Lets's calculate LCM of 544,476
2 | 544, 476 |
2 | 272, 238 |
17 | 136, 119 |
8, 7 |
∴ So the LCM of the given numbers is 2 x 2 x 17 x 8 x 7 = 3808
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3808
Therefore, the GCF of Fractions 5038/544,3064/476 is 2/3808
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 544,476 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(544,476) = 68
common factors(in case of two or more numbers have common factors) = 1
GCF(544,476) x common factors =68 x 1 = 68
LCM(544,476) = ( 544 × 476 ) / 68
LCM(544,476) = 258944 / 68
LCM(544,476) = 3808
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 5038/544, 3064/476?
Answer: GCF of Numerators as per given numbers 5038/544, 3064/476 is
GCF of Numerators i.e. for 5038,3064 is 2
LCM of denominators i.e. for 544,476 is 3808.
Thus, GCF of Fractions is 2/3808.Finally, GCF of Fractions for 5038/544, 3064/476 is 2/3808.