Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6304/182,4414/2772
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 6304,4414
Greatest Common Factor of Numerators i.e. GCF of 6304,4414 is 2 .
LCM of Denominators means LCM of 182,2772 as per the given fractions.
LCM of 182,2772 is 36036 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6304,4414
2 | 6304, 4414 |
3152, 2207 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 6304
List of positive integer factors of 6304 that divides 6304 without a remainder.
1,2,4,8,16,32,197,394,788,1576,3152,6304
Factors of 4414
List of positive integer factors of 4414 that divides 4414 without a remainder.
1,2,2207,4414
Greatest Common Factor
We found the factors 6304,4414 . The biggest common factor number is the GCF number.
So the greatest common factor 6304,4414 is 2.
Lets's calculate LCM of 182,2772
2 | 182, 2772 |
7 | 91, 1386 |
13, 198 |
∴ So the LCM of the given numbers is 2 x 7 x 13 x 198 = 36036
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/36036
Therefore, the GCF of Fractions 6304/182,4414/2772 is 2/36036
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 182,2772 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(182,2772) = 14
common factors(in case of two or more numbers have common factors) = 1
GCF(182,2772) x common factors =14 x 1 = 14
LCM(182,2772) = ( 182 × 2772 ) / 14
LCM(182,2772) = 504504 / 14
LCM(182,2772) = 36036
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 6304/182, 4414/2772?
Answer: GCF of Numerators as per given numbers 6304/182, 4414/2772 is
GCF of Numerators i.e. for 6304,4414 is 2
LCM of denominators i.e. for 182,2772 is 36036.
Thus, GCF of Fractions is 2/36036.Finally, GCF of Fractions for 6304/182, 4414/2772 is 2/36036.