Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4428/406,7339/182
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 4428,7339
Greatest Common Factor of Numerators i.e. GCF of 4428,7339 is 41 .
LCM of Denominators means LCM of 406,182 as per the given fractions.
LCM of 406,182 is 5278 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4428,7339
41 | 4428, 7339 |
108, 179 |
∴ So the GCF of the given numbers is 41 = 41
Factors of 4428
List of positive integer factors of 4428 that divides 4428 without a remainder.
1,2,3,4,6,9,12,18,27,36,41,54,82,108,123,164,246,369,492,738,1107,1476,2214,4428
Factors of 7339
List of positive integer factors of 7339 that divides 7339 without a remainder.
1,41,179,7339
Greatest Common Factor
We found the factors 4428,7339 . The biggest common factor number is the GCF number.
So the greatest common factor 4428,7339 is 41.
Lets's calculate LCM of 406,182
2 | 406, 182 |
7 | 203, 91 |
29, 13 |
∴ So the LCM of the given numbers is 2 x 7 x 29 x 13 = 5278
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 41/5278
Therefore, the GCF of Fractions 4428/406,7339/182 is 41/5278
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 406,182 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(406,182) = 14
common factors(in case of two or more numbers have common factors) = 1
GCF(406,182) x common factors =14 x 1 = 14
LCM(406,182) = ( 406 × 182 ) / 14
LCM(406,182) = 73892 / 14
LCM(406,182) = 5278
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 4428/406, 7339/182?
Answer: GCF of Numerators as per given numbers 4428/406, 7339/182 is
GCF of Numerators i.e. for 4428,7339 is 41
LCM of denominators i.e. for 406,182 is 5278.
Thus, GCF of Fractions is 41/5278.Finally, GCF of Fractions for 4428/406, 7339/182 is 41/5278.