Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4879/26,3808/678
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 4879,3808
Greatest Common Factor of Numerators i.e. GCF of 4879,3808 is 119 .
LCM of Denominators means LCM of 26,678 as per the given fractions.
LCM of 26,678 is 8814 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4879,3808
7 | 4879, 3808 |
17 | 697, 544 |
41, 32 |
∴ So the GCF of the given numbers is 7 x 17 = 119
Factors of 4879
List of positive integer factors of 4879 that divides 4879 without a remainder.
1,7,17,41,119,287,697,4879
Factors of 3808
List of positive integer factors of 3808 that divides 3808 without a remainder.
1,2,4,7,8,14,16,17,28,32,34,56,68,112,119,136,224,238,272,476,544,952,1904,3808
Greatest Common Factor
We found the factors 4879,3808 . The biggest common factor number is the GCF number.
So the greatest common factor 4879,3808 is 119.
Lets's calculate LCM of 26,678
2 | 26, 678 |
13, 339 |
∴ So the LCM of the given numbers is 2 x 13 x 339 = 8814
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 119/8814
Therefore, the GCF of Fractions 4879/26,3808/678 is 119/8814
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 26,678 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(26,678) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(26,678) x common factors =2 x 1 = 2
LCM(26,678) = ( 26 × 678 ) / 2
LCM(26,678) = 17628 / 2
LCM(26,678) = 8814
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 4879/26, 3808/678?
Answer: GCF of Numerators as per given numbers 4879/26, 3808/678 is
GCF of Numerators i.e. for 4879,3808 is 119
LCM of denominators i.e. for 26,678 is 8814.
Thus, GCF of Fractions is 119/8814.Finally, GCF of Fractions for 4879/26, 3808/678 is 119/8814.