Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1639/16,7744/904
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 1639,7744
Greatest Common Factor of Numerators i.e. GCF of 1639,7744 is 11 .
LCM of Denominators means LCM of 16,904 as per the given fractions.
LCM of 16,904 is 1808 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1639,7744
11 | 1639, 7744 |
149, 704 |
∴ So the GCF of the given numbers is 11 = 11
Factors of 1639
List of positive integer factors of 1639 that divides 1639 without a remainder.
1,11,149,1639
Factors of 7744
List of positive integer factors of 7744 that divides 7744 without a remainder.
1,2,4,8,11,16,22,32,44,64,88,121,176,242,352,484,704,968,1936,3872,7744
Greatest Common Factor
We found the factors 1639,7744 . The biggest common factor number is the GCF number.
So the greatest common factor 1639,7744 is 11.
Lets's calculate LCM of 16,904
2 | 16, 904 |
2 | 8, 452 |
2 | 4, 226 |
2, 113 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 113 = 1808
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/1808
Therefore, the GCF of Fractions 1639/16,7744/904 is 11/1808
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 16,904 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(16,904) = 8
common factors(in case of two or more numbers have common factors) = 1
GCF(16,904) x common factors =8 x 1 = 8
LCM(16,904) = ( 16 × 904 ) / 8
LCM(16,904) = 14464 / 8
LCM(16,904) = 1808
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 1639/16, 7744/904?
Answer: GCF of Numerators as per given numbers 1639/16, 7744/904 is
GCF of Numerators i.e. for 1639,7744 is 11
LCM of denominators i.e. for 16,904 is 1808.
Thus, GCF of Fractions is 11/1808.Finally, GCF of Fractions for 1639/16, 7744/904 is 11/1808.