Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 905/328,9828/1726
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 905,9828
Greatest Common Factor of Numerators i.e. GCF of 905,9828 is 1 .
LCM of Denominators means LCM of 328,1726 as per the given fractions.
LCM of 328,1726 is 283064 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 905,9828
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 905
List of positive integer factors of 905 that divides 905 without a remainder.
1,5,181,905
Factors of 9828
List of positive integer factors of 9828 that divides 9828 without a remainder.
1,2,3,4,6,7,9,12,13,14,18,21,26,27,28,36,39,42,52,54,63,78,84,91,108,117,126,156,182,189,234,252,273,351,364,378,468,546,702,756,819,1092,1404,1638,2457,3276,4914,9828
Greatest Common Factor
We found the factors 905,9828 . The biggest common factor number is the GCF number.
So the greatest common factor 905,9828 is 1.
Lets's calculate LCM of 328,1726
2 | 328, 1726 |
164, 863 |
∴ So the LCM of the given numbers is 2 x 164 x 863 = 283064
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/283064
Therefore, the GCF of Fractions 905/328,9828/1726 is 1/283064
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 328,1726 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(328,1726) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(328,1726) x common factors =2 x 1 = 2
LCM(328,1726) = ( 328 × 1726 ) / 2
LCM(328,1726) = 566128 / 2
LCM(328,1726) = 283064
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 905/328, 9828/1726?
Answer: GCF of Numerators as per given numbers 905/328, 9828/1726 is
GCF of Numerators i.e. for 905,9828 is 1
LCM of denominators i.e. for 328,1726 is 283064.
Thus, GCF of Fractions is 1/283064.Finally, GCF of Fractions for 905/328, 9828/1726 is 1/283064.