Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 280/638,1891/914
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 280,1891
Greatest Common Factor of Numerators i.e. GCF of 280,1891 is 1 .
LCM of Denominators means LCM of 638,914 as per the given fractions.
LCM of 638,914 is 291566 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 280,1891
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 280
List of positive integer factors of 280 that divides 280 without a remainder.
1,2,4,5,7,8,10,14,20,28,35,40,56,70,140,280
Factors of 1891
List of positive integer factors of 1891 that divides 1891 without a remainder.
1,31,61,1891
Greatest Common Factor
We found the factors 280,1891 . The biggest common factor number is the GCF number.
So the greatest common factor 280,1891 is 1.
Lets's calculate LCM of 638,914
2 | 638, 914 |
319, 457 |
∴ So the LCM of the given numbers is 2 x 319 x 457 = 291566
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/291566
Therefore, the GCF of Fractions 280/638,1891/914 is 1/291566
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 638,914 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(638,914) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(638,914) x common factors =2 x 1 = 2
LCM(638,914) = ( 638 × 914 ) / 2
LCM(638,914) = 583132 / 2
LCM(638,914) = 291566
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 280/638, 1891/914?
Answer: GCF of Numerators as per given numbers 280/638, 1891/914 is
GCF of Numerators i.e. for 280,1891 is 1
LCM of denominators i.e. for 638,914 is 291566.
Thus, GCF of Fractions is 1/291566.Finally, GCF of Fractions for 280/638, 1891/914 is 1/291566.