Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3734/865,6438/914
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 3734,6438
Greatest Common Factor of Numerators i.e. GCF of 3734,6438 is 2 .
LCM of Denominators means LCM of 865,914 as per the given fractions.
LCM of 865,914 is 790610 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3734,6438
2 | 3734, 6438 |
1867, 3219 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 3734
List of positive integer factors of 3734 that divides 3734 without a remainder.
1,2,1867,3734
Factors of 6438
List of positive integer factors of 6438 that divides 6438 without a remainder.
1,2,3,6,29,37,58,74,87,111,174,222,1073,2146,3219,6438
Greatest Common Factor
We found the factors 3734,6438 . The biggest common factor number is the GCF number.
So the greatest common factor 3734,6438 is 2.
Lets's calculate LCM of 865,914
Given numbers has no common factors except 1. So, there LCM is their product i.e 790610
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/790610
Therefore, the GCF of Fractions 3734/865,6438/914 is 2/790610
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 865,914 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(865,914) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(865,914) x common factors =1 x 1 = 1
LCM(865,914) = ( 865 × 914 ) / 1
LCM(865,914) = 790610 / 1
LCM(865,914) = 790610
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 3734/865, 6438/914?
Answer: GCF of Numerators as per given numbers 3734/865, 6438/914 is
GCF of Numerators i.e. for 3734,6438 is 2
LCM of denominators i.e. for 865,914 is 790610.
Thus, GCF of Fractions is 2/790610.Finally, GCF of Fractions for 3734/865, 6438/914 is 2/790610.