Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5836/387,4900/826
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 5836,4900
Greatest Common Factor of Numerators i.e. GCF of 5836,4900 is 4 .
LCM of Denominators means LCM of 387,826 as per the given fractions.
LCM of 387,826 is 319662 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5836,4900
2 | 5836, 4900 |
2 | 2918, 2450 |
1459, 1225 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Factors of 5836
List of positive integer factors of 5836 that divides 5836 without a remainder.
1,2,4,1459,2918,5836
Factors of 4900
List of positive integer factors of 4900 that divides 4900 without a remainder.
1,2,4,5,7,10,14,20,25,28,35,49,50,70,98,100,140,175,196,245,350,490,700,980,1225,2450,4900
Greatest Common Factor
We found the factors 5836,4900 . The biggest common factor number is the GCF number.
So the greatest common factor 5836,4900 is 4.
Lets's calculate LCM of 387,826
Given numbers has no common factors except 1. So, there LCM is their product i.e 319662
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/319662
Therefore, the GCF of Fractions 5836/387,4900/826 is 4/319662
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 387,826 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(387,826) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(387,826) x common factors =1 x 1 = 1
LCM(387,826) = ( 387 × 826 ) / 1
LCM(387,826) = 319662 / 1
LCM(387,826) = 319662
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 5836/387, 4900/826?
Answer: GCF of Numerators as per given numbers 5836/387, 4900/826 is
GCF of Numerators i.e. for 5836,4900 is 4
LCM of denominators i.e. for 387,826 is 319662.
Thus, GCF of Fractions is 4/319662.Finally, GCF of Fractions for 5836/387, 4900/826 is 4/319662.