Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4426/84,3837/764
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 4426,3837
Greatest Common Factor of Numerators i.e. GCF of 4426,3837 is 1 .
LCM of Denominators means LCM of 84,764 as per the given fractions.
LCM of 84,764 is 16044 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4426,3837
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 4426
List of positive integer factors of 4426 that divides 4426 without a remainder.
1,2,2213,4426
Factors of 3837
List of positive integer factors of 3837 that divides 3837 without a remainder.
1,3,1279,3837
Greatest Common Factor
We found the factors 4426,3837 . The biggest common factor number is the GCF number.
So the greatest common factor 4426,3837 is 1.
Lets's calculate LCM of 84,764
2 | 84, 764 |
2 | 42, 382 |
21, 191 |
∴ So the LCM of the given numbers is 2 x 2 x 21 x 191 = 16044
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/16044
Therefore, the GCF of Fractions 4426/84,3837/764 is 1/16044
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 84,764 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(84,764) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(84,764) x common factors =4 x 1 = 4
LCM(84,764) = ( 84 × 764 ) / 4
LCM(84,764) = 64176 / 4
LCM(84,764) = 16044
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 4426/84, 3837/764?
Answer: GCF of Numerators as per given numbers 4426/84, 3837/764 is
GCF of Numerators i.e. for 4426,3837 is 1
LCM of denominators i.e. for 84,764 is 16044.
Thus, GCF of Fractions is 1/16044.Finally, GCF of Fractions for 4426/84, 3837/764 is 1/16044.