Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4878/36,4696/742
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 4878,4696
Greatest Common Factor of Numerators i.e. GCF of 4878,4696 is 2 .
LCM of Denominators means LCM of 36,742 as per the given fractions.
LCM of 36,742 is 13356 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4878,4696
2 | 4878, 4696 |
2439, 2348 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 4878
List of positive integer factors of 4878 that divides 4878 without a remainder.
1,2,3,6,9,18,271,542,813,1626,2439,4878
Factors of 4696
List of positive integer factors of 4696 that divides 4696 without a remainder.
1,2,4,8,587,1174,2348,4696
Greatest Common Factor
We found the factors 4878,4696 . The biggest common factor number is the GCF number.
So the greatest common factor 4878,4696 is 2.
Lets's calculate LCM of 36,742
2 | 36, 742 |
18, 371 |
∴ So the LCM of the given numbers is 2 x 18 x 371 = 13356
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/13356
Therefore, the GCF of Fractions 4878/36,4696/742 is 2/13356
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 36,742 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(36,742) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(36,742) x common factors =2 x 1 = 2
LCM(36,742) = ( 36 × 742 ) / 2
LCM(36,742) = 26712 / 2
LCM(36,742) = 13356
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 4878/36, 4696/742?
Answer: GCF of Numerators as per given numbers 4878/36, 4696/742 is
GCF of Numerators i.e. for 4878,4696 is 2
LCM of denominators i.e. for 36,742 is 13356.
Thus, GCF of Fractions is 2/13356.Finally, GCF of Fractions for 4878/36, 4696/742 is 2/13356.