Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1994/96,3524/354
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 1994,3524
Greatest Common Factor of Numerators i.e. GCF of 1994,3524 is 2 .
LCM of Denominators means LCM of 96,354 as per the given fractions.
LCM of 96,354 is 5664 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1994,3524
2 | 1994, 3524 |
997, 1762 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 1994
List of positive integer factors of 1994 that divides 1994 without a remainder.
1,2,997,1994
Factors of 3524
List of positive integer factors of 3524 that divides 3524 without a remainder.
1,2,4,881,1762,3524
Greatest Common Factor
We found the factors 1994,3524 . The biggest common factor number is the GCF number.
So the greatest common factor 1994,3524 is 2.
Lets's calculate LCM of 96,354
2 | 96, 354 |
3 | 48, 177 |
16, 59 |
∴ So the LCM of the given numbers is 2 x 3 x 16 x 59 = 5664
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/5664
Therefore, the GCF of Fractions 1994/96,3524/354 is 2/5664
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 96,354 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(96,354) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(96,354) x common factors =6 x 1 = 6
LCM(96,354) = ( 96 × 354 ) / 6
LCM(96,354) = 33984 / 6
LCM(96,354) = 5664
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 1994/96, 3524/354?
Answer: GCF of Numerators as per given numbers 1994/96, 3524/354 is
GCF of Numerators i.e. for 1994,3524 is 2
LCM of denominators i.e. for 96,354 is 5664.
Thus, GCF of Fractions is 2/5664.Finally, GCF of Fractions for 1994/96, 3524/354 is 2/5664.