Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1435/76,2093/168
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 1435,2093
Greatest Common Factor of Numerators i.e. GCF of 1435,2093 is 7 .
LCM of Denominators means LCM of 76,168 as per the given fractions.
LCM of 76,168 is 3192 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1435,2093
7 | 1435, 2093 |
205, 299 |
∴ So the GCF of the given numbers is 7 = 7
Factors of 1435
List of positive integer factors of 1435 that divides 1435 without a remainder.
1,5,7,35,41,205,287,1435
Factors of 2093
List of positive integer factors of 2093 that divides 2093 without a remainder.
1,7,13,23,91,161,299,2093
Greatest Common Factor
We found the factors 1435,2093 . The biggest common factor number is the GCF number.
So the greatest common factor 1435,2093 is 7.
Lets's calculate LCM of 76,168
2 | 76, 168 |
2 | 38, 84 |
19, 42 |
∴ So the LCM of the given numbers is 2 x 2 x 19 x 42 = 3192
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/3192
Therefore, the GCF of Fractions 1435/76,2093/168 is 7/3192
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 76,168 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(76,168) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(76,168) x common factors =4 x 1 = 4
LCM(76,168) = ( 76 × 168 ) / 4
LCM(76,168) = 12768 / 4
LCM(76,168) = 3192
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 1435/76, 2093/168?
Answer: GCF of Numerators as per given numbers 1435/76, 2093/168 is
GCF of Numerators i.e. for 1435,2093 is 7
LCM of denominators i.e. for 76,168 is 3192.
Thus, GCF of Fractions is 7/3192.Finally, GCF of Fractions for 1435/76, 2093/168 is 7/3192.