Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 39/285,51/1163
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 39,51
Greatest Common Factor of Numerators i.e. GCF of 39,51 is 3 .
LCM of Denominators means LCM of 285,1163 as per the given fractions.
LCM of 285,1163 is 331455 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 39,51
3 | 39, 51 |
13, 17 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 39
List of positive integer factors of 39 that divides 39 without a remainder.
1,3,13,39
Factors of 51
List of positive integer factors of 51 that divides 51 without a remainder.
1,3,17,51
Greatest Common Factor
We found the factors 39,51 . The biggest common factor number is the GCF number.
So the greatest common factor 39,51 is 3.
Lets's calculate LCM of 285,1163
Given numbers has no common factors except 1. So, there LCM is their product i.e 331455
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/331455
Therefore, the GCF of Fractions 39/285,51/1163 is 3/331455
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 285,1163 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(285,1163) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(285,1163) x common factors =1 x 1 = 1
LCM(285,1163) = ( 285 × 1163 ) / 1
LCM(285,1163) = 331455 / 1
LCM(285,1163) = 331455
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 39/285, 51/1163?
Answer: GCF of Numerators as per given numbers 39/285, 51/1163 is
GCF of Numerators i.e. for 39,51 is 3
LCM of denominators i.e. for 285,1163 is 331455.
Thus, GCF of Fractions is 3/331455.Finally, GCF of Fractions for 39/285, 51/1163 is 3/331455.