Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 962/255,3369/799
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 962,3369
Greatest Common Factor of Numerators i.e. GCF of 962,3369 is 1 .
LCM of Denominators means LCM of 255,799 as per the given fractions.
LCM of 255,799 is 11985 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 962,3369
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 962
List of positive integer factors of 962 that divides 962 without a remainder.
1,2,13,26,37,74,481,962
Factors of 3369
List of positive integer factors of 3369 that divides 3369 without a remainder.
1,3,1123,3369
Greatest Common Factor
We found the factors 962,3369 . The biggest common factor number is the GCF number.
So the greatest common factor 962,3369 is 1.
Lets's calculate LCM of 255,799
17 | 255, 799 |
15, 47 |
∴ So the LCM of the given numbers is 17 x 15 x 47 = 11985
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/11985
Therefore, the GCF of Fractions 962/255,3369/799 is 1/11985
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 255,799 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(255,799) = 17
common factors(in case of two or more numbers have common factors) = 1
GCF(255,799) x common factors =17 x 1 = 17
LCM(255,799) = ( 255 × 799 ) / 17
LCM(255,799) = 203745 / 17
LCM(255,799) = 11985
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 962/255, 3369/799?
Answer: GCF of Numerators as per given numbers 962/255, 3369/799 is
GCF of Numerators i.e. for 962,3369 is 1
LCM of denominators i.e. for 255,799 is 11985.
Thus, GCF of Fractions is 1/11985.Finally, GCF of Fractions for 962/255, 3369/799 is 1/11985.