Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 767/384,3293/7306
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 767,3293
Greatest Common Factor of Numerators i.e. GCF of 767,3293 is 1 .
LCM of Denominators means LCM of 384,7306 as per the given fractions.
LCM of 384,7306 is 1402752 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 767,3293
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 767
List of positive integer factors of 767 that divides 767 without a remainder.
1,13,59,767
Factors of 3293
List of positive integer factors of 3293 that divides 3293 without a remainder.
1,37,89,3293
Greatest Common Factor
We found the factors 767,3293 . The biggest common factor number is the GCF number.
So the greatest common factor 767,3293 is 1.
Lets's calculate LCM of 384,7306
2 | 384, 7306 |
192, 3653 |
∴ So the LCM of the given numbers is 2 x 192 x 3653 = 1402752
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1402752
Therefore, the GCF of Fractions 767/384,3293/7306 is 1/1402752
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 384,7306 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(384,7306) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(384,7306) x common factors =2 x 1 = 2
LCM(384,7306) = ( 384 × 7306 ) / 2
LCM(384,7306) = 2805504 / 2
LCM(384,7306) = 1402752
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 767/384, 3293/7306?
Answer: GCF of Numerators as per given numbers 767/384, 3293/7306 is
GCF of Numerators i.e. for 767,3293 is 1
LCM of denominators i.e. for 384,7306 is 1402752.
Thus, GCF of Fractions is 1/1402752.Finally, GCF of Fractions for 767/384, 3293/7306 is 1/1402752.