Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 96/739,800/805
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 96,800
Greatest Common Factor of Numerators i.e. GCF of 96,800 is 32 .
LCM of Denominators means LCM of 739,805 as per the given fractions.
LCM of 739,805 is 594895 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 96,800
2 | 96, 800 |
2 | 48, 400 |
2 | 24, 200 |
2 | 12, 100 |
2 | 6, 50 |
3, 25 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 x 2 = 32
Factors of 96
List of positive integer factors of 96 that divides 96 without a remainder.
1,2,3,4,6,8,12,16,24,32,48,96
Factors of 800
List of positive integer factors of 800 that divides 800 without a remainder.
1,2,4,5,8,10,16,20,25,32,40,50,80,100,160,200,400,800
Greatest Common Factor
We found the factors 96,800 . The biggest common factor number is the GCF number.
So the greatest common factor 96,800 is 32.
Lets's calculate LCM of 739,805
Given numbers has no common factors except 1. So, there LCM is their product i.e 594895
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 32/594895
Therefore, the GCF of Fractions 96/739,800/805 is 32/594895
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 739,805 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(739,805) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(739,805) x common factors =1 x 1 = 1
LCM(739,805) = ( 739 × 805 ) / 1
LCM(739,805) = 594895 / 1
LCM(739,805) = 594895
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 96/739, 800/805?
Answer: GCF of Numerators as per given numbers 96/739, 800/805 is
GCF of Numerators i.e. for 96,800 is 32
LCM of denominators i.e. for 739,805 is 594895.
Thus, GCF of Fractions is 32/594895.Finally, GCF of Fractions for 96/739, 800/805 is 32/594895.