Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 32/92,14/99,800/929
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 32,14,800
Greatest Common Factor of Numerators i.e. GCF of 32,14,800 is 2 .
LCM of Denominators means LCM of 92,99,929 as per the given fractions.
LCM of 92,99,929 is 8461332 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 32,14,800
2 | 32, 14, 800 |
16, 7, 400 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 32
List of positive integer factors of 32 that divides 32 without a remainder.
1,2,4,8,16,32
Factors of 14
List of positive integer factors of 14 that divides 14 without a remainder.
1,2,7,14
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 32,14,800 . The biggest common factor number is the GCF number.
So the greatest common factor 32,14,800 is 2.
Lets's calculate LCM of 92,99,929
Given numbers has no common factors except 1. So, there LCM is their product i.e 8461332
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/8461332
Therefore, the GCF of Fractions 32/92,14/99,800/929 is 2/8461332
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 92,99,929 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(92,99,929) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(92,99,929) x common factors =1 x 1 = 1
LCM(92,99,929) = ( 92 × 99 × 929 ) / 1
LCM(92,99,929) = 8461332 / 1
LCM(92,99,929) = 8461332
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 32/92, 14/99, 800/929?
Answer: GCF of Numerators as per given numbers 32/92, 14/99, 800/929 is
GCF of Numerators i.e. for 32,14,800 is 2
LCM of denominators i.e. for 92,99,929 is 8461332.
Thus, GCF of Fractions is 2/8461332.Finally, GCF of Fractions for 32/92, 14/99, 800/929 is 2/8461332.