Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 800/151,304/922
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 800,304
Greatest Common Factor of Numerators i.e. GCF of 800,304 is 16 .
LCM of Denominators means LCM of 151,922 as per the given fractions.
LCM of 151,922 is 139222 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 800,304
2 | 800, 304 |
2 | 400, 152 |
2 | 200, 76 |
2 | 100, 38 |
50, 19 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16
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
Factors of 304
List of positive integer factors of 304 that divides 304 without a remainder.
1,2,4,8,16,19,38,76,152,304
Greatest Common Factor
We found the factors 800,304 . The biggest common factor number is the GCF number.
So the greatest common factor 800,304 is 16.
Lets's calculate LCM of 151,922
Given numbers has no common factors except 1. So, there LCM is their product i.e 139222
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 16/139222
Therefore, the GCF of Fractions 800/151,304/922 is 16/139222
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 151,922 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(151,922) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(151,922) x common factors =1 x 1 = 1
LCM(151,922) = ( 151 × 922 ) / 1
LCM(151,922) = 139222 / 1
LCM(151,922) = 139222
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 800/151, 304/922?
Answer: GCF of Numerators as per given numbers 800/151, 304/922 is
GCF of Numerators i.e. for 800,304 is 16
LCM of denominators i.e. for 151,922 is 139222.
Thus, GCF of Fractions is 16/139222.Finally, GCF of Fractions for 800/151, 304/922 is 16/139222.