Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 816/108,7600/905
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 816,7600
Greatest Common Factor of Numerators i.e. GCF of 816,7600 is 16 .
LCM of Denominators means LCM of 108,905 as per the given fractions.
LCM of 108,905 is 97740 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 816,7600
2 | 816, 7600 |
2 | 408, 3800 |
2 | 204, 1900 |
2 | 102, 950 |
51, 475 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16
Factors of 816
List of positive integer factors of 816 that divides 816 without a remainder.
1,2,3,4,6,8,12,16,17,24,34,48,51,68,102,136,204,272,408,816
Factors of 7600
List of positive integer factors of 7600 that divides 7600 without a remainder.
1,2,4,5,8,10,16,19,20,25,38,40,50,76,80,95,100,152,190,200,304,380,400,475,760,950,1520,1900,3800,7600
Greatest Common Factor
We found the factors 816,7600 . The biggest common factor number is the GCF number.
So the greatest common factor 816,7600 is 16.
Lets's calculate LCM of 108,905
Given numbers has no common factors except 1. So, there LCM is their product i.e 97740
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 16/97740
Therefore, the GCF of Fractions 816/108,7600/905 is 16/97740
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 108,905 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(108,905) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(108,905) x common factors =1 x 1 = 1
LCM(108,905) = ( 108 × 905 ) / 1
LCM(108,905) = 97740 / 1
LCM(108,905) = 97740
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 816/108, 7600/905?
Answer: GCF of Numerators as per given numbers 816/108, 7600/905 is
GCF of Numerators i.e. for 816,7600 is 16
LCM of denominators i.e. for 108,905 is 97740.
Thus, GCF of Fractions is 16/97740.Finally, GCF of Fractions for 816/108, 7600/905 is 16/97740.