Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 816/93,224/71,574/881
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 816,224,574
Greatest Common Factor of Numerators i.e. GCF of 816,224,574 is 2 .
LCM of Denominators means LCM of 93,71,881 as per the given fractions.
LCM of 93,71,881 is 5817243 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 816,224,574
2 | 816, 224, 574 |
408, 112, 287 |
∴ So the GCF of the given numbers is 2 = 2
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 224
List of positive integer factors of 224 that divides 224 without a remainder.
1,2,4,7,8,14,16,28,32,56,112,224
Factors of 574
List of positive integer factors of 574 that divides 574 without a remainder.
1,2,7,14,41,82,287,574
Greatest Common Factor
We found the factors 816,224,574 . The biggest common factor number is the GCF number.
So the greatest common factor 816,224,574 is 2.
Lets's calculate LCM of 93,71,881
Given numbers has no common factors except 1. So, there LCM is their product i.e 5817243
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/5817243
Therefore, the GCF of Fractions 816/93,224/71,574/881 is 2/5817243
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 93,71,881 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(93,71,881) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(93,71,881) x common factors =1 x 1 = 1
LCM(93,71,881) = ( 93 × 71 × 881 ) / 1
LCM(93,71,881) = 5817243 / 1
LCM(93,71,881) = 5817243
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 816/93, 224/71, 574/881?
Answer: GCF of Numerators as per given numbers 816/93, 224/71, 574/881 is
GCF of Numerators i.e. for 816,224,574 is 2
LCM of denominators i.e. for 93,71,881 is 5817243.
Thus, GCF of Fractions is 2/5817243.Finally, GCF of Fractions for 816/93, 224/71, 574/881 is 2/5817243.