Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 898/435,816/548,469/484
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 898,816,469
Greatest Common Factor of Numerators i.e. GCF of 898,816,469 is 1 .
LCM of Denominators means LCM of 435,548,484 as per the given fractions.
LCM of 435,548,484 is 28843980 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 898,816,469
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 898
List of positive integer factors of 898 that divides 898 without a remainder.
1,2,449,898
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 469
List of positive integer factors of 469 that divides 469 without a remainder.
1,7,67,469
Greatest Common Factor
We found the factors 898,816,469 . The biggest common factor number is the GCF number.
So the greatest common factor 898,816,469 is 1.
Lets's calculate LCM of 435,548,484
2 | 435, 548, 484 |
2 | 435, 274, 242 |
435, 137, 121 |
∴ So the LCM of the given numbers is 2 x 2 x 435 x 137 x 121 = 28843980
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/28843980
Therefore, the GCF of Fractions 898/435,816/548,469/484 is 1/28843980
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 435,548,484 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(435,548,484) = 1
common factors(in case of two or more numbers have common factors) = 4
GCF(435,548,484) x common factors =1 x 4 = 4
LCM(435,548,484) = ( 435 × 548 × 484 ) / 4
LCM(435,548,484) = 115375920 / 4
LCM(435,548,484) = 28843980
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 898/435, 816/548, 469/484?
Answer: GCF of Numerators as per given numbers 898/435, 816/548, 469/484 is
GCF of Numerators i.e. for 898,816,469 is 1
LCM of denominators i.e. for 435,548,484 is 28843980.
Thus, GCF of Fractions is 1/28843980.Finally, GCF of Fractions for 898/435, 816/548, 469/484 is 1/28843980.