Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 804/99,577/24,217/26
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 804,577,217
Greatest Common Factor of Numerators i.e. GCF of 804,577,217 is 1 .
LCM of Denominators means LCM of 99,24,26 as per the given fractions.
LCM of 99,24,26 is 10296 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 804,577,217
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 804
List of positive integer factors of 804 that divides 804 without a remainder.
1,2,3,4,6,12,67,134,201,268,402,804
Factors of 577
List of positive integer factors of 577 that divides 577 without a remainder.
1,577
Factors of 217
List of positive integer factors of 217 that divides 217 without a remainder.
1,7,31,217
Greatest Common Factor
We found the factors 804,577,217 . The biggest common factor number is the GCF number.
So the greatest common factor 804,577,217 is 1.
Lets's calculate LCM of 99,24,26
2 | 99, 24, 26 |
3 | 99, 12, 13 |
33, 4, 13 |
∴ So the LCM of the given numbers is 2 x 3 x 33 x 4 x 13 = 10296
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/10296
Therefore, the GCF of Fractions 804/99,577/24,217/26 is 1/10296
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 99,24,26 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(99,24,26) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(99,24,26) x common factors =1 x 6 = 6
LCM(99,24,26) = ( 99 × 24 × 26 ) / 6
LCM(99,24,26) = 61776 / 6
LCM(99,24,26) = 10296
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 804/99, 577/24, 217/26?
Answer: GCF of Numerators as per given numbers 804/99, 577/24, 217/26 is
GCF of Numerators i.e. for 804,577,217 is 1
LCM of denominators i.e. for 99,24,26 is 10296.
Thus, GCF of Fractions is 1/10296.Finally, GCF of Fractions for 804/99, 577/24, 217/26 is 1/10296.