Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 813/884,3659/3400
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 813,3659
Greatest Common Factor of Numerators i.e. GCF of 813,3659 is 1 .
LCM of Denominators means LCM of 884,3400 as per the given fractions.
LCM of 884,3400 is 44200 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 813,3659
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 813
List of positive integer factors of 813 that divides 813 without a remainder.
1,3,271,813
Factors of 3659
List of positive integer factors of 3659 that divides 3659 without a remainder.
1,3659
Greatest Common Factor
We found the factors 813,3659 . The biggest common factor number is the GCF number.
So the greatest common factor 813,3659 is 1.
Lets's calculate LCM of 884,3400
2 | 884, 3400 |
2 | 442, 1700 |
17 | 221, 850 |
13, 50 |
∴ So the LCM of the given numbers is 2 x 2 x 17 x 13 x 50 = 44200
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/44200
Therefore, the GCF of Fractions 813/884,3659/3400 is 1/44200
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 884,3400 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(884,3400) = 68
common factors(in case of two or more numbers have common factors) = 1
GCF(884,3400) x common factors =68 x 1 = 68
LCM(884,3400) = ( 884 × 3400 ) / 68
LCM(884,3400) = 3005600 / 68
LCM(884,3400) = 44200
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 813/884, 3659/3400?
Answer: GCF of Numerators as per given numbers 813/884, 3659/3400 is
GCF of Numerators i.e. for 813,3659 is 1
LCM of denominators i.e. for 884,3400 is 44200.
Thus, GCF of Fractions is 1/44200.Finally, GCF of Fractions for 813/884, 3659/3400 is 1/44200.