Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 682/43,228/2849
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 682,228
Greatest Common Factor of Numerators i.e. GCF of 682,228 is 2 .
LCM of Denominators means LCM of 43,2849 as per the given fractions.
LCM of 43,2849 is 122507 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 682,228
2 | 682, 228 |
341, 114 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 682
List of positive integer factors of 682 that divides 682 without a remainder.
1,2,11,22,31,62,341,682
Factors of 228
List of positive integer factors of 228 that divides 228 without a remainder.
1,2,3,4,6,12,19,38,57,76,114,228
Greatest Common Factor
We found the factors 682,228 . The biggest common factor number is the GCF number.
So the greatest common factor 682,228 is 2.
Lets's calculate LCM of 43,2849
Given numbers has no common factors except 1. So, there LCM is their product i.e 122507
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/122507
Therefore, the GCF of Fractions 682/43,228/2849 is 2/122507
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 43,2849 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(43,2849) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(43,2849) x common factors =1 x 1 = 1
LCM(43,2849) = ( 43 × 2849 ) / 1
LCM(43,2849) = 122507 / 1
LCM(43,2849) = 122507
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 682/43, 228/2849?
Answer: GCF of Numerators as per given numbers 682/43, 228/2849 is
GCF of Numerators i.e. for 682,228 is 2
LCM of denominators i.e. for 43,2849 is 122507.
Thus, GCF of Fractions is 2/122507.Finally, GCF of Fractions for 682/43, 228/2849 is 2/122507.