Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3430/835,3166/916
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 3430,3166
Greatest Common Factor of Numerators i.e. GCF of 3430,3166 is 2 .
LCM of Denominators means LCM of 835,916 as per the given fractions.
LCM of 835,916 is 764860 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3430,3166
2 | 3430, 3166 |
1715, 1583 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 3430
List of positive integer factors of 3430 that divides 3430 without a remainder.
1,2,5,7,10,14,35,49,70,98,245,343,490,686,1715,3430
Factors of 3166
List of positive integer factors of 3166 that divides 3166 without a remainder.
1,2,1583,3166
Greatest Common Factor
We found the factors 3430,3166 . The biggest common factor number is the GCF number.
So the greatest common factor 3430,3166 is 2.
Lets's calculate LCM of 835,916
Given numbers has no common factors except 1. So, there LCM is their product i.e 764860
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/764860
Therefore, the GCF of Fractions 3430/835,3166/916 is 2/764860
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 835,916 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(835,916) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(835,916) x common factors =1 x 1 = 1
LCM(835,916) = ( 835 × 916 ) / 1
LCM(835,916) = 764860 / 1
LCM(835,916) = 764860
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 3430/835, 3166/916?
Answer: GCF of Numerators as per given numbers 3430/835, 3166/916 is
GCF of Numerators i.e. for 3430,3166 is 2
LCM of denominators i.e. for 835,916 is 764860.
Thus, GCF of Fractions is 2/764860.Finally, GCF of Fractions for 3430/835, 3166/916 is 2/764860.