Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 165/343,6702/897
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 165,6702
Greatest Common Factor of Numerators i.e. GCF of 165,6702 is 3 .
LCM of Denominators means LCM of 343,897 as per the given fractions.
LCM of 343,897 is 307671 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 165,6702
3 | 165, 6702 |
55, 2234 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 165
List of positive integer factors of 165 that divides 165 without a remainder.
1,3,5,11,15,33,55,165
Factors of 6702
List of positive integer factors of 6702 that divides 6702 without a remainder.
1,2,3,6,1117,2234,3351,6702
Greatest Common Factor
We found the factors 165,6702 . The biggest common factor number is the GCF number.
So the greatest common factor 165,6702 is 3.
Lets's calculate LCM of 343,897
Given numbers has no common factors except 1. So, there LCM is their product i.e 307671
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/307671
Therefore, the GCF of Fractions 165/343,6702/897 is 3/307671
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 343,897 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(343,897) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(343,897) x common factors =1 x 1 = 1
LCM(343,897) = ( 343 × 897 ) / 1
LCM(343,897) = 307671 / 1
LCM(343,897) = 307671
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 165/343, 6702/897?
Answer: GCF of Numerators as per given numbers 165/343, 6702/897 is
GCF of Numerators i.e. for 165,6702 is 3
LCM of denominators i.e. for 343,897 is 307671.
Thus, GCF of Fractions is 3/307671.Finally, GCF of Fractions for 165/343, 6702/897 is 3/307671.