Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 348/207,3340/6347
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 348,3340
Greatest Common Factor of Numerators i.e. GCF of 348,3340 is 4 .
LCM of Denominators means LCM of 207,6347 as per the given fractions.
LCM of 207,6347 is 1313829 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 348,3340
2 | 348, 3340 |
2 | 174, 1670 |
87, 835 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Factors of 348
List of positive integer factors of 348 that divides 348 without a remainder.
1,2,3,4,6,12,29,58,87,116,174,348
Factors of 3340
List of positive integer factors of 3340 that divides 3340 without a remainder.
1,2,4,5,10,20,167,334,668,835,1670,3340
Greatest Common Factor
We found the factors 348,3340 . The biggest common factor number is the GCF number.
So the greatest common factor 348,3340 is 4.
Lets's calculate LCM of 207,6347
Given numbers has no common factors except 1. So, there LCM is their product i.e 1313829
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/1313829
Therefore, the GCF of Fractions 348/207,3340/6347 is 4/1313829
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 207,6347 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(207,6347) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(207,6347) x common factors =1 x 1 = 1
LCM(207,6347) = ( 207 × 6347 ) / 1
LCM(207,6347) = 1313829 / 1
LCM(207,6347) = 1313829
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 348/207, 3340/6347?
Answer: GCF of Numerators as per given numbers 348/207, 3340/6347 is
GCF of Numerators i.e. for 348,3340 is 4
LCM of denominators i.e. for 207,6347 is 1313829.
Thus, GCF of Fractions is 4/1313829.Finally, GCF of Fractions for 348/207, 3340/6347 is 4/1313829.