Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 17/14,338/43,562/343
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 17,338,562
Greatest Common Factor of Numerators i.e. GCF of 17,338,562 is 1 .
LCM of Denominators means LCM of 14,43,343 as per the given fractions.
LCM of 14,43,343 is 29498 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 17,338,562
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 17
List of positive integer factors of 17 that divides 17 without a remainder.
1,17
Factors of 338
List of positive integer factors of 338 that divides 338 without a remainder.
1,2,13,26,169,338
Factors of 562
List of positive integer factors of 562 that divides 562 without a remainder.
1,2,281,562
Greatest Common Factor
We found the factors 17,338,562 . The biggest common factor number is the GCF number.
So the greatest common factor 17,338,562 is 1.
Lets's calculate LCM of 14,43,343
7 | 14, 43, 343 |
2, 43, 49 |
∴ So the LCM of the given numbers is 7 x 2 x 43 x 49 = 29498
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/29498
Therefore, the GCF of Fractions 17/14,338/43,562/343 is 1/29498
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 14,43,343 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(14,43,343) = 1
common factors(in case of two or more numbers have common factors) = 7
GCF(14,43,343) x common factors =1 x 7 = 7
LCM(14,43,343) = ( 14 × 43 × 343 ) / 7
LCM(14,43,343) = 206486 / 7
LCM(14,43,343) = 29498
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 17/14, 338/43, 562/343?
Answer: GCF of Numerators as per given numbers 17/14, 338/43, 562/343 is
GCF of Numerators i.e. for 17,338,562 is 1
LCM of denominators i.e. for 14,43,343 is 29498.
Thus, GCF of Fractions is 1/29498.Finally, GCF of Fractions for 17/14, 338/43, 562/343 is 1/29498.