Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 351/34,797/68,416/185
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 351,797,416
Greatest Common Factor of Numerators i.e. GCF of 351,797,416 is 1 .
LCM of Denominators means LCM of 34,68,185 as per the given fractions.
LCM of 34,68,185 is 12580 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 351,797,416
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 351
List of positive integer factors of 351 that divides 351 without a remainder.
1,3,9,13,27,39,117,351
Factors of 797
List of positive integer factors of 797 that divides 797 without a remainder.
1,797
Factors of 416
List of positive integer factors of 416 that divides 416 without a remainder.
1,2,4,8,13,16,26,32,52,104,208,416
Greatest Common Factor
We found the factors 351,797,416 . The biggest common factor number is the GCF number.
So the greatest common factor 351,797,416 is 1.
Lets's calculate LCM of 34,68,185
2 | 34, 68, 185 |
17 | 17, 34, 185 |
1, 2, 185 |
∴ So the LCM of the given numbers is 2 x 17 x 1 x 2 x 185 = 12580
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/12580
Therefore, the GCF of Fractions 351/34,797/68,416/185 is 1/12580
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 34,68,185 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(34,68,185) = 1
common factors(in case of two or more numbers have common factors) = 34
GCF(34,68,185) x common factors =1 x 34 = 34
LCM(34,68,185) = ( 34 × 68 × 185 ) / 34
LCM(34,68,185) = 427720 / 34
LCM(34,68,185) = 12580
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 351/34, 797/68, 416/185?
Answer: GCF of Numerators as per given numbers 351/34, 797/68, 416/185 is
GCF of Numerators i.e. for 351,797,416 is 1
LCM of denominators i.e. for 34,68,185 is 12580.
Thus, GCF of Fractions is 1/12580.Finally, GCF of Fractions for 351/34, 797/68, 416/185 is 1/12580.