Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 348/35,482/45,919/669
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 348,482,919
Greatest Common Factor of Numerators i.e. GCF of 348,482,919 is 1 .
LCM of Denominators means LCM of 35,45,669 as per the given fractions.
LCM of 35,45,669 is 70245 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 348,482,919
∴ So GCF of numbers is 1 because of no common factors present between them.
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 482
List of positive integer factors of 482 that divides 482 without a remainder.
1,2,241,482
Factors of 919
List of positive integer factors of 919 that divides 919 without a remainder.
1,919
Greatest Common Factor
We found the factors 348,482,919 . The biggest common factor number is the GCF number.
So the greatest common factor 348,482,919 is 1.
Lets's calculate LCM of 35,45,669
3 | 35, 45, 669 |
5 | 35, 15, 223 |
7, 3, 223 |
∴ So the LCM of the given numbers is 3 x 5 x 7 x 3 x 223 = 70245
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/70245
Therefore, the GCF of Fractions 348/35,482/45,919/669 is 1/70245
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 35,45,669 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(35,45,669) = 1
common factors(in case of two or more numbers have common factors) = 15
GCF(35,45,669) x common factors =1 x 15 = 15
LCM(35,45,669) = ( 35 × 45 × 669 ) / 15
LCM(35,45,669) = 1053675 / 15
LCM(35,45,669) = 70245
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 348/35, 482/45, 919/669?
Answer: GCF of Numerators as per given numbers 348/35, 482/45, 919/669 is
GCF of Numerators i.e. for 348,482,919 is 1
LCM of denominators i.e. for 35,45,669 is 70245.
Thus, GCF of Fractions is 1/70245.Finally, GCF of Fractions for 348/35, 482/45, 919/669 is 1/70245.