Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 915/17,835/70,543/301
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 915,835,543
Greatest Common Factor of Numerators i.e. GCF of 915,835,543 is 1 .
LCM of Denominators means LCM of 17,70,301 as per the given fractions.
LCM of 17,70,301 is 51170 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 915,835,543
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 915
List of positive integer factors of 915 that divides 915 without a remainder.
1,3,5,15,61,183,305,915
Factors of 835
List of positive integer factors of 835 that divides 835 without a remainder.
1,5,167,835
Factors of 543
List of positive integer factors of 543 that divides 543 without a remainder.
1,3,181,543
Greatest Common Factor
We found the factors 915,835,543 . The biggest common factor number is the GCF number.
So the greatest common factor 915,835,543 is 1.
Lets's calculate LCM of 17,70,301
7 | 17, 70, 301 |
17, 10, 43 |
∴ So the LCM of the given numbers is 7 x 17 x 10 x 43 = 51170
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/51170
Therefore, the GCF of Fractions 915/17,835/70,543/301 is 1/51170
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 17,70,301 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(17,70,301) = 1
common factors(in case of two or more numbers have common factors) = 7
GCF(17,70,301) x common factors =1 x 7 = 7
LCM(17,70,301) = ( 17 × 70 × 301 ) / 7
LCM(17,70,301) = 358190 / 7
LCM(17,70,301) = 51170
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 915/17, 835/70, 543/301?
Answer: GCF of Numerators as per given numbers 915/17, 835/70, 543/301 is
GCF of Numerators i.e. for 915,835,543 is 1
LCM of denominators i.e. for 17,70,301 is 51170.
Thus, GCF of Fractions is 1/51170.Finally, GCF of Fractions for 915/17, 835/70, 543/301 is 1/51170.