Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 159/329,795/558,175/843
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 159,795,175
Greatest Common Factor of Numerators i.e. GCF of 159,795,175 is 1 .
LCM of Denominators means LCM of 329,558,843 as per the given fractions.
LCM of 329,558,843 is 51586542 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 159,795,175
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 159
List of positive integer factors of 159 that divides 159 without a remainder.
1,3,53,159
Factors of 795
List of positive integer factors of 795 that divides 795 without a remainder.
1,3,5,15,53,159,265,795
Factors of 175
List of positive integer factors of 175 that divides 175 without a remainder.
1,5,7,25,35,175
Greatest Common Factor
We found the factors 159,795,175 . The biggest common factor number is the GCF number.
So the greatest common factor 159,795,175 is 1.
Lets's calculate LCM of 329,558,843
3 | 329, 558, 843 |
329, 186, 281 |
∴ So the LCM of the given numbers is 3 x 329 x 186 x 281 = 51586542
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/51586542
Therefore, the GCF of Fractions 159/329,795/558,175/843 is 1/51586542
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 329,558,843 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(329,558,843) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(329,558,843) x common factors =1 x 3 = 3
LCM(329,558,843) = ( 329 × 558 × 843 ) / 3
LCM(329,558,843) = 154759626 / 3
LCM(329,558,843) = 51586542
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 159/329, 795/558, 175/843?
Answer: GCF of Numerators as per given numbers 159/329, 795/558, 175/843 is
GCF of Numerators i.e. for 159,795,175 is 1
LCM of denominators i.e. for 329,558,843 is 51586542.
Thus, GCF of Fractions is 1/51586542.Finally, GCF of Fractions for 159/329, 795/558, 175/843 is 1/51586542.