Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 13/193,170/843,636/660
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 13,170,636
Greatest Common Factor of Numerators i.e. GCF of 13,170,636 is 1 .
LCM of Denominators means LCM of 193,843,660 as per the given fractions.
LCM of 193,843,660 is 35793780 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 13,170,636
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 13
List of positive integer factors of 13 that divides 13 without a remainder.
1,13
Factors of 170
List of positive integer factors of 170 that divides 170 without a remainder.
1,2,5,10,17,34,85,170
Factors of 636
List of positive integer factors of 636 that divides 636 without a remainder.
1,2,3,4,6,12,53,106,159,212,318,636
Greatest Common Factor
We found the factors 13,170,636 . The biggest common factor number is the GCF number.
So the greatest common factor 13,170,636 is 1.
Lets's calculate LCM of 193,843,660
3 | 193, 843, 660 |
193, 281, 220 |
∴ So the LCM of the given numbers is 3 x 193 x 281 x 220 = 35793780
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/35793780
Therefore, the GCF of Fractions 13/193,170/843,636/660 is 1/35793780
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 193,843,660 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(193,843,660) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(193,843,660) x common factors =1 x 3 = 3
LCM(193,843,660) = ( 193 × 843 × 660 ) / 3
LCM(193,843,660) = 107381340 / 3
LCM(193,843,660) = 35793780
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 13/193, 170/843, 636/660?
Answer: GCF of Numerators as per given numbers 13/193, 170/843, 636/660 is
GCF of Numerators i.e. for 13,170,636 is 1
LCM of denominators i.e. for 193,843,660 is 35793780.
Thus, GCF of Fractions is 1/35793780.Finally, GCF of Fractions for 13/193, 170/843, 636/660 is 1/35793780.