Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 26/59,308/16,183/673
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 26,308,183
Greatest Common Factor of Numerators i.e. GCF of 26,308,183 is 1 .
LCM of Denominators means LCM of 59,16,673 as per the given fractions.
LCM of 59,16,673 is 635312 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 26,308,183
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 26
List of positive integer factors of 26 that divides 26 without a remainder.
1,2,13,26
Factors of 308
List of positive integer factors of 308 that divides 308 without a remainder.
1,2,4,7,11,14,22,28,44,77,154,308
Factors of 183
List of positive integer factors of 183 that divides 183 without a remainder.
1,3,61,183
Greatest Common Factor
We found the factors 26,308,183 . The biggest common factor number is the GCF number.
So the greatest common factor 26,308,183 is 1.
Lets's calculate LCM of 59,16,673
Given numbers has no common factors except 1. So, there LCM is their product i.e 635312
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/635312
Therefore, the GCF of Fractions 26/59,308/16,183/673 is 1/635312
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 59,16,673 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(59,16,673) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(59,16,673) x common factors =1 x 1 = 1
LCM(59,16,673) = ( 59 × 16 × 673 ) / 1
LCM(59,16,673) = 635312 / 1
LCM(59,16,673) = 635312
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 26/59, 308/16, 183/673?
Answer: GCF of Numerators as per given numbers 26/59, 308/16, 183/673 is
GCF of Numerators i.e. for 26,308,183 is 1
LCM of denominators i.e. for 59,16,673 is 635312.
Thus, GCF of Fractions is 1/635312.Finally, GCF of Fractions for 26/59, 308/16, 183/673 is 1/635312.