Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 35/259,79/166,881/771
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 35,79,881
Greatest Common Factor of Numerators i.e. GCF of 35,79,881 is 1 .
LCM of Denominators means LCM of 259,166,771 as per the given fractions.
LCM of 259,166,771 is 33148374 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 35,79,881
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 35
List of positive integer factors of 35 that divides 35 without a remainder.
1,5,7,35
Factors of 79
List of positive integer factors of 79 that divides 79 without a remainder.
1,79
Factors of 881
List of positive integer factors of 881 that divides 881 without a remainder.
1,881
Greatest Common Factor
We found the factors 35,79,881 . The biggest common factor number is the GCF number.
So the greatest common factor 35,79,881 is 1.
Lets's calculate LCM of 259,166,771
Given numbers has no common factors except 1. So, there LCM is their product i.e 33148374
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/33148374
Therefore, the GCF of Fractions 35/259,79/166,881/771 is 1/33148374
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 259,166,771 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(259,166,771) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(259,166,771) x common factors =1 x 1 = 1
LCM(259,166,771) = ( 259 × 166 × 771 ) / 1
LCM(259,166,771) = 33148374 / 1
LCM(259,166,771) = 33148374
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 35/259, 79/166, 881/771?
Answer: GCF of Numerators as per given numbers 35/259, 79/166, 881/771 is
GCF of Numerators i.e. for 35,79,881 is 1
LCM of denominators i.e. for 259,166,771 is 33148374.
Thus, GCF of Fractions is 1/33148374.Finally, GCF of Fractions for 35/259, 79/166, 881/771 is 1/33148374.