Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 731/959,816/349,127/668
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 731,816,127
Greatest Common Factor of Numerators i.e. GCF of 731,816,127 is 1 .
LCM of Denominators means LCM of 959,349,668 as per the given fractions.
LCM of 959,349,668 is 223573588 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 731,816,127
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 731
List of positive integer factors of 731 that divides 731 without a remainder.
1,17,43,731
Factors of 816
List of positive integer factors of 816 that divides 816 without a remainder.
1,2,3,4,6,8,12,16,17,24,34,48,51,68,102,136,204,272,408,816
Factors of 127
List of positive integer factors of 127 that divides 127 without a remainder.
1,127
Greatest Common Factor
We found the factors 731,816,127 . The biggest common factor number is the GCF number.
So the greatest common factor 731,816,127 is 1.
Lets's calculate LCM of 959,349,668
Given numbers has no common factors except 1. So, there LCM is their product i.e 223573588
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/223573588
Therefore, the GCF of Fractions 731/959,816/349,127/668 is 1/223573588
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 959,349,668 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(959,349,668) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(959,349,668) x common factors =1 x 1 = 1
LCM(959,349,668) = ( 959 × 349 × 668 ) / 1
LCM(959,349,668) = 223573588 / 1
LCM(959,349,668) = 223573588
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 731/959, 816/349, 127/668?
Answer: GCF of Numerators as per given numbers 731/959, 816/349, 127/668 is
GCF of Numerators i.e. for 731,816,127 is 1
LCM of denominators i.e. for 959,349,668 is 223573588.
Thus, GCF of Fractions is 1/223573588.Finally, GCF of Fractions for 731/959, 816/349, 127/668 is 1/223573588.