Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 770/483,795/629,814/901
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 770,795,814
Greatest Common Factor of Numerators i.e. GCF of 770,795,814 is 1 .
LCM of Denominators means LCM of 483,629,901 as per the given fractions.
LCM of 483,629,901 is 16101771 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 770,795,814
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 770
List of positive integer factors of 770 that divides 770 without a remainder.
1,2,5,7,10,11,14,22,35,55,70,77,110,154,385,770
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 814
List of positive integer factors of 814 that divides 814 without a remainder.
1,2,11,22,37,74,407,814
Greatest Common Factor
We found the factors 770,795,814 . The biggest common factor number is the GCF number.
So the greatest common factor 770,795,814 is 1.
Lets's calculate LCM of 483,629,901
17 | 483, 629, 901 |
483, 37, 53 |
∴ So the LCM of the given numbers is 17 x 483 x 37 x 53 = 16101771
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/16101771
Therefore, the GCF of Fractions 770/483,795/629,814/901 is 1/16101771
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 483,629,901 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(483,629,901) = 1
common factors(in case of two or more numbers have common factors) = 17
GCF(483,629,901) x common factors =1 x 17 = 17
LCM(483,629,901) = ( 483 × 629 × 901 ) / 17
LCM(483,629,901) = 273730107 / 17
LCM(483,629,901) = 16101771
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 770/483, 795/629, 814/901?
Answer: GCF of Numerators as per given numbers 770/483, 795/629, 814/901 is
GCF of Numerators i.e. for 770,795,814 is 1
LCM of denominators i.e. for 483,629,901 is 16101771.
Thus, GCF of Fractions is 1/16101771.Finally, GCF of Fractions for 770/483, 795/629, 814/901 is 1/16101771.