Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 917/772,777/285,431/344
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 917,777,431
Greatest Common Factor of Numerators i.e. GCF of 917,777,431 is 1 .
LCM of Denominators means LCM of 772,285,344 as per the given fractions.
LCM of 772,285,344 is 18921720 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 917,777,431
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 917
List of positive integer factors of 917 that divides 917 without a remainder.
1,7,131,917
Factors of 777
List of positive integer factors of 777 that divides 777 without a remainder.
1,3,7,21,37,111,259,777
Factors of 431
List of positive integer factors of 431 that divides 431 without a remainder.
1,431
Greatest Common Factor
We found the factors 917,777,431 . The biggest common factor number is the GCF number.
So the greatest common factor 917,777,431 is 1.
Lets's calculate LCM of 772,285,344
2 | 772, 285, 344 |
2 | 386, 285, 172 |
193, 285, 86 |
∴ So the LCM of the given numbers is 2 x 2 x 193 x 285 x 86 = 18921720
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/18921720
Therefore, the GCF of Fractions 917/772,777/285,431/344 is 1/18921720
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 772,285,344 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(772,285,344) = 1
common factors(in case of two or more numbers have common factors) = 4
GCF(772,285,344) x common factors =1 x 4 = 4
LCM(772,285,344) = ( 772 × 285 × 344 ) / 4
LCM(772,285,344) = 75686880 / 4
LCM(772,285,344) = 18921720
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 917/772, 777/285, 431/344?
Answer: GCF of Numerators as per given numbers 917/772, 777/285, 431/344 is
GCF of Numerators i.e. for 917,777,431 is 1
LCM of denominators i.e. for 772,285,344 is 18921720.
Thus, GCF of Fractions is 1/18921720.Finally, GCF of Fractions for 917/772, 777/285, 431/344 is 1/18921720.