Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 815/656,380/592,776/976
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 815,380,776
Greatest Common Factor of Numerators i.e. GCF of 815,380,776 is 1 .
LCM of Denominators means LCM of 656,592,976 as per the given fractions.
LCM of 656,592,976 is 1480592 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 815,380,776
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 815
List of positive integer factors of 815 that divides 815 without a remainder.
1,5,163,815
Factors of 380
List of positive integer factors of 380 that divides 380 without a remainder.
1,2,4,5,10,19,20,38,76,95,190,380
Factors of 776
List of positive integer factors of 776 that divides 776 without a remainder.
1,2,4,8,97,194,388,776
Greatest Common Factor
We found the factors 815,380,776 . The biggest common factor number is the GCF number.
So the greatest common factor 815,380,776 is 1.
Lets's calculate LCM of 656,592,976
2 | 656, 592, 976 |
2 | 328, 296, 488 |
2 | 164, 148, 244 |
2 | 82, 74, 122 |
41, 37, 61 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 41 x 37 x 61 = 1480592
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1480592
Therefore, the GCF of Fractions 815/656,380/592,776/976 is 1/1480592
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 656,592,976 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(656,592,976) = 16
common factors(in case of two or more numbers have common factors) = 16
GCF(656,592,976) x common factors =16 x 16 = 256
LCM(656,592,976) = ( 656 × 592 × 976 ) / 256
LCM(656,592,976) = 379031552 / 256
LCM(656,592,976) = 1480592
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 815/656, 380/592, 776/976?
Answer: GCF of Numerators as per given numbers 815/656, 380/592, 776/976 is
GCF of Numerators i.e. for 815,380,776 is 1
LCM of denominators i.e. for 656,592,976 is 1480592.
Thus, GCF of Fractions is 1/1480592.Finally, GCF of Fractions for 815/656, 380/592, 776/976 is 1/1480592.