Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 515/60,770/97,257/960
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 515,770,257
Greatest Common Factor of Numerators i.e. GCF of 515,770,257 is 1 .
LCM of Denominators means LCM of 60,97,960 as per the given fractions.
LCM of 60,97,960 is 93120 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 515,770,257
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 515
List of positive integer factors of 515 that divides 515 without a remainder.
1,5,103,515
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 257
List of positive integer factors of 257 that divides 257 without a remainder.
1,257
Greatest Common Factor
We found the factors 515,770,257 . The biggest common factor number is the GCF number.
So the greatest common factor 515,770,257 is 1.
Lets's calculate LCM of 60,97,960
2 | 60, 97, 960 |
2 | 30, 97, 480 |
3 | 15, 97, 240 |
5 | 5, 97, 80 |
1, 97, 16 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 5 x 1 x 97 x 16 = 93120
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/93120
Therefore, the GCF of Fractions 515/60,770/97,257/960 is 1/93120
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 60,97,960 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(60,97,960) = 1
common factors(in case of two or more numbers have common factors) = 60
GCF(60,97,960) x common factors =1 x 60 = 60
LCM(60,97,960) = ( 60 × 97 × 960 ) / 60
LCM(60,97,960) = 5587200 / 60
LCM(60,97,960) = 93120
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 515/60, 770/97, 257/960?
Answer: GCF of Numerators as per given numbers 515/60, 770/97, 257/960 is
GCF of Numerators i.e. for 515,770,257 is 1
LCM of denominators i.e. for 60,97,960 is 93120.
Thus, GCF of Fractions is 1/93120.Finally, GCF of Fractions for 515/60, 770/97, 257/960 is 1/93120.