Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 960/33,663/69,788/753
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 960,663,788
Greatest Common Factor of Numerators i.e. GCF of 960,663,788 is 1 .
LCM of Denominators means LCM of 33,69,753 as per the given fractions.
LCM of 33,69,753 is 190509 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 960,663,788
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 960
List of positive integer factors of 960 that divides 960 without a remainder.
1,2,3,4,5,6,8,10,12,15,16,20,24,30,32,40,48,60,64,80,96,120,160,192,240,320,480,960
Factors of 663
List of positive integer factors of 663 that divides 663 without a remainder.
1,3,13,17,39,51,221,663
Factors of 788
List of positive integer factors of 788 that divides 788 without a remainder.
1,2,4,197,394,788
Greatest Common Factor
We found the factors 960,663,788 . The biggest common factor number is the GCF number.
So the greatest common factor 960,663,788 is 1.
Lets's calculate LCM of 33,69,753
3 | 33, 69, 753 |
11, 23, 251 |
∴ So the LCM of the given numbers is 3 x 11 x 23 x 251 = 190509
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/190509
Therefore, the GCF of Fractions 960/33,663/69,788/753 is 1/190509
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 33,69,753 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(33,69,753) = 3
common factors(in case of two or more numbers have common factors) = 3
GCF(33,69,753) x common factors =3 x 3 = 9
LCM(33,69,753) = ( 33 × 69 × 753 ) / 9
LCM(33,69,753) = 1714581 / 9
LCM(33,69,753) = 190509
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 960/33, 663/69, 788/753?
Answer: GCF of Numerators as per given numbers 960/33, 663/69, 788/753 is
GCF of Numerators i.e. for 960,663,788 is 1
LCM of denominators i.e. for 33,69,753 is 190509.
Thus, GCF of Fractions is 1/190509.Finally, GCF of Fractions for 960/33, 663/69, 788/753 is 1/190509.