Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 934/942,475/939,269/855
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 934,475,269
Greatest Common Factor of Numerators i.e. GCF of 934,475,269 is 1 .
LCM of Denominators means LCM of 942,939,855 as per the given fractions.
LCM of 942,939,855 is 84031110 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 934,475,269
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 934
List of positive integer factors of 934 that divides 934 without a remainder.
1,2,467,934
Factors of 475
List of positive integer factors of 475 that divides 475 without a remainder.
1,5,19,25,95,475
Factors of 269
List of positive integer factors of 269 that divides 269 without a remainder.
1,269
Greatest Common Factor
We found the factors 934,475,269 . The biggest common factor number is the GCF number.
So the greatest common factor 934,475,269 is 1.
Lets's calculate LCM of 942,939,855
3 | 942, 939, 855 |
314, 313, 285 |
∴ So the LCM of the given numbers is 3 x 314 x 313 x 285 = 84031110
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/84031110
Therefore, the GCF of Fractions 934/942,475/939,269/855 is 1/84031110
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 942,939,855 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(942,939,855) = 3
common factors(in case of two or more numbers have common factors) = 3
GCF(942,939,855) x common factors =3 x 3 = 9
LCM(942,939,855) = ( 942 × 939 × 855 ) / 9
LCM(942,939,855) = 756279990 / 9
LCM(942,939,855) = 84031110
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 934/942, 475/939, 269/855?
Answer: GCF of Numerators as per given numbers 934/942, 475/939, 269/855 is
GCF of Numerators i.e. for 934,475,269 is 1
LCM of denominators i.e. for 942,939,855 is 84031110.
Thus, GCF of Fractions is 1/84031110.Finally, GCF of Fractions for 934/942, 475/939, 269/855 is 1/84031110.