Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 93/942,75/397,444/889
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 93,75,444
Greatest Common Factor of Numerators i.e. GCF of 93,75,444 is 3 .
LCM of Denominators means LCM of 942,397,889 as per the given fractions.
LCM of 942,397,889 is 332462886 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 93,75,444
3 | 93, 75, 444 |
31, 25, 148 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 93
List of positive integer factors of 93 that divides 93 without a remainder.
1,3,31,93
Factors of 75
List of positive integer factors of 75 that divides 75 without a remainder.
1,3,5,15,25,75
Factors of 444
List of positive integer factors of 444 that divides 444 without a remainder.
1,2,3,4,6,12,37,74,111,148,222,444
Greatest Common Factor
We found the factors 93,75,444 . The biggest common factor number is the GCF number.
So the greatest common factor 93,75,444 is 3.
Lets's calculate LCM of 942,397,889
Given numbers has no common factors except 1. So, there LCM is their product i.e 332462886
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/332462886
Therefore, the GCF of Fractions 93/942,75/397,444/889 is 3/332462886
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 942,397,889 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(942,397,889) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(942,397,889) x common factors =1 x 1 = 1
LCM(942,397,889) = ( 942 × 397 × 889 ) / 1
LCM(942,397,889) = 332462886 / 1
LCM(942,397,889) = 332462886
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 93/942, 75/397, 444/889?
Answer: GCF of Numerators as per given numbers 93/942, 75/397, 444/889 is
GCF of Numerators i.e. for 93,75,444 is 3
LCM of denominators i.e. for 942,397,889 is 332462886.
Thus, GCF of Fractions is 3/332462886.Finally, GCF of Fractions for 93/942, 75/397, 444/889 is 3/332462886.