Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2/55,198/85,894/82
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 2,198,894
Greatest Common Factor of Numerators i.e. GCF of 2,198,894 is 2 .
LCM of Denominators means LCM of 55,85,82 as per the given fractions.
LCM of 55,85,82 is 76670 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2,198,894
2 | 2, 198, 894 |
1, 99, 447 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 2
List of positive integer factors of 2 that divides 2 without a remainder.
1,2
Factors of 198
List of positive integer factors of 198 that divides 198 without a remainder.
1,2,3,6,9,11,18,22,33,66,99,198
Factors of 894
List of positive integer factors of 894 that divides 894 without a remainder.
1,2,3,6,149,298,447,894
Greatest Common Factor
We found the factors 2,198,894 . The biggest common factor number is the GCF number.
So the greatest common factor 2,198,894 is 2.
Lets's calculate LCM of 55,85,82
5 | 55, 85, 82 |
11, 17, 82 |
∴ So the LCM of the given numbers is 5 x 11 x 17 x 82 = 76670
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/76670
Therefore, the GCF of Fractions 2/55,198/85,894/82 is 2/76670
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 55,85,82 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(55,85,82) = 1
common factors(in case of two or more numbers have common factors) = 5
GCF(55,85,82) x common factors =1 x 5 = 5
LCM(55,85,82) = ( 55 × 85 × 82 ) / 5
LCM(55,85,82) = 383350 / 5
LCM(55,85,82) = 76670
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 2/55, 198/85, 894/82?
Answer: GCF of Numerators as per given numbers 2/55, 198/85, 894/82 is
GCF of Numerators i.e. for 2,198,894 is 2
LCM of denominators i.e. for 55,85,82 is 76670.
Thus, GCF of Fractions is 2/76670.Finally, GCF of Fractions for 2/55, 198/85, 894/82 is 2/76670.