Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6/99,6/11,50/82,98/858
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 6,6,50,98
Greatest Common Factor of Numerators i.e. GCF of 6,6,50,98 is 2 .
LCM of Denominators means LCM of 99,11,82,858 as per the given fractions.
LCM of 99,11,82,858 is 105534 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6,6,50,98
2 | 6, 6, 50, 98 |
3, 3, 25, 49 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 6
List of positive integer factors of 6 that divides 6 without a remainder.
1,2,3,6
Factors of 6
List of positive integer factors of 6 that divides 6 without a remainder.
1,2,3,6
Factors of 50
List of positive integer factors of 50 that divides 50 without a remainder.
1,2,5,10,25,50
Factors of 98
List of positive integer factors of 98 that divides 98 without a remainder.
1,2,7,14,49,98
Greatest Common Factor
We found the factors 6,6,50,98 . The biggest common factor number is the GCF number.
So the greatest common factor 6,6,50,98 is 2.
Lets's calculate LCM of 99,11,82,858
2 | 99, 11, 82, 858 |
3 | 99, 11, 41, 429 |
11 | 33, 11, 41, 143 |
3, 1, 41, 13 |
∴ So the LCM of the given numbers is 2 x 3 x 11 x 3 x 1 x 41 x 13 = 105534
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/105534
Therefore, the GCF of Fractions 6/99,6/11,50/82,98/858 is 2/105534
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 99,11,82,858 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(99,11,82,858) = 1
common factors(in case of two or more numbers have common factors) = 726
GCF(99,11,82,858) x common factors =1 x 726 = 726
LCM(99,11,82,858) = ( 99 × 11 × 82 × 858 ) / 726
LCM(99,11,82,858) = 76617684 / 726
LCM(99,11,82,858) = 105534
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 6/99, 6/11, 50/82, 98/858?
Answer: GCF of Numerators as per given numbers 6/99, 6/11, 50/82, 98/858 is
GCF of Numerators i.e. for 6,6,50,98 is 2
LCM of denominators i.e. for 99,11,82,858 is 105534.
Thus, GCF of Fractions is 2/105534.Finally, GCF of Fractions for 6/99, 6/11, 50/82, 98/858 is 2/105534.