Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 92/98,28/13,73/69,122/66
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 92,28,73,122
Greatest Common Factor of Numerators i.e. GCF of 92,28,73,122 is 1 .
LCM of Denominators means LCM of 98,13,69,66 as per the given fractions.
LCM of 98,13,69,66 is 966966 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 92,28,73,122
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 92
List of positive integer factors of 92 that divides 92 without a remainder.
1,2,4,23,46,92
Factors of 28
List of positive integer factors of 28 that divides 28 without a remainder.
1,2,4,7,14,28
Factors of 73
List of positive integer factors of 73 that divides 73 without a remainder.
1,73
Factors of 122
List of positive integer factors of 122 that divides 122 without a remainder.
1,2,61,122
Greatest Common Factor
We found the factors 92,28,73,122 . The biggest common factor number is the GCF number.
So the greatest common factor 92,28,73,122 is 1.
Lets's calculate LCM of 98,13,69,66
2 | 98, 13, 69, 66 |
3 | 49, 13, 69, 33 |
49, 13, 23, 11 |
∴ So the LCM of the given numbers is 2 x 3 x 49 x 13 x 23 x 11 = 966966
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/966966
Therefore, the GCF of Fractions 92/98,28/13,73/69,122/66 is 1/966966
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 98,13,69,66 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(98,13,69,66) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(98,13,69,66) x common factors =1 x 6 = 6
LCM(98,13,69,66) = ( 98 × 13 × 69 × 66 ) / 6
LCM(98,13,69,66) = 5801796 / 6
LCM(98,13,69,66) = 966966
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 92/98, 28/13, 73/69, 122/66?
Answer: GCF of Numerators as per given numbers 92/98, 28/13, 73/69, 122/66 is
GCF of Numerators i.e. for 92,28,73,122 is 1
LCM of denominators i.e. for 98,13,69,66 is 966966.
Thus, GCF of Fractions is 1/966966.Finally, GCF of Fractions for 92/98, 28/13, 73/69, 122/66 is 1/966966.