Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9301/68,2958/404
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 9301,2958
Greatest Common Factor of Numerators i.e. GCF of 9301,2958 is 1 .
LCM of Denominators means LCM of 68,404 as per the given fractions.
LCM of 68,404 is 6868 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9301,2958
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 9301
List of positive integer factors of 9301 that divides 9301 without a remainder.
1,71,131,9301
Factors of 2958
List of positive integer factors of 2958 that divides 2958 without a remainder.
1,2,3,6,17,29,34,51,58,87,102,174,493,986,1479,2958
Greatest Common Factor
We found the factors 9301,2958 . The biggest common factor number is the GCF number.
So the greatest common factor 9301,2958 is 1.
Lets's calculate LCM of 68,404
2 | 68, 404 |
2 | 34, 202 |
17, 101 |
∴ So the LCM of the given numbers is 2 x 2 x 17 x 101 = 6868
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6868
Therefore, the GCF of Fractions 9301/68,2958/404 is 1/6868
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 68,404 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(68,404) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(68,404) x common factors =4 x 1 = 4
LCM(68,404) = ( 68 × 404 ) / 4
LCM(68,404) = 27472 / 4
LCM(68,404) = 6868
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 9301/68, 2958/404?
Answer: GCF of Numerators as per given numbers 9301/68, 2958/404 is
GCF of Numerators i.e. for 9301,2958 is 1
LCM of denominators i.e. for 68,404 is 6868.
Thus, GCF of Fractions is 1/6868.Finally, GCF of Fractions for 9301/68, 2958/404 is 1/6868.