Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 301/130,4790/522
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 301,4790
Greatest Common Factor of Numerators i.e. GCF of 301,4790 is 1 .
LCM of Denominators means LCM of 130,522 as per the given fractions.
LCM of 130,522 is 33930 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 301,4790
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 301
List of positive integer factors of 301 that divides 301 without a remainder.
1,7,43,301
Factors of 4790
List of positive integer factors of 4790 that divides 4790 without a remainder.
1,2,5,10,479,958,2395,4790
Greatest Common Factor
We found the factors 301,4790 . The biggest common factor number is the GCF number.
So the greatest common factor 301,4790 is 1.
Lets's calculate LCM of 130,522
2 | 130, 522 |
65, 261 |
∴ So the LCM of the given numbers is 2 x 65 x 261 = 33930
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/33930
Therefore, the GCF of Fractions 301/130,4790/522 is 1/33930
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 130,522 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(130,522) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(130,522) x common factors =2 x 1 = 2
LCM(130,522) = ( 130 × 522 ) / 2
LCM(130,522) = 67860 / 2
LCM(130,522) = 33930
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 301/130, 4790/522?
Answer: GCF of Numerators as per given numbers 301/130, 4790/522 is
GCF of Numerators i.e. for 301,4790 is 1
LCM of denominators i.e. for 130,522 is 33930.
Thus, GCF of Fractions is 1/33930.Finally, GCF of Fractions for 301/130, 4790/522 is 1/33930.