Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7372/546,7930/6122
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 7372,7930
Greatest Common Factor of Numerators i.e. GCF of 7372,7930 is 2 .
LCM of Denominators means LCM of 546,6122 as per the given fractions.
LCM of 546,6122 is 1671306 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7372,7930
2 | 7372, 7930 |
3686, 3965 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 7372
List of positive integer factors of 7372 that divides 7372 without a remainder.
1,2,4,19,38,76,97,194,388,1843,3686,7372
Factors of 7930
List of positive integer factors of 7930 that divides 7930 without a remainder.
1,2,5,10,13,26,61,65,122,130,305,610,793,1586,3965,7930
Greatest Common Factor
We found the factors 7372,7930 . The biggest common factor number is the GCF number.
So the greatest common factor 7372,7930 is 2.
Lets's calculate LCM of 546,6122
2 | 546, 6122 |
273, 3061 |
∴ So the LCM of the given numbers is 2 x 273 x 3061 = 1671306
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1671306
Therefore, the GCF of Fractions 7372/546,7930/6122 is 2/1671306
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 546,6122 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(546,6122) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(546,6122) x common factors =2 x 1 = 2
LCM(546,6122) = ( 546 × 6122 ) / 2
LCM(546,6122) = 3342612 / 2
LCM(546,6122) = 1671306
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 7372/546, 7930/6122?
Answer: GCF of Numerators as per given numbers 7372/546, 7930/6122 is
GCF of Numerators i.e. for 7372,7930 is 2
LCM of denominators i.e. for 546,6122 is 1671306.
Thus, GCF of Fractions is 2/1671306.Finally, GCF of Fractions for 7372/546, 7930/6122 is 2/1671306.