Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7684/340,1197/4842
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 7684,1197
Greatest Common Factor of Numerators i.e. GCF of 7684,1197 is 1 .
LCM of Denominators means LCM of 340,4842 as per the given fractions.
LCM of 340,4842 is 823140 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7684,1197
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 7684
List of positive integer factors of 7684 that divides 7684 without a remainder.
1,2,4,17,34,68,113,226,452,1921,3842,7684
Factors of 1197
List of positive integer factors of 1197 that divides 1197 without a remainder.
1,3,7,9,19,21,57,63,133,171,399,1197
Greatest Common Factor
We found the factors 7684,1197 . The biggest common factor number is the GCF number.
So the greatest common factor 7684,1197 is 1.
Lets's calculate LCM of 340,4842
2 | 340, 4842 |
170, 2421 |
∴ So the LCM of the given numbers is 2 x 170 x 2421 = 823140
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/823140
Therefore, the GCF of Fractions 7684/340,1197/4842 is 1/823140
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 340,4842 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(340,4842) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(340,4842) x common factors =2 x 1 = 2
LCM(340,4842) = ( 340 × 4842 ) / 2
LCM(340,4842) = 1646280 / 2
LCM(340,4842) = 823140
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 7684/340, 1197/4842?
Answer: GCF of Numerators as per given numbers 7684/340, 1197/4842 is
GCF of Numerators i.e. for 7684,1197 is 1
LCM of denominators i.e. for 340,4842 is 823140.
Thus, GCF of Fractions is 1/823140.Finally, GCF of Fractions for 7684/340, 1197/4842 is 1/823140.