GCF of 3247/339, 1845/158
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3247/339, 1845/158 i.e 1/53562 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3247/339, 1845/158.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 3247/339,1845/158?
Given fractions are 3247/339,1845/158
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 3247/339,1845/158, numerators are 3247,1845
Denominators are 339,158
The GCF of 3247,1845 is 1 .
LCM of 339,158 is 53562.
The greatest common factor of 3247/339,1845/158 = [GCF of 3247,1845]/[LCM of 339,158]= 1/53562
Therefore, the GCF of 3247/339,1845/158 is 1/53562.
To find the highest common factor of 3247,1845, we have to find the factors of both numbers and list the highest common factor.
The factors of 3247 are 1, 17, 191, 3247
The factors of 1845 are 1, 3, 5, 9, 15, 41, 45, 123, 205, 369, 615, 1845
The HCF of 3247,1845 is 1.
Lets's calculate GCF of 3247,1845
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3247,1845 By Matching Biggest Common Factor Method
Now, list down the factors of 3247
:1,17,191,3247
Now, list down the factors of 1845
:1,3,5,9,15,41,45,123,205,369,615,1845
Greatest Common Factor
We found the factors 3247,1845 . The biggest common factor number is the GCF number.
So the greatest common factor 3247,1845 is 1.
Lets's calculate LCM of 339,158
Given numbers has no common factors except 1. So, there LCM is their product i.e 53562
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/53562
Therefore, the GCF of Fractions 3247/339,1845/158 is 1/53562
Least Common Multiple of 339,158 with GCF Formula
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 339,158 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(339,158) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(339,158) x common factors =1 x 1 = 1
LCM(339,158) = ( 339 × 158 ) / 1
LCM(339,158) = 53562 / 1
LCM(339,158) = 53562
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 3247/339, 1845/158
1. What is the HCF of 3247,1845?
The HCF of 3247,1845 is 1
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. 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.
4. What is the GCF of Fractions for 3247/339, 1845/158?
Answer: GCF of Numerators as per given numbers 3247/339, 1845/158 is
GCF of Numerators i.e. for 3247,1845 is 1
LCM of denominators i.e. for 339,158 is 53562.
Thus, GCF of Fractions is 1/53562.Finally, GCF of Fractions for 3247/339, 1845/158 is 1/53562.