GCF of 1393/857, 6336/7187
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1393/857, 6336/7187 i.e 1/6159259 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1393/857, 6336/7187.
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 1393/857,6336/7187?
Given fractions are 1393/857,6336/7187
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 1393/857,6336/7187, numerators are 1393,6336
Denominators are 857,7187
The GCF of 1393,6336 is 1 .
LCM of 857,7187 is 6159259.
The greatest common factor of 1393/857,6336/7187 = [GCF of 1393,6336]/[LCM of 857,7187]= 1/6159259
Therefore, the GCF of 1393/857,6336/7187 is 1/6159259.
To find the highest common factor of 1393,6336, we have to find the factors of both numbers and list the highest common factor.
The factors of 1393 are 1, 7, 199, 1393
The factors of 6336 are 1, 2, 3, 4, 6, 8, 9, 11, 12, 16, 18, 22, 24, 32, 33, 36, 44, 48, 64, 66, 72, 88, 96, 99, 132, 144, 176, 192, 198, 264, 288, 352, 396, 528, 576, 704, 792, 1056, 1584, 2112, 3168, 6336
The HCF of 1393,6336 is 1.
Lets's calculate GCF of 1393,6336
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1393,6336 By Matching Biggest Common Factor Method
Now, list down the factors of 1393
:1,7,199,1393
Now, list down the factors of 6336
:1,2,3,4,6,8,9,11,12,16,18,22,24,32,33,36,44,48,64,66,72,88,96,99,132,144,176,192,198,264,288,352,396,528,576,704,792,1056,1584,2112,3168,6336
Greatest Common Factor
We found the factors 1393,6336 . The biggest common factor number is the GCF number.
So the greatest common factor 1393,6336 is 1.
Lets's calculate LCM of 857,7187
Given numbers has no common factors except 1. So, there LCM is their product i.e 6159259
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6159259
Therefore, the GCF of Fractions 1393/857,6336/7187 is 1/6159259
Least Common Multiple of 857,7187 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 857,7187 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(857,7187) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(857,7187) x common factors =1 x 1 = 1
LCM(857,7187) = ( 857 × 7187 ) / 1
LCM(857,7187) = 6159259 / 1
LCM(857,7187) = 6159259
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 1393/857, 6336/7187
1. What is the HCF of 1393,6336?
The HCF of 1393,6336 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 1393/857, 6336/7187?
Answer: GCF of Numerators as per given numbers 1393/857, 6336/7187 is
GCF of Numerators i.e. for 1393,6336 is 1
LCM of denominators i.e. for 857,7187 is 6159259.
Thus, GCF of Fractions is 1/6159259.Finally, GCF of Fractions for 1393/857, 6336/7187 is 1/6159259.