GCF of 2824/758, 3289/1257
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2824/758, 3289/1257 i.e 1/952806 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2824/758, 3289/1257.
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 2824/758,3289/1257?
Given fractions are 2824/758,3289/1257
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 2824/758,3289/1257, numerators are 2824,3289
Denominators are 758,1257
The GCF of 2824,3289 is 1 .
LCM of 758,1257 is 952806.
The greatest common factor of 2824/758,3289/1257 = [GCF of 2824,3289]/[LCM of 758,1257]= 1/952806
Therefore, the GCF of 2824/758,3289/1257 is 1/952806.
To find the highest common factor of 2824,3289, we have to find the factors of both numbers and list the highest common factor.
The factors of 2824 are 1, 2, 4, 8, 353, 706, 1412, 2824
The factors of 3289 are 1, 11, 13, 23, 143, 253, 299, 3289
The HCF of 2824,3289 is 1.
Lets's calculate GCF of 2824,3289
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2824,3289 By Matching Biggest Common Factor Method
Now, list down the factors of 2824
:1,2,4,8,353,706,1412,2824
Now, list down the factors of 3289
:1,11,13,23,143,253,299,3289
Greatest Common Factor
We found the factors 2824,3289 . The biggest common factor number is the GCF number.
So the greatest common factor 2824,3289 is 1.
Lets's calculate LCM of 758,1257
Given numbers has no common factors except 1. So, there LCM is their product i.e 952806
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/952806
Therefore, the GCF of Fractions 2824/758,3289/1257 is 1/952806
Least Common Multiple of 758,1257 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 758,1257 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(758,1257) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(758,1257) x common factors =1 x 1 = 1
LCM(758,1257) = ( 758 × 1257 ) / 1
LCM(758,1257) = 952806 / 1
LCM(758,1257) = 952806
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 2824/758, 3289/1257
1. What is the HCF of 2824,3289?
The HCF of 2824,3289 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 2824/758, 3289/1257?
Answer: GCF of Numerators as per given numbers 2824/758, 3289/1257 is
GCF of Numerators i.e. for 2824,3289 is 1
LCM of denominators i.e. for 758,1257 is 952806.
Thus, GCF of Fractions is 1/952806.Finally, GCF of Fractions for 2824/758, 3289/1257 is 1/952806.