GCF of 1715/759, 2824/3144
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1715/759, 2824/3144 i.e 1/795432 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1715/759, 2824/3144.
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 1715/759,2824/3144?
Given fractions are 1715/759,2824/3144
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 1715/759,2824/3144, numerators are 1715,2824
Denominators are 759,3144
The GCF of 1715,2824 is 1 .
LCM of 759,3144 is 795432.
The greatest common factor of 1715/759,2824/3144 = [GCF of 1715,2824]/[LCM of 759,3144]= 1/795432
Therefore, the GCF of 1715/759,2824/3144 is 1/795432.
To find the highest common factor of 1715,2824, we have to find the factors of both numbers and list the highest common factor.
The factors of 1715 are 1, 5, 7, 35, 49, 245, 343, 1715
The factors of 2824 are 1, 2, 4, 8, 353, 706, 1412, 2824
The HCF of 1715,2824 is 1.
Lets's calculate GCF of 1715,2824
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1715,2824 By Matching Biggest Common Factor Method
Now, list down the factors of 1715
:1,5,7,35,49,245,343,1715
Now, list down the factors of 2824
:1,2,4,8,353,706,1412,2824
Greatest Common Factor
We found the factors 1715,2824 . The biggest common factor number is the GCF number.
So the greatest common factor 1715,2824 is 1.
Lets's calculate LCM of 759,3144
| 3 | 759, 3144 |
| 253, 1048 |
∴ So the LCM of the given numbers is 3 x 253 x 1048 = 795432
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/795432
Therefore, the GCF of Fractions 1715/759,2824/3144 is 1/795432
Least Common Multiple of 759,3144 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 759,3144 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(759,3144) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(759,3144) x common factors =3 x 1 = 3
LCM(759,3144) = ( 759 × 3144 ) / 3
LCM(759,3144) = 2386296 / 3
LCM(759,3144) = 795432
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FAQs on GCF of Fractions of 1715/759, 2824/3144
1. What is the HCF of 1715,2824?
The HCF of 1715,2824 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 1715/759, 2824/3144?
Answer: GCF of Numerators as per given numbers 1715/759, 2824/3144 is
GCF of Numerators i.e. for 1715,2824 is 1
LCM of denominators i.e. for 759,3144 is 795432.
Thus, GCF of Fractions is 1/795432.Finally, GCF of Fractions for 1715/759, 2824/3144 is 1/795432.