GCF of 1751/579, 1436/315
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1751/579, 1436/315 i.e 1/60795 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1751/579, 1436/315.
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 1751/579,1436/315?
Given fractions are 1751/579,1436/315
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 1751/579,1436/315, numerators are 1751,1436
Denominators are 579,315
The GCF of 1751,1436 is 1 .
LCM of 579,315 is 60795.
The greatest common factor of 1751/579,1436/315 = [GCF of 1751,1436]/[LCM of 579,315]= 1/60795
Therefore, the GCF of 1751/579,1436/315 is 1/60795.
To find the highest common factor of 1751,1436, we have to find the factors of both numbers and list the highest common factor.
The factors of 1751 are 1, 17, 103, 1751
The factors of 1436 are 1, 2, 4, 359, 718, 1436
The HCF of 1751,1436 is 1.
Lets's calculate GCF of 1751,1436
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1751,1436 By Matching Biggest Common Factor Method
Now, list down the factors of 1751
:1,17,103,1751
Now, list down the factors of 1436
:1,2,4,359,718,1436
Greatest Common Factor
We found the factors 1751,1436 . The biggest common factor number is the GCF number.
So the greatest common factor 1751,1436 is 1.
Lets's calculate LCM of 579,315
| 3 | 579, 315 |
| 193, 105 |
∴ So the LCM of the given numbers is 3 x 193 x 105 = 60795
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/60795
Therefore, the GCF of Fractions 1751/579,1436/315 is 1/60795
Least Common Multiple of 579,315 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 579,315 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(579,315) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(579,315) x common factors =3 x 1 = 3
LCM(579,315) = ( 579 × 315 ) / 3
LCM(579,315) = 182385 / 3
LCM(579,315) = 60795
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FAQs on GCF of Fractions of 1751/579, 1436/315
1. What is the HCF of 1751,1436?
The HCF of 1751,1436 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 1751/579, 1436/315?
Answer: GCF of Numerators as per given numbers 1751/579, 1436/315 is
GCF of Numerators i.e. for 1751,1436 is 1
LCM of denominators i.e. for 579,315 is 60795.
Thus, GCF of Fractions is 1/60795.Finally, GCF of Fractions for 1751/579, 1436/315 is 1/60795.