GCF of 1715/521, 5365/535
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1715/521, 5365/535 i.e 5/278735 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1715/521, 5365/535.
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 1715/521,5365/535?
Given fractions are 1715/521,5365/535
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 1715/521,5365/535, numerators are 1715,5365
Denominators are 521,535
The GCF of 1715,5365 is 5 .
LCM of 521,535 is 278735.
The greatest common factor of 1715/521,5365/535 = [GCF of 1715,5365]/[LCM of 521,535]= 5/278735
Therefore, the GCF of 1715/521,5365/535 is 5/278735.
To find the highest common factor of 1715,5365, 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 5365 are 1, 5, 29, 37, 145, 185, 1073, 5365
The HCF of 1715,5365 is 5.
Lets's calculate GCF of 1715,5365
| 5 | 1715, 5365 |
| 343, 1073 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 1715,5365 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 5365
:1,5,29,37,145,185,1073,5365
Greatest Common Factor
We found the factors 1715,5365 . The biggest common factor number is the GCF number.
So the greatest common factor 1715,5365 is 5.
Lets's calculate LCM of 521,535
Given numbers has no common factors except 1. So, there LCM is their product i.e 278735
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/278735
Therefore, the GCF of Fractions 1715/521,5365/535 is 5/278735
Least Common Multiple of 521,535 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 521,535 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(521,535) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(521,535) x common factors =1 x 1 = 1
LCM(521,535) = ( 521 × 535 ) / 1
LCM(521,535) = 278735 / 1
LCM(521,535) = 278735
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FAQs on GCF of Fractions of 1715/521, 5365/535
1. What is the HCF of 1715,5365?
The HCF of 1715,5365 is 5
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 1715/521, 5365/535?
Answer: GCF of Numerators as per given numbers 1715/521, 5365/535 is
GCF of Numerators i.e. for 1715,5365 is 5
LCM of denominators i.e. for 521,535 is 278735.
Thus, GCF of Fractions is 5/278735.Finally, GCF of Fractions for 1715/521, 5365/535 is 5/278735.