GCF of 6513/171, 9971/5601
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6513/171, 9971/5601 i.e 13/319257 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6513/171, 9971/5601.
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 6513/171,9971/5601?
Given fractions are 6513/171,9971/5601
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 6513/171,9971/5601, numerators are 6513,9971
Denominators are 171,5601
The GCF of 6513,9971 is 13 .
LCM of 171,5601 is 319257.
The greatest common factor of 6513/171,9971/5601 = [GCF of 6513,9971]/[LCM of 171,5601]= 13/319257
Therefore, the GCF of 6513/171,9971/5601 is 13/319257.
To find the highest common factor of 6513,9971, we have to find the factors of both numbers and list the highest common factor.
The factors of 6513 are 1, 3, 13, 39, 167, 501, 2171, 6513
The factors of 9971 are 1, 13, 59, 169, 767, 9971
The HCF of 6513,9971 is 13.
Lets's calculate GCF of 6513,9971
| 13 | 6513, 9971 |
| 501, 767 |
∴ So the GCF of the given numbers is 13 = 13
Greatest Common Factor of 6513,9971 By Matching Biggest Common Factor Method
Now, list down the factors of 6513
:1,3,13,39,167,501,2171,6513
Now, list down the factors of 9971
:1,13,59,169,767,9971
Greatest Common Factor
We found the factors 6513,9971 . The biggest common factor number is the GCF number.
So the greatest common factor 6513,9971 is 13.
Lets's calculate LCM of 171,5601
| 3 | 171, 5601 |
| 57, 1867 |
∴ So the LCM of the given numbers is 3 x 57 x 1867 = 319257
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/319257
Therefore, the GCF of Fractions 6513/171,9971/5601 is 13/319257
Least Common Multiple of 171,5601 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 171,5601 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(171,5601) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(171,5601) x common factors =3 x 1 = 3
LCM(171,5601) = ( 171 × 5601 ) / 3
LCM(171,5601) = 957771 / 3
LCM(171,5601) = 319257
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FAQs on GCF of Fractions of 6513/171, 9971/5601
1. What is the HCF of 6513,9971?
The HCF of 6513,9971 is 13
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 6513/171, 9971/5601?
Answer: GCF of Numerators as per given numbers 6513/171, 9971/5601 is
GCF of Numerators i.e. for 6513,9971 is 13
LCM of denominators i.e. for 171,5601 is 319257.
Thus, GCF of Fractions is 13/319257.Finally, GCF of Fractions for 6513/171, 9971/5601 is 13/319257.