GCF of 9629/159, 9767/5001
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9629/159, 9767/5001 i.e 1/265053 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9629/159, 9767/5001.
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 9629/159,9767/5001?
Given fractions are 9629/159,9767/5001
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 9629/159,9767/5001, numerators are 9629,9767
Denominators are 159,5001
The GCF of 9629,9767 is 1 .
LCM of 159,5001 is 265053.
The greatest common factor of 9629/159,9767/5001 = [GCF of 9629,9767]/[LCM of 159,5001]= 1/265053
Therefore, the GCF of 9629/159,9767/5001 is 1/265053.
To find the highest common factor of 9629,9767, we have to find the factors of both numbers and list the highest common factor.
The factors of 9629 are 1, 9629
The factors of 9767 are 1, 9767
The HCF of 9629,9767 is 1.
Lets's calculate GCF of 9629,9767
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9629,9767 By Matching Biggest Common Factor Method
Now, list down the factors of 9629
:1,9629
Now, list down the factors of 9767
:1,9767
Greatest Common Factor
We found the factors 9629,9767 . The biggest common factor number is the GCF number.
So the greatest common factor 9629,9767 is 1.
Lets's calculate LCM of 159,5001
| 3 | 159, 5001 |
| 53, 1667 |
∴ So the LCM of the given numbers is 3 x 53 x 1667 = 265053
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/265053
Therefore, the GCF of Fractions 9629/159,9767/5001 is 1/265053
Least Common Multiple of 159,5001 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 159,5001 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(159,5001) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(159,5001) x common factors =3 x 1 = 3
LCM(159,5001) = ( 159 × 5001 ) / 3
LCM(159,5001) = 795159 / 3
LCM(159,5001) = 265053
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FAQs on GCF of Fractions of 9629/159, 9767/5001
1. What is the HCF of 9629,9767?
The HCF of 9629,9767 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 9629/159, 9767/5001?
Answer: GCF of Numerators as per given numbers 9629/159, 9767/5001 is
GCF of Numerators i.e. for 9629,9767 is 1
LCM of denominators i.e. for 159,5001 is 265053.
Thus, GCF of Fractions is 1/265053.Finally, GCF of Fractions for 9629/159, 9767/5001 is 1/265053.