GCF of 6715/708, 9667/1725
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6715/708, 9667/1725 i.e 1/407100 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6715/708, 9667/1725.
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 6715/708,9667/1725?
Given fractions are 6715/708,9667/1725
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 6715/708,9667/1725, numerators are 6715,9667
Denominators are 708,1725
The GCF of 6715,9667 is 1 .
LCM of 708,1725 is 407100.
The greatest common factor of 6715/708,9667/1725 = [GCF of 6715,9667]/[LCM of 708,1725]= 1/407100
Therefore, the GCF of 6715/708,9667/1725 is 1/407100.
To find the highest common factor of 6715,9667, we have to find the factors of both numbers and list the highest common factor.
The factors of 6715 are 1, 5, 17, 79, 85, 395, 1343, 6715
The factors of 9667 are 1, 7, 1381, 9667
The HCF of 6715,9667 is 1.
Lets's calculate GCF of 6715,9667
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6715,9667 By Matching Biggest Common Factor Method
Now, list down the factors of 6715
:1,5,17,79,85,395,1343,6715
Now, list down the factors of 9667
:1,7,1381,9667
Greatest Common Factor
We found the factors 6715,9667 . The biggest common factor number is the GCF number.
So the greatest common factor 6715,9667 is 1.
Lets's calculate LCM of 708,1725
| 3 | 708, 1725 |
| 236, 575 |
∴ So the LCM of the given numbers is 3 x 236 x 575 = 407100
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/407100
Therefore, the GCF of Fractions 6715/708,9667/1725 is 1/407100
Least Common Multiple of 708,1725 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 708,1725 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(708,1725) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(708,1725) x common factors =3 x 1 = 3
LCM(708,1725) = ( 708 × 1725 ) / 3
LCM(708,1725) = 1221300 / 3
LCM(708,1725) = 407100
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FAQs on GCF of Fractions of 6715/708, 9667/1725
1. What is the HCF of 6715,9667?
The HCF of 6715,9667 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 6715/708, 9667/1725?
Answer: GCF of Numerators as per given numbers 6715/708, 9667/1725 is
GCF of Numerators i.e. for 6715,9667 is 1
LCM of denominators i.e. for 708,1725 is 407100.
Thus, GCF of Fractions is 1/407100.Finally, GCF of Fractions for 6715/708, 9667/1725 is 1/407100.