GCF of 6836/564, 9599/2865
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6836/564, 9599/2865 i.e 1/538620 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6836/564, 9599/2865.
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 6836/564,9599/2865?
Given fractions are 6836/564,9599/2865
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 6836/564,9599/2865, numerators are 6836,9599
Denominators are 564,2865
The GCF of 6836,9599 is 1 .
LCM of 564,2865 is 538620.
The greatest common factor of 6836/564,9599/2865 = [GCF of 6836,9599]/[LCM of 564,2865]= 1/538620
Therefore, the GCF of 6836/564,9599/2865 is 1/538620.
To find the highest common factor of 6836,9599, we have to find the factors of both numbers and list the highest common factor.
The factors of 6836 are 1, 2, 4, 1709, 3418, 6836
The factors of 9599 are 1, 29, 331, 9599
The HCF of 6836,9599 is 1.
Lets's calculate GCF of 6836,9599
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6836,9599 By Matching Biggest Common Factor Method
Now, list down the factors of 6836
:1,2,4,1709,3418,6836
Now, list down the factors of 9599
:1,29,331,9599
Greatest Common Factor
We found the factors 6836,9599 . The biggest common factor number is the GCF number.
So the greatest common factor 6836,9599 is 1.
Lets's calculate LCM of 564,2865
| 3 | 564, 2865 |
| 188, 955 |
∴ So the LCM of the given numbers is 3 x 188 x 955 = 538620
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/538620
Therefore, the GCF of Fractions 6836/564,9599/2865 is 1/538620
Least Common Multiple of 564,2865 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 564,2865 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(564,2865) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(564,2865) x common factors =3 x 1 = 3
LCM(564,2865) = ( 564 × 2865 ) / 3
LCM(564,2865) = 1615860 / 3
LCM(564,2865) = 538620
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FAQs on GCF of Fractions of 6836/564, 9599/2865
1. What is the HCF of 6836,9599?
The HCF of 6836,9599 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 6836/564, 9599/2865?
Answer: GCF of Numerators as per given numbers 6836/564, 9599/2865 is
GCF of Numerators i.e. for 6836,9599 is 1
LCM of denominators i.e. for 564,2865 is 538620.
Thus, GCF of Fractions is 1/538620.Finally, GCF of Fractions for 6836/564, 9599/2865 is 1/538620.