GCF of 9079/199, 3082/6567
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9079/199, 3082/6567 i.e 1/6567 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9079/199, 3082/6567.
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 9079/199,3082/6567?
Given fractions are 9079/199,3082/6567
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 9079/199,3082/6567, numerators are 9079,3082
Denominators are 199,6567
The GCF of 9079,3082 is 1 .
LCM of 199,6567 is 6567.
The greatest common factor of 9079/199,3082/6567 = [GCF of 9079,3082]/[LCM of 199,6567]= 1/6567
Therefore, the GCF of 9079/199,3082/6567 is 1/6567.
To find the highest common factor of 9079,3082, we have to find the factors of both numbers and list the highest common factor.
The factors of 9079 are 1, 7, 1297, 9079
The factors of 3082 are 1, 2, 23, 46, 67, 134, 1541, 3082
The HCF of 9079,3082 is 1.
Lets's calculate GCF of 9079,3082
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9079,3082 By Matching Biggest Common Factor Method
Now, list down the factors of 9079
:1,7,1297,9079
Now, list down the factors of 3082
:1,2,23,46,67,134,1541,3082
Greatest Common Factor
We found the factors 9079,3082 . The biggest common factor number is the GCF number.
So the greatest common factor 9079,3082 is 1.
Lets's calculate LCM of 199,6567
| 199 | 199, 6567 |
| 1, 33 |
∴ So the LCM of the given numbers is 199 x 1 x 33 = 6567
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6567
Therefore, the GCF of Fractions 9079/199,3082/6567 is 1/6567
Least Common Multiple of 199,6567 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 199,6567 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(199,6567) = 199
common factors(in case of two or more numbers have common factors) = 1
GCF(199,6567) x common factors =199 x 1 = 199
LCM(199,6567) = ( 199 × 6567 ) / 199
LCM(199,6567) = 1306833 / 199
LCM(199,6567) = 6567
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FAQs on GCF of Fractions of 9079/199, 3082/6567
1. What is the HCF of 9079,3082?
The HCF of 9079,3082 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 9079/199, 3082/6567?
Answer: GCF of Numerators as per given numbers 9079/199, 3082/6567 is
GCF of Numerators i.e. for 9079,3082 is 1
LCM of denominators i.e. for 199,6567 is 6567.
Thus, GCF of Fractions is 1/6567.Finally, GCF of Fractions for 9079/199, 3082/6567 is 1/6567.