GCF of 691/306, 9809/5782
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 691/306, 9809/5782 i.e 1/884646 easily. The following is the detailed procedure to determine the greatest common factor of fractions 691/306, 9809/5782.
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 691/306,9809/5782?
Given fractions are 691/306,9809/5782
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 691/306,9809/5782, numerators are 691,9809
Denominators are 306,5782
The GCF of 691,9809 is 1 .
LCM of 306,5782 is 884646.
The greatest common factor of 691/306,9809/5782 = [GCF of 691,9809]/[LCM of 306,5782]= 1/884646
Therefore, the GCF of 691/306,9809/5782 is 1/884646.
To find the highest common factor of 691,9809, we have to find the factors of both numbers and list the highest common factor.
The factors of 691 are 1, 691
The factors of 9809 are 1, 17, 577, 9809
The HCF of 691,9809 is 1.
Lets's calculate GCF of 691,9809
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 691,9809 By Matching Biggest Common Factor Method
Now, list down the factors of 691
:1,691
Now, list down the factors of 9809
:1,17,577,9809
Greatest Common Factor
We found the factors 691,9809 . The biggest common factor number is the GCF number.
So the greatest common factor 691,9809 is 1.
Lets's calculate LCM of 306,5782
| 2 | 306, 5782 |
| 153, 2891 |
∴ So the LCM of the given numbers is 2 x 153 x 2891 = 884646
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/884646
Therefore, the GCF of Fractions 691/306,9809/5782 is 1/884646
Least Common Multiple of 306,5782 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 306,5782 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(306,5782) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(306,5782) x common factors =2 x 1 = 2
LCM(306,5782) = ( 306 × 5782 ) / 2
LCM(306,5782) = 1769292 / 2
LCM(306,5782) = 884646
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FAQs on GCF of Fractions of 691/306, 9809/5782
1. What is the HCF of 691,9809?
The HCF of 691,9809 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 691/306, 9809/5782?
Answer: GCF of Numerators as per given numbers 691/306, 9809/5782 is
GCF of Numerators i.e. for 691,9809 is 1
LCM of denominators i.e. for 306,5782 is 884646.
Thus, GCF of Fractions is 1/884646.Finally, GCF of Fractions for 691/306, 9809/5782 is 1/884646.