GCF of 7691/206, 8943/7016
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7691/206, 8943/7016 i.e 1/722648 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7691/206, 8943/7016.
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 7691/206,8943/7016?
Given fractions are 7691/206,8943/7016
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 7691/206,8943/7016, numerators are 7691,8943
Denominators are 206,7016
The GCF of 7691,8943 is 1 .
LCM of 206,7016 is 722648.
The greatest common factor of 7691/206,8943/7016 = [GCF of 7691,8943]/[LCM of 206,7016]= 1/722648
Therefore, the GCF of 7691/206,8943/7016 is 1/722648.
To find the highest common factor of 7691,8943, we have to find the factors of both numbers and list the highest common factor.
The factors of 7691 are 1, 7691
The factors of 8943 are 1, 3, 11, 33, 271, 813, 2981, 8943
The HCF of 7691,8943 is 1.
Lets's calculate GCF of 7691,8943
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7691,8943 By Matching Biggest Common Factor Method
Now, list down the factors of 7691
:1,7691
Now, list down the factors of 8943
:1,3,11,33,271,813,2981,8943
Greatest Common Factor
We found the factors 7691,8943 . The biggest common factor number is the GCF number.
So the greatest common factor 7691,8943 is 1.
Lets's calculate LCM of 206,7016
| 2 | 206, 7016 |
| 103, 3508 |
∴ So the LCM of the given numbers is 2 x 103 x 3508 = 722648
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/722648
Therefore, the GCF of Fractions 7691/206,8943/7016 is 1/722648
Least Common Multiple of 206,7016 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 206,7016 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(206,7016) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(206,7016) x common factors =2 x 1 = 2
LCM(206,7016) = ( 206 × 7016 ) / 2
LCM(206,7016) = 1445296 / 2
LCM(206,7016) = 722648
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FAQs on GCF of Fractions of 7691/206, 8943/7016
1. What is the HCF of 7691,8943?
The HCF of 7691,8943 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 7691/206, 8943/7016?
Answer: GCF of Numerators as per given numbers 7691/206, 8943/7016 is
GCF of Numerators i.e. for 7691,8943 is 1
LCM of denominators i.e. for 206,7016 is 722648.
Thus, GCF of Fractions is 1/722648.Finally, GCF of Fractions for 7691/206, 8943/7016 is 1/722648.