GCF of 6491/659, 8082/701
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6491/659, 8082/701 i.e 1/461959 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6491/659, 8082/701.
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 6491/659,8082/701?
Given fractions are 6491/659,8082/701
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 6491/659,8082/701, numerators are 6491,8082
Denominators are 659,701
The GCF of 6491,8082 is 1 .
LCM of 659,701 is 461959.
The greatest common factor of 6491/659,8082/701 = [GCF of 6491,8082]/[LCM of 659,701]= 1/461959
Therefore, the GCF of 6491/659,8082/701 is 1/461959.
To find the highest common factor of 6491,8082, we have to find the factors of both numbers and list the highest common factor.
The factors of 6491 are 1, 6491
The factors of 8082 are 1, 2, 3, 6, 9, 18, 449, 898, 1347, 2694, 4041, 8082
The HCF of 6491,8082 is 1.
Lets's calculate GCF of 6491,8082
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6491,8082 By Matching Biggest Common Factor Method
Now, list down the factors of 6491
:1,6491
Now, list down the factors of 8082
:1,2,3,6,9,18,449,898,1347,2694,4041,8082
Greatest Common Factor
We found the factors 6491,8082 . The biggest common factor number is the GCF number.
So the greatest common factor 6491,8082 is 1.
Lets's calculate LCM of 659,701
Given numbers has no common factors except 1. So, there LCM is their product i.e 461959
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/461959
Therefore, the GCF of Fractions 6491/659,8082/701 is 1/461959
Least Common Multiple of 659,701 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 659,701 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(659,701) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(659,701) x common factors =1 x 1 = 1
LCM(659,701) = ( 659 × 701 ) / 1
LCM(659,701) = 461959 / 1
LCM(659,701) = 461959
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FAQs on GCF of Fractions of 6491/659, 8082/701
1. What is the HCF of 6491,8082?
The HCF of 6491,8082 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 6491/659, 8082/701?
Answer: GCF of Numerators as per given numbers 6491/659, 8082/701 is
GCF of Numerators i.e. for 6491,8082 is 1
LCM of denominators i.e. for 659,701 is 461959.
Thus, GCF of Fractions is 1/461959.Finally, GCF of Fractions for 6491/659, 8082/701 is 1/461959.