GCF of 9686/646, 6874/6353
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9686/646, 6874/6353 i.e 2/4104038 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9686/646, 6874/6353.
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 9686/646,6874/6353?
Given fractions are 9686/646,6874/6353
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 9686/646,6874/6353, numerators are 9686,6874
Denominators are 646,6353
The GCF of 9686,6874 is 2 .
LCM of 646,6353 is 4104038.
The greatest common factor of 9686/646,6874/6353 = [GCF of 9686,6874]/[LCM of 646,6353]= 2/4104038
Therefore, the GCF of 9686/646,6874/6353 is 2/4104038.
To find the highest common factor of 9686,6874, we have to find the factors of both numbers and list the highest common factor.
The factors of 9686 are 1, 2, 29, 58, 167, 334, 4843, 9686
The factors of 6874 are 1, 2, 7, 14, 491, 982, 3437, 6874
The HCF of 9686,6874 is 2.
Lets's calculate GCF of 9686,6874
| 2 | 9686, 6874 |
| 4843, 3437 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 9686,6874 By Matching Biggest Common Factor Method
Now, list down the factors of 9686
:1,2,29,58,167,334,4843,9686
Now, list down the factors of 6874
:1,2,7,14,491,982,3437,6874
Greatest Common Factor
We found the factors 9686,6874 . The biggest common factor number is the GCF number.
So the greatest common factor 9686,6874 is 2.
Lets's calculate LCM of 646,6353
Given numbers has no common factors except 1. So, there LCM is their product i.e 4104038
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/4104038
Therefore, the GCF of Fractions 9686/646,6874/6353 is 2/4104038
Least Common Multiple of 646,6353 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 646,6353 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(646,6353) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(646,6353) x common factors =1 x 1 = 1
LCM(646,6353) = ( 646 × 6353 ) / 1
LCM(646,6353) = 4104038 / 1
LCM(646,6353) = 4104038
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FAQs on GCF of Fractions of 9686/646, 6874/6353
1. What is the HCF of 9686,6874?
The HCF of 9686,6874 is 2
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 9686/646, 6874/6353?
Answer: GCF of Numerators as per given numbers 9686/646, 6874/6353 is
GCF of Numerators i.e. for 9686,6874 is 2
LCM of denominators i.e. for 646,6353 is 4104038.
Thus, GCF of Fractions is 2/4104038.Finally, GCF of Fractions for 9686/646, 6874/6353 is 2/4104038.