GCF of 6887/164, 4682/9794
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6887/164, 4682/9794 i.e 1/803108 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6887/164, 4682/9794.
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 6887/164,4682/9794?
Given fractions are 6887/164,4682/9794
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 6887/164,4682/9794, numerators are 6887,4682
Denominators are 164,9794
The GCF of 6887,4682 is 1 .
LCM of 164,9794 is 803108.
The greatest common factor of 6887/164,4682/9794 = [GCF of 6887,4682]/[LCM of 164,9794]= 1/803108
Therefore, the GCF of 6887/164,4682/9794 is 1/803108.
To find the highest common factor of 6887,4682, we have to find the factors of both numbers and list the highest common factor.
The factors of 6887 are 1, 71, 97, 6887
The factors of 4682 are 1, 2, 2341, 4682
The HCF of 6887,4682 is 1.
Lets's calculate GCF of 6887,4682
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6887,4682 By Matching Biggest Common Factor Method
Now, list down the factors of 6887
:1,71,97,6887
Now, list down the factors of 4682
:1,2,2341,4682
Greatest Common Factor
We found the factors 6887,4682 . The biggest common factor number is the GCF number.
So the greatest common factor 6887,4682 is 1.
Lets's calculate LCM of 164,9794
| 2 | 164, 9794 |
| 82, 4897 |
∴ So the LCM of the given numbers is 2 x 82 x 4897 = 803108
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/803108
Therefore, the GCF of Fractions 6887/164,4682/9794 is 1/803108
Least Common Multiple of 164,9794 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 164,9794 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(164,9794) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(164,9794) x common factors =2 x 1 = 2
LCM(164,9794) = ( 164 × 9794 ) / 2
LCM(164,9794) = 1606216 / 2
LCM(164,9794) = 803108
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FAQs on GCF of Fractions of 6887/164, 4682/9794
1. What is the HCF of 6887,4682?
The HCF of 6887,4682 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 6887/164, 4682/9794?
Answer: GCF of Numerators as per given numbers 6887/164, 4682/9794 is
GCF of Numerators i.e. for 6887,4682 is 1
LCM of denominators i.e. for 164,9794 is 803108.
Thus, GCF of Fractions is 1/803108.Finally, GCF of Fractions for 6887/164, 4682/9794 is 1/803108.