GCF of 7986/202, 6446/8122
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7986/202, 6446/8122 i.e 22/820322 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7986/202, 6446/8122.
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 7986/202,6446/8122?
Given fractions are 7986/202,6446/8122
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 7986/202,6446/8122, numerators are 7986,6446
Denominators are 202,8122
The GCF of 7986,6446 is 22 .
LCM of 202,8122 is 820322.
The greatest common factor of 7986/202,6446/8122 = [GCF of 7986,6446]/[LCM of 202,8122]= 22/820322
Therefore, the GCF of 7986/202,6446/8122 is 22/820322.
To find the highest common factor of 7986,6446, we have to find the factors of both numbers and list the highest common factor.
The factors of 7986 are 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726, 1331, 2662, 3993, 7986
The factors of 6446 are 1, 2, 11, 22, 293, 586, 3223, 6446
The HCF of 7986,6446 is 22.
Lets's calculate GCF of 7986,6446
| 2 | 7986, 6446 |
| 11 | 3993, 3223 |
| 363, 293 |
∴ So the GCF of the given numbers is 2 x 11 = 22
Greatest Common Factor of 7986,6446 By Matching Biggest Common Factor Method
Now, list down the factors of 7986
:1,2,3,6,11,22,33,66,121,242,363,726,1331,2662,3993,7986
Now, list down the factors of 6446
:1,2,11,22,293,586,3223,6446
Greatest Common Factor
We found the factors 7986,6446 . The biggest common factor number is the GCF number.
So the greatest common factor 7986,6446 is 22.
Lets's calculate LCM of 202,8122
| 2 | 202, 8122 |
| 101, 4061 |
∴ So the LCM of the given numbers is 2 x 101 x 4061 = 820322
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 22/820322
Therefore, the GCF of Fractions 7986/202,6446/8122 is 22/820322
Least Common Multiple of 202,8122 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 202,8122 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(202,8122) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(202,8122) x common factors =2 x 1 = 2
LCM(202,8122) = ( 202 × 8122 ) / 2
LCM(202,8122) = 1640644 / 2
LCM(202,8122) = 820322
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FAQs on GCF of Fractions of 7986/202, 6446/8122
1. What is the HCF of 7986,6446?
The HCF of 7986,6446 is 22
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 7986/202, 6446/8122?
Answer: GCF of Numerators as per given numbers 7986/202, 6446/8122 is
GCF of Numerators i.e. for 7986,6446 is 22
LCM of denominators i.e. for 202,8122 is 820322.
Thus, GCF of Fractions is 22/820322.Finally, GCF of Fractions for 7986/202, 6446/8122 is 22/820322.