GCF of 7982/497, 3676/8142
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7982/497, 3676/8142 i.e 2/4046574 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7982/497, 3676/8142.
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 7982/497,3676/8142?
Given fractions are 7982/497,3676/8142
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 7982/497,3676/8142, numerators are 7982,3676
Denominators are 497,8142
The GCF of 7982,3676 is 2 .
LCM of 497,8142 is 4046574.
The greatest common factor of 7982/497,3676/8142 = [GCF of 7982,3676]/[LCM of 497,8142]= 2/4046574
Therefore, the GCF of 7982/497,3676/8142 is 2/4046574.
To find the highest common factor of 7982,3676, we have to find the factors of both numbers and list the highest common factor.
The factors of 7982 are 1, 2, 13, 26, 307, 614, 3991, 7982
The factors of 3676 are 1, 2, 4, 919, 1838, 3676
The HCF of 7982,3676 is 2.
Lets's calculate GCF of 7982,3676
| 2 | 7982, 3676 |
| 3991, 1838 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 7982,3676 By Matching Biggest Common Factor Method
Now, list down the factors of 7982
:1,2,13,26,307,614,3991,7982
Now, list down the factors of 3676
:1,2,4,919,1838,3676
Greatest Common Factor
We found the factors 7982,3676 . The biggest common factor number is the GCF number.
So the greatest common factor 7982,3676 is 2.
Lets's calculate LCM of 497,8142
Given numbers has no common factors except 1. So, there LCM is their product i.e 4046574
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/4046574
Therefore, the GCF of Fractions 7982/497,3676/8142 is 2/4046574
Least Common Multiple of 497,8142 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 497,8142 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(497,8142) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(497,8142) x common factors =1 x 1 = 1
LCM(497,8142) = ( 497 × 8142 ) / 1
LCM(497,8142) = 4046574 / 1
LCM(497,8142) = 4046574
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FAQs on GCF of Fractions of 7982/497, 3676/8142
1. What is the HCF of 7982,3676?
The HCF of 7982,3676 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 7982/497, 3676/8142?
Answer: GCF of Numerators as per given numbers 7982/497, 3676/8142 is
GCF of Numerators i.e. for 7982,3676 is 2
LCM of denominators i.e. for 497,8142 is 4046574.
Thus, GCF of Fractions is 2/4046574.Finally, GCF of Fractions for 7982/497, 3676/8142 is 2/4046574.