GCF of 3797/417, 7982/7008
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3797/417, 7982/7008 i.e 1/974112 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3797/417, 7982/7008.
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 3797/417,7982/7008?
Given fractions are 3797/417,7982/7008
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 3797/417,7982/7008, numerators are 3797,7982
Denominators are 417,7008
The GCF of 3797,7982 is 1 .
LCM of 417,7008 is 974112.
The greatest common factor of 3797/417,7982/7008 = [GCF of 3797,7982]/[LCM of 417,7008]= 1/974112
Therefore, the GCF of 3797/417,7982/7008 is 1/974112.
To find the highest common factor of 3797,7982, we have to find the factors of both numbers and list the highest common factor.
The factors of 3797 are 1, 3797
The factors of 7982 are 1, 2, 13, 26, 307, 614, 3991, 7982
The HCF of 3797,7982 is 1.
Lets's calculate GCF of 3797,7982
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3797,7982 By Matching Biggest Common Factor Method
Now, list down the factors of 3797
:1,3797
Now, list down the factors of 7982
:1,2,13,26,307,614,3991,7982
Greatest Common Factor
We found the factors 3797,7982 . The biggest common factor number is the GCF number.
So the greatest common factor 3797,7982 is 1.
Lets's calculate LCM of 417,7008
| 3 | 417, 7008 |
| 139, 2336 |
∴ So the LCM of the given numbers is 3 x 139 x 2336 = 974112
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/974112
Therefore, the GCF of Fractions 3797/417,7982/7008 is 1/974112
Least Common Multiple of 417,7008 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 417,7008 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(417,7008) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(417,7008) x common factors =3 x 1 = 3
LCM(417,7008) = ( 417 × 7008 ) / 3
LCM(417,7008) = 2922336 / 3
LCM(417,7008) = 974112
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FAQs on GCF of Fractions of 3797/417, 7982/7008
1. What is the HCF of 3797,7982?
The HCF of 3797,7982 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 3797/417, 7982/7008?
Answer: GCF of Numerators as per given numbers 3797/417, 7982/7008 is
GCF of Numerators i.e. for 3797,7982 is 1
LCM of denominators i.e. for 417,7008 is 974112.
Thus, GCF of Fractions is 1/974112.Finally, GCF of Fractions for 3797/417, 7982/7008 is 1/974112.