GCF of 8477/746, 4057/4122
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8477/746, 4057/4122 i.e 1/1537506 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8477/746, 4057/4122.
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 8477/746,4057/4122?
Given fractions are 8477/746,4057/4122
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 8477/746,4057/4122, numerators are 8477,4057
Denominators are 746,4122
The GCF of 8477,4057 is 1 .
LCM of 746,4122 is 1537506.
The greatest common factor of 8477/746,4057/4122 = [GCF of 8477,4057]/[LCM of 746,4122]= 1/1537506
Therefore, the GCF of 8477/746,4057/4122 is 1/1537506.
To find the highest common factor of 8477,4057, we have to find the factors of both numbers and list the highest common factor.
The factors of 8477 are 1, 7, 49, 173, 1211, 8477
The factors of 4057 are 1, 4057
The HCF of 8477,4057 is 1.
Lets's calculate GCF of 8477,4057
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8477,4057 By Matching Biggest Common Factor Method
Now, list down the factors of 8477
:1,7,49,173,1211,8477
Now, list down the factors of 4057
:1,4057
Greatest Common Factor
We found the factors 8477,4057 . The biggest common factor number is the GCF number.
So the greatest common factor 8477,4057 is 1.
Lets's calculate LCM of 746,4122
| 2 | 746, 4122 |
| 373, 2061 |
∴ So the LCM of the given numbers is 2 x 373 x 2061 = 1537506
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1537506
Therefore, the GCF of Fractions 8477/746,4057/4122 is 1/1537506
Least Common Multiple of 746,4122 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 746,4122 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(746,4122) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(746,4122) x common factors =2 x 1 = 2
LCM(746,4122) = ( 746 × 4122 ) / 2
LCM(746,4122) = 3075012 / 2
LCM(746,4122) = 1537506
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FAQs on GCF of Fractions of 8477/746, 4057/4122
1. What is the HCF of 8477,4057?
The HCF of 8477,4057 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 8477/746, 4057/4122?
Answer: GCF of Numerators as per given numbers 8477/746, 4057/4122 is
GCF of Numerators i.e. for 8477,4057 is 1
LCM of denominators i.e. for 746,4122 is 1537506.
Thus, GCF of Fractions is 1/1537506.Finally, GCF of Fractions for 8477/746, 4057/4122 is 1/1537506.