GCF of 4061/84, 5404/654
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4061/84, 5404/654 i.e 1/9156 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4061/84, 5404/654.
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 4061/84,5404/654?
Given fractions are 4061/84,5404/654
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 4061/84,5404/654, numerators are 4061,5404
Denominators are 84,654
The GCF of 4061,5404 is 1 .
LCM of 84,654 is 9156.
The greatest common factor of 4061/84,5404/654 = [GCF of 4061,5404]/[LCM of 84,654]= 1/9156
Therefore, the GCF of 4061/84,5404/654 is 1/9156.
To find the highest common factor of 4061,5404, we have to find the factors of both numbers and list the highest common factor.
The factors of 4061 are 1, 31, 131, 4061
The factors of 5404 are 1, 2, 4, 7, 14, 28, 193, 386, 772, 1351, 2702, 5404
The HCF of 4061,5404 is 1.
Lets's calculate GCF of 4061,5404
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4061,5404 By Matching Biggest Common Factor Method
Now, list down the factors of 4061
:1,31,131,4061
Now, list down the factors of 5404
:1,2,4,7,14,28,193,386,772,1351,2702,5404
Greatest Common Factor
We found the factors 4061,5404 . The biggest common factor number is the GCF number.
So the greatest common factor 4061,5404 is 1.
Lets's calculate LCM of 84,654
| 2 | 84, 654 |
| 3 | 42, 327 |
| 14, 109 |
∴ So the LCM of the given numbers is 2 x 3 x 14 x 109 = 9156
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9156
Therefore, the GCF of Fractions 4061/84,5404/654 is 1/9156
Least Common Multiple of 84,654 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 84,654 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(84,654) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(84,654) x common factors =6 x 1 = 6
LCM(84,654) = ( 84 × 654 ) / 6
LCM(84,654) = 54936 / 6
LCM(84,654) = 9156
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FAQs on GCF of Fractions of 4061/84, 5404/654
1. What is the HCF of 4061,5404?
The HCF of 4061,5404 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 4061/84, 5404/654?
Answer: GCF of Numerators as per given numbers 4061/84, 5404/654 is
GCF of Numerators i.e. for 4061,5404 is 1
LCM of denominators i.e. for 84,654 is 9156.
Thus, GCF of Fractions is 1/9156.Finally, GCF of Fractions for 4061/84, 5404/654 is 1/9156.