GCF of 4546/676, 4066/9971
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4546/676, 4066/9971 i.e 2/39884 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4546/676, 4066/9971.
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 4546/676,4066/9971?
Given fractions are 4546/676,4066/9971
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 4546/676,4066/9971, numerators are 4546,4066
Denominators are 676,9971
The GCF of 4546,4066 is 2 .
LCM of 676,9971 is 39884.
The greatest common factor of 4546/676,4066/9971 = [GCF of 4546,4066]/[LCM of 676,9971]= 2/39884
Therefore, the GCF of 4546/676,4066/9971 is 2/39884.
To find the highest common factor of 4546,4066, we have to find the factors of both numbers and list the highest common factor.
The factors of 4546 are 1, 2, 2273, 4546
The factors of 4066 are 1, 2, 19, 38, 107, 214, 2033, 4066
The HCF of 4546,4066 is 2.
Lets's calculate GCF of 4546,4066
| 2 | 4546, 4066 |
| 2273, 2033 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 4546,4066 By Matching Biggest Common Factor Method
Now, list down the factors of 4546
:1,2,2273,4546
Now, list down the factors of 4066
:1,2,19,38,107,214,2033,4066
Greatest Common Factor
We found the factors 4546,4066 . The biggest common factor number is the GCF number.
So the greatest common factor 4546,4066 is 2.
Lets's calculate LCM of 676,9971
| 13 | 676, 9971 |
| 13 | 52, 767 |
| 4, 59 |
∴ So the LCM of the given numbers is 13 x 13 x 4 x 59 = 39884
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/39884
Therefore, the GCF of Fractions 4546/676,4066/9971 is 2/39884
Least Common Multiple of 676,9971 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 676,9971 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(676,9971) = 169
common factors(in case of two or more numbers have common factors) = 1
GCF(676,9971) x common factors =169 x 1 = 169
LCM(676,9971) = ( 676 × 9971 ) / 169
LCM(676,9971) = 6740396 / 169
LCM(676,9971) = 39884
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FAQs on GCF of Fractions of 4546/676, 4066/9971
1. What is the HCF of 4546,4066?
The HCF of 4546,4066 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 4546/676, 4066/9971?
Answer: GCF of Numerators as per given numbers 4546/676, 4066/9971 is
GCF of Numerators i.e. for 4546,4066 is 2
LCM of denominators i.e. for 676,9971 is 39884.
Thus, GCF of Fractions is 2/39884.Finally, GCF of Fractions for 4546/676, 4066/9971 is 2/39884.