GCF of 994/329, 546/550
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 994/329, 546/550 i.e 14/180950 easily. The following is the detailed procedure to determine the greatest common factor of fractions 994/329, 546/550.
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 994/329,546/550?
Given fractions are 994/329,546/550
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 994/329,546/550, numerators are 994,546
Denominators are 329,550
The GCF of 994,546 is 14 .
LCM of 329,550 is 180950.
The greatest common factor of 994/329,546/550 = [GCF of 994,546]/[LCM of 329,550]= 14/180950
Therefore, the GCF of 994/329,546/550 is 14/180950.
To find the highest common factor of 994,546, we have to find the factors of both numbers and list the highest common factor.
The factors of 994 are 1, 2, 7, 14, 71, 142, 497, 994
The factors of 546 are 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546
The HCF of 994,546 is 14.
Lets's calculate GCF of 994,546
| 2 | 994, 546 |
| 7 | 497, 273 |
| 71, 39 |
∴ So the GCF of the given numbers is 2 x 7 = 14
Greatest Common Factor of 994,546 By Matching Biggest Common Factor Method
Now, list down the factors of 994
:1,2,7,14,71,142,497,994
Now, list down the factors of 546
:1,2,3,6,7,13,14,21,26,39,42,78,91,182,273,546
Greatest Common Factor
We found the factors 994,546 . The biggest common factor number is the GCF number.
So the greatest common factor 994,546 is 14.
Lets's calculate LCM of 329,550
Given numbers has no common factors except 1. So, there LCM is their product i.e 180950
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 14/180950
Therefore, the GCF of Fractions 994/329,546/550 is 14/180950
Least Common Multiple of 329,550 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 329,550 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(329,550) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(329,550) x common factors =1 x 1 = 1
LCM(329,550) = ( 329 × 550 ) / 1
LCM(329,550) = 180950 / 1
LCM(329,550) = 180950
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FAQs on GCF of Fractions of 994/329, 546/550
1. What is the HCF of 994,546?
The HCF of 994,546 is 14
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 994/329, 546/550?
Answer: GCF of Numerators as per given numbers 994/329, 546/550 is
GCF of Numerators i.e. for 994,546 is 14
LCM of denominators i.e. for 329,550 is 180950.
Thus, GCF of Fractions is 14/180950.Finally, GCF of Fractions for 994/329, 546/550 is 14/180950.