GCF of 994/83, 504/558
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 994/83, 504/558 i.e 14/46314 easily. The following is the detailed procedure to determine the greatest common factor of fractions 994/83, 504/558.
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 994/83,504/558?
Given fractions are 994/83,504/558
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 994/83,504/558, numerators are 994,504
Denominators are 83,558
The GCF of 994,504 is 14 .
LCM of 83,558 is 46314.
The greatest common factor of 994/83,504/558 = [GCF of 994,504]/[LCM of 83,558]= 14/46314
Therefore, the GCF of 994/83,504/558 is 14/46314.
To find the highest common factor of 994,504, 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 504 are 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504
The HCF of 994,504 is 14.
Lets's calculate GCF of 994,504
| 2 | 994, 504 |
| 7 | 497, 252 |
| 71, 36 |
∴ So the GCF of the given numbers is 2 x 7 = 14
Greatest Common Factor of 994,504 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 504
:1,2,3,4,6,7,8,9,12,14,18,21,24,28,36,42,56,63,72,84,126,168,252,504
Greatest Common Factor
We found the factors 994,504 . The biggest common factor number is the GCF number.
So the greatest common factor 994,504 is 14.
Lets's calculate LCM of 83,558
Given numbers has no common factors except 1. So, there LCM is their product i.e 46314
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 14/46314
Therefore, the GCF of Fractions 994/83,504/558 is 14/46314
Least Common Multiple of 83,558 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 83,558 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(83,558) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(83,558) x common factors =1 x 1 = 1
LCM(83,558) = ( 83 × 558 ) / 1
LCM(83,558) = 46314 / 1
LCM(83,558) = 46314
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FAQs on GCF of Fractions of 994/83, 504/558
1. What is the HCF of 994,504?
The HCF of 994,504 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 994/83, 504/558?
Answer: GCF of Numerators as per given numbers 994/83, 504/558 is
GCF of Numerators i.e. for 994,504 is 14
LCM of denominators i.e. for 83,558 is 46314.
Thus, GCF of Fractions is 14/46314.Finally, GCF of Fractions for 994/83, 504/558 is 14/46314.