GCF of 504/33, 546/118
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 504/33, 546/118 i.e 42/3894 easily. The following is the detailed procedure to determine the greatest common factor of fractions 504/33, 546/118.
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 504/33,546/118?
Given fractions are 504/33,546/118
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 504/33,546/118, numerators are 504,546
Denominators are 33,118
The GCF of 504,546 is 42 .
LCM of 33,118 is 3894.
The greatest common factor of 504/33,546/118 = [GCF of 504,546]/[LCM of 33,118]= 42/3894
Therefore, the GCF of 504/33,546/118 is 42/3894.
To find the highest common factor of 504,546, we have to find the factors of both numbers and list the highest common factor.
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 factors of 546 are 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546
The HCF of 504,546 is 42.
Lets's calculate GCF of 504,546
| 2 | 504, 546 |
| 3 | 252, 273 |
| 7 | 84, 91 |
| 12, 13 |
∴ So the GCF of the given numbers is 2 x 3 x 7 = 42
Greatest Common Factor of 504,546 By Matching Biggest Common Factor Method
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
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 504,546 . The biggest common factor number is the GCF number.
So the greatest common factor 504,546 is 42.
Lets's calculate LCM of 33,118
Given numbers has no common factors except 1. So, there LCM is their product i.e 3894
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 42/3894
Therefore, the GCF of Fractions 504/33,546/118 is 42/3894
Least Common Multiple of 33,118 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 33,118 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(33,118) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(33,118) x common factors =1 x 1 = 1
LCM(33,118) = ( 33 × 118 ) / 1
LCM(33,118) = 3894 / 1
LCM(33,118) = 3894
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FAQs on GCF of Fractions of 504/33, 546/118
1. What is the HCF of 504,546?
The HCF of 504,546 is 42
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 504/33, 546/118?
Answer: GCF of Numerators as per given numbers 504/33, 546/118 is
GCF of Numerators i.e. for 504,546 is 42
LCM of denominators i.e. for 33,118 is 3894.
Thus, GCF of Fractions is 42/3894.Finally, GCF of Fractions for 504/33, 546/118 is 42/3894.