GCF of 462/99, 504/268
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 462/99, 504/268 i.e 42/26532 easily. The following is the detailed procedure to determine the greatest common factor of fractions 462/99, 504/268.
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 462/99,504/268?
Given fractions are 462/99,504/268
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 462/99,504/268, numerators are 462,504
Denominators are 99,268
The GCF of 462,504 is 42 .
LCM of 99,268 is 26532.
The greatest common factor of 462/99,504/268 = [GCF of 462,504]/[LCM of 99,268]= 42/26532
Therefore, the GCF of 462/99,504/268 is 42/26532.
To find the highest common factor of 462,504, we have to find the factors of both numbers and list the highest common factor.
The factors of 462 are 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462
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 462,504 is 42.
Lets's calculate GCF of 462,504
| 2 | 462, 504 |
| 3 | 231, 252 |
| 7 | 77, 84 |
| 11, 12 |
∴ So the GCF of the given numbers is 2 x 3 x 7 = 42
Greatest Common Factor of 462,504 By Matching Biggest Common Factor Method
Now, list down the factors of 462
:1,2,3,6,7,11,14,21,22,33,42,66,77,154,231,462
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 462,504 . The biggest common factor number is the GCF number.
So the greatest common factor 462,504 is 42.
Lets's calculate LCM of 99,268
Given numbers has no common factors except 1. So, there LCM is their product i.e 26532
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 42/26532
Therefore, the GCF of Fractions 462/99,504/268 is 42/26532
Least Common Multiple of 99,268 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 99,268 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(99,268) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(99,268) x common factors =1 x 1 = 1
LCM(99,268) = ( 99 × 268 ) / 1
LCM(99,268) = 26532 / 1
LCM(99,268) = 26532
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FAQs on GCF of Fractions of 462/99, 504/268
1. What is the HCF of 462,504?
The HCF of 462,504 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 462/99, 504/268?
Answer: GCF of Numerators as per given numbers 462/99, 504/268 is
GCF of Numerators i.e. for 462,504 is 42
LCM of denominators i.e. for 99,268 is 26532.
Thus, GCF of Fractions is 42/26532.Finally, GCF of Fractions for 462/99, 504/268 is 42/26532.