GCF of 488/54, 422/4692
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 488/54, 422/4692 i.e 2/42228 easily. The following is the detailed procedure to determine the greatest common factor of fractions 488/54, 422/4692.
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 488/54,422/4692?
Given fractions are 488/54,422/4692
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 488/54,422/4692, numerators are 488,422
Denominators are 54,4692
The GCF of 488,422 is 2 .
LCM of 54,4692 is 42228.
The greatest common factor of 488/54,422/4692 = [GCF of 488,422]/[LCM of 54,4692]= 2/42228
Therefore, the GCF of 488/54,422/4692 is 2/42228.
To find the highest common factor of 488,422, we have to find the factors of both numbers and list the highest common factor.
The factors of 488 are 1, 2, 4, 8, 61, 122, 244, 488
The factors of 422 are 1, 2, 211, 422
The HCF of 488,422 is 2.
Lets's calculate GCF of 488,422
| 2 | 488, 422 |
| 244, 211 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 488,422 By Matching Biggest Common Factor Method
Now, list down the factors of 488
:1,2,4,8,61,122,244,488
Now, list down the factors of 422
:1,2,211,422
Greatest Common Factor
We found the factors 488,422 . The biggest common factor number is the GCF number.
So the greatest common factor 488,422 is 2.
Lets's calculate LCM of 54,4692
| 2 | 54, 4692 |
| 3 | 27, 2346 |
| 9, 782 |
∴ So the LCM of the given numbers is 2 x 3 x 9 x 782 = 42228
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/42228
Therefore, the GCF of Fractions 488/54,422/4692 is 2/42228
Least Common Multiple of 54,4692 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 54,4692 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(54,4692) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(54,4692) x common factors =6 x 1 = 6
LCM(54,4692) = ( 54 × 4692 ) / 6
LCM(54,4692) = 253368 / 6
LCM(54,4692) = 42228
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FAQs on GCF of Fractions of 488/54, 422/4692
1. What is the HCF of 488,422?
The HCF of 488,422 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 488/54, 422/4692?
Answer: GCF of Numerators as per given numbers 488/54, 422/4692 is
GCF of Numerators i.e. for 488,422 is 2
LCM of denominators i.e. for 54,4692 is 42228.
Thus, GCF of Fractions is 2/42228.Finally, GCF of Fractions for 488/54, 422/4692 is 2/42228.