GCF of 497/958, 427/844
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 497/958, 427/844 i.e 7/404276 easily. The following is the detailed procedure to determine the greatest common factor of fractions 497/958, 427/844.
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 497/958,427/844?
Given fractions are 497/958,427/844
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 497/958,427/844, numerators are 497,427
Denominators are 958,844
The GCF of 497,427 is 7 .
LCM of 958,844 is 404276.
The greatest common factor of 497/958,427/844 = [GCF of 497,427]/[LCM of 958,844]= 7/404276
Therefore, the GCF of 497/958,427/844 is 7/404276.
To find the highest common factor of 497,427, we have to find the factors of both numbers and list the highest common factor.
The factors of 497 are 1, 7, 71, 497
The factors of 427 are 1, 7, 61, 427
The HCF of 497,427 is 7.
Lets's calculate GCF of 497,427
| 7 | 497, 427 |
| 71, 61 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 497,427 By Matching Biggest Common Factor Method
Now, list down the factors of 497
:1,7,71,497
Now, list down the factors of 427
:1,7,61,427
Greatest Common Factor
We found the factors 497,427 . The biggest common factor number is the GCF number.
So the greatest common factor 497,427 is 7.
Lets's calculate LCM of 958,844
| 2 | 958, 844 |
| 479, 422 |
∴ So the LCM of the given numbers is 2 x 479 x 422 = 404276
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/404276
Therefore, the GCF of Fractions 497/958,427/844 is 7/404276
Least Common Multiple of 958,844 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 958,844 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(958,844) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(958,844) x common factors =2 x 1 = 2
LCM(958,844) = ( 958 × 844 ) / 2
LCM(958,844) = 808552 / 2
LCM(958,844) = 404276
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FAQs on GCF of Fractions of 497/958, 427/844
1. What is the HCF of 497,427?
The HCF of 497,427 is 7
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 497/958, 427/844?
Answer: GCF of Numerators as per given numbers 497/958, 427/844 is
GCF of Numerators i.e. for 497,427 is 7
LCM of denominators i.e. for 958,844 is 404276.
Thus, GCF of Fractions is 7/404276.Finally, GCF of Fractions for 497/958, 427/844 is 7/404276.