GCF of 339/628, 9593/4553
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 339/628, 9593/4553 i.e 1/18212 easily. The following is the detailed procedure to determine the greatest common factor of fractions 339/628, 9593/4553.
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 339/628,9593/4553?
Given fractions are 339/628,9593/4553
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 339/628,9593/4553, numerators are 339,9593
Denominators are 628,4553
The GCF of 339,9593 is 1 .
LCM of 628,4553 is 18212.
The greatest common factor of 339/628,9593/4553 = [GCF of 339,9593]/[LCM of 628,4553]= 1/18212
Therefore, the GCF of 339/628,9593/4553 is 1/18212.
To find the highest common factor of 339,9593, we have to find the factors of both numbers and list the highest common factor.
The factors of 339 are 1, 3, 113, 339
The factors of 9593 are 1, 53, 181, 9593
The HCF of 339,9593 is 1.
Lets's calculate GCF of 339,9593
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 339,9593 By Matching Biggest Common Factor Method
Now, list down the factors of 339
:1,3,113,339
Now, list down the factors of 9593
:1,53,181,9593
Greatest Common Factor
We found the factors 339,9593 . The biggest common factor number is the GCF number.
So the greatest common factor 339,9593 is 1.
Lets's calculate LCM of 628,4553
| 157 | 628, 4553 |
| 4, 29 |
∴ So the LCM of the given numbers is 157 x 4 x 29 = 18212
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/18212
Therefore, the GCF of Fractions 339/628,9593/4553 is 1/18212
Least Common Multiple of 628,4553 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 628,4553 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(628,4553) = 157
common factors(in case of two or more numbers have common factors) = 1
GCF(628,4553) x common factors =157 x 1 = 157
LCM(628,4553) = ( 628 × 4553 ) / 157
LCM(628,4553) = 2859284 / 157
LCM(628,4553) = 18212
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FAQs on GCF of Fractions of 339/628, 9593/4553
1. What is the HCF of 339,9593?
The HCF of 339,9593 is 1
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 339/628, 9593/4553?
Answer: GCF of Numerators as per given numbers 339/628, 9593/4553 is
GCF of Numerators i.e. for 339,9593 is 1
LCM of denominators i.e. for 628,4553 is 18212.
Thus, GCF of Fractions is 1/18212.Finally, GCF of Fractions for 339/628, 9593/4553 is 1/18212.