GCF of 658/480, 5734/369
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 658/480, 5734/369 i.e 94/59040 easily. The following is the detailed procedure to determine the greatest common factor of fractions 658/480, 5734/369.
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 658/480,5734/369?
Given fractions are 658/480,5734/369
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 658/480,5734/369, numerators are 658,5734
Denominators are 480,369
The GCF of 658,5734 is 94 .
LCM of 480,369 is 59040.
The greatest common factor of 658/480,5734/369 = [GCF of 658,5734]/[LCM of 480,369]= 94/59040
Therefore, the GCF of 658/480,5734/369 is 94/59040.
To find the highest common factor of 658,5734, we have to find the factors of both numbers and list the highest common factor.
The factors of 658 are 1, 2, 7, 14, 47, 94, 329, 658
The factors of 5734 are 1, 2, 47, 61, 94, 122, 2867, 5734
The HCF of 658,5734 is 94.
Lets's calculate GCF of 658,5734
| 2 | 658, 5734 |
| 47 | 329, 2867 |
| 7, 61 |
∴ So the GCF of the given numbers is 2 x 47 = 94
Greatest Common Factor of 658,5734 By Matching Biggest Common Factor Method
Now, list down the factors of 658
:1,2,7,14,47,94,329,658
Now, list down the factors of 5734
:1,2,47,61,94,122,2867,5734
Greatest Common Factor
We found the factors 658,5734 . The biggest common factor number is the GCF number.
So the greatest common factor 658,5734 is 94.
Lets's calculate LCM of 480,369
| 3 | 480, 369 |
| 160, 123 |
∴ So the LCM of the given numbers is 3 x 160 x 123 = 59040
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 94/59040
Therefore, the GCF of Fractions 658/480,5734/369 is 94/59040
Least Common Multiple of 480,369 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 480,369 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(480,369) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(480,369) x common factors =3 x 1 = 3
LCM(480,369) = ( 480 × 369 ) / 3
LCM(480,369) = 177120 / 3
LCM(480,369) = 59040
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FAQs on GCF of Fractions of 658/480, 5734/369
1. What is the HCF of 658,5734?
The HCF of 658,5734 is 94
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 658/480, 5734/369?
Answer: GCF of Numerators as per given numbers 658/480, 5734/369 is
GCF of Numerators i.e. for 658,5734 is 94
LCM of denominators i.e. for 480,369 is 59040.
Thus, GCF of Fractions is 94/59040.Finally, GCF of Fractions for 658/480, 5734/369 is 94/59040.