GCF of 5984/15, 9403/240
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5984/15, 9403/240 i.e 1/240 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5984/15, 9403/240.
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 5984/15,9403/240?
Given fractions are 5984/15,9403/240
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 5984/15,9403/240, numerators are 5984,9403
Denominators are 15,240
The GCF of 5984,9403 is 1 .
LCM of 15,240 is 240.
The greatest common factor of 5984/15,9403/240 = [GCF of 5984,9403]/[LCM of 15,240]= 1/240
Therefore, the GCF of 5984/15,9403/240 is 1/240.
To find the highest common factor of 5984,9403, we have to find the factors of both numbers and list the highest common factor.
The factors of 5984 are 1, 2, 4, 8, 11, 16, 17, 22, 32, 34, 44, 68, 88, 136, 176, 187, 272, 352, 374, 544, 748, 1496, 2992, 5984
The factors of 9403 are 1, 9403
The HCF of 5984,9403 is 1.
Lets's calculate GCF of 5984,9403
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5984,9403 By Matching Biggest Common Factor Method
Now, list down the factors of 5984
:1,2,4,8,11,16,17,22,32,34,44,68,88,136,176,187,272,352,374,544,748,1496,2992,5984
Now, list down the factors of 9403
:1,9403
Greatest Common Factor
We found the factors 5984,9403 . The biggest common factor number is the GCF number.
So the greatest common factor 5984,9403 is 1.
Lets's calculate LCM of 15,240
| 3 | 15, 240 |
| 5 | 5, 80 |
| 1, 16 |
∴ So the LCM of the given numbers is 3 x 5 x 1 x 16 = 240
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/240
Therefore, the GCF of Fractions 5984/15,9403/240 is 1/240
Least Common Multiple of 15,240 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 15,240 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(15,240) = 15
common factors(in case of two or more numbers have common factors) = 1
GCF(15,240) x common factors =15 x 1 = 15
LCM(15,240) = ( 15 × 240 ) / 15
LCM(15,240) = 3600 / 15
LCM(15,240) = 240
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FAQs on GCF of Fractions of 5984/15, 9403/240
1. What is the HCF of 5984,9403?
The HCF of 5984,9403 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 5984/15, 9403/240?
Answer: GCF of Numerators as per given numbers 5984/15, 9403/240 is
GCF of Numerators i.e. for 5984,9403 is 1
LCM of denominators i.e. for 15,240 is 240.
Thus, GCF of Fractions is 1/240.Finally, GCF of Fractions for 5984/15, 9403/240 is 1/240.