GCF of 448/655, 5328/587
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 448/655, 5328/587 i.e 16/384485 easily. The following is the detailed procedure to determine the greatest common factor of fractions 448/655, 5328/587.
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 448/655,5328/587?
Given fractions are 448/655,5328/587
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 448/655,5328/587, numerators are 448,5328
Denominators are 655,587
The GCF of 448,5328 is 16 .
LCM of 655,587 is 384485.
The greatest common factor of 448/655,5328/587 = [GCF of 448,5328]/[LCM of 655,587]= 16/384485
Therefore, the GCF of 448/655,5328/587 is 16/384485.
To find the highest common factor of 448,5328, we have to find the factors of both numbers and list the highest common factor.
The factors of 448 are 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448
The factors of 5328 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 37, 48, 72, 74, 111, 144, 148, 222, 296, 333, 444, 592, 666, 888, 1332, 1776, 2664, 5328
The HCF of 448,5328 is 16.
Lets's calculate GCF of 448,5328
| 2 | 448, 5328 |
| 2 | 224, 2664 |
| 2 | 112, 1332 |
| 2 | 56, 666 |
| 28, 333 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16
Greatest Common Factor of 448,5328 By Matching Biggest Common Factor Method
Now, list down the factors of 448
:1,2,4,7,8,14,16,28,32,56,64,112,224,448
Now, list down the factors of 5328
:1,2,3,4,6,8,9,12,16,18,24,36,37,48,72,74,111,144,148,222,296,333,444,592,666,888,1332,1776,2664,5328
Greatest Common Factor
We found the factors 448,5328 . The biggest common factor number is the GCF number.
So the greatest common factor 448,5328 is 16.
Lets's calculate LCM of 655,587
Given numbers has no common factors except 1. So, there LCM is their product i.e 384485
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 16/384485
Therefore, the GCF of Fractions 448/655,5328/587 is 16/384485
Least Common Multiple of 655,587 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 655,587 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(655,587) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(655,587) x common factors =1 x 1 = 1
LCM(655,587) = ( 655 × 587 ) / 1
LCM(655,587) = 384485 / 1
LCM(655,587) = 384485
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FAQs on GCF of Fractions of 448/655, 5328/587
1. What is the HCF of 448,5328?
The HCF of 448,5328 is 16
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 448/655, 5328/587?
Answer: GCF of Numerators as per given numbers 448/655, 5328/587 is
GCF of Numerators i.e. for 448,5328 is 16
LCM of denominators i.e. for 655,587 is 384485.
Thus, GCF of Fractions is 16/384485.Finally, GCF of Fractions for 448/655, 5328/587 is 16/384485.