GCF of 5328/865, 1551/669
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5328/865, 1551/669 i.e 3/578685 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5328/865, 1551/669.
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 5328/865,1551/669?
Given fractions are 5328/865,1551/669
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 5328/865,1551/669, numerators are 5328,1551
Denominators are 865,669
The GCF of 5328,1551 is 3 .
LCM of 865,669 is 578685.
The greatest common factor of 5328/865,1551/669 = [GCF of 5328,1551]/[LCM of 865,669]= 3/578685
Therefore, the GCF of 5328/865,1551/669 is 3/578685.
To find the highest common factor of 5328,1551, we have to find the factors of both numbers and list the highest common factor.
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 factors of 1551 are 1, 3, 11, 33, 47, 141, 517, 1551
The HCF of 5328,1551 is 3.
Lets's calculate GCF of 5328,1551
| 3 | 5328, 1551 |
| 1776, 517 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 5328,1551 By Matching Biggest Common Factor Method
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
Now, list down the factors of 1551
:1,3,11,33,47,141,517,1551
Greatest Common Factor
We found the factors 5328,1551 . The biggest common factor number is the GCF number.
So the greatest common factor 5328,1551 is 3.
Lets's calculate LCM of 865,669
Given numbers has no common factors except 1. So, there LCM is their product i.e 578685
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/578685
Therefore, the GCF of Fractions 5328/865,1551/669 is 3/578685
Least Common Multiple of 865,669 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 865,669 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(865,669) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(865,669) x common factors =1 x 1 = 1
LCM(865,669) = ( 865 × 669 ) / 1
LCM(865,669) = 578685 / 1
LCM(865,669) = 578685
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 5328/865, 1551/669
1. What is the HCF of 5328,1551?
The HCF of 5328,1551 is 3
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 5328/865, 1551/669?
Answer: GCF of Numerators as per given numbers 5328/865, 1551/669 is
GCF of Numerators i.e. for 5328,1551 is 3
LCM of denominators i.e. for 865,669 is 578685.
Thus, GCF of Fractions is 3/578685.Finally, GCF of Fractions for 5328/865, 1551/669 is 3/578685.