GCF of 5328/307, 8734/9857
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5328/307, 8734/9857 i.e 2/3026099 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5328/307, 8734/9857.
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 5328/307,8734/9857?
Given fractions are 5328/307,8734/9857
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 5328/307,8734/9857, numerators are 5328,8734
Denominators are 307,9857
The GCF of 5328,8734 is 2 .
LCM of 307,9857 is 3026099.
The greatest common factor of 5328/307,8734/9857 = [GCF of 5328,8734]/[LCM of 307,9857]= 2/3026099
Therefore, the GCF of 5328/307,8734/9857 is 2/3026099.
To find the highest common factor of 5328,8734, 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 8734 are 1, 2, 11, 22, 397, 794, 4367, 8734
The HCF of 5328,8734 is 2.
Lets's calculate GCF of 5328,8734
| 2 | 5328, 8734 |
| 2664, 4367 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 5328,8734 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 8734
:1,2,11,22,397,794,4367,8734
Greatest Common Factor
We found the factors 5328,8734 . The biggest common factor number is the GCF number.
So the greatest common factor 5328,8734 is 2.
Lets's calculate LCM of 307,9857
Given numbers has no common factors except 1. So, there LCM is their product i.e 3026099
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3026099
Therefore, the GCF of Fractions 5328/307,8734/9857 is 2/3026099
Least Common Multiple of 307,9857 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 307,9857 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(307,9857) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(307,9857) x common factors =1 x 1 = 1
LCM(307,9857) = ( 307 × 9857 ) / 1
LCM(307,9857) = 3026099 / 1
LCM(307,9857) = 3026099
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FAQs on GCF of Fractions of 5328/307, 8734/9857
1. What is the HCF of 5328,8734?
The HCF of 5328,8734 is 2
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 5328/307, 8734/9857?
Answer: GCF of Numerators as per given numbers 5328/307, 8734/9857 is
GCF of Numerators i.e. for 5328,8734 is 2
LCM of denominators i.e. for 307,9857 is 3026099.
Thus, GCF of Fractions is 2/3026099.Finally, GCF of Fractions for 5328/307, 8734/9857 is 2/3026099.