GCF of 8059/776, 1584/8561
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8059/776, 1584/8561 i.e 1/6643336 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8059/776, 1584/8561.
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 8059/776,1584/8561?
Given fractions are 8059/776,1584/8561
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 8059/776,1584/8561, numerators are 8059,1584
Denominators are 776,8561
The GCF of 8059,1584 is 1 .
LCM of 776,8561 is 6643336.
The greatest common factor of 8059/776,1584/8561 = [GCF of 8059,1584]/[LCM of 776,8561]= 1/6643336
Therefore, the GCF of 8059/776,1584/8561 is 1/6643336.
To find the highest common factor of 8059,1584, we have to find the factors of both numbers and list the highest common factor.
The factors of 8059 are 1, 8059
The factors of 1584 are 1, 2, 3, 4, 6, 8, 9, 11, 12, 16, 18, 22, 24, 33, 36, 44, 48, 66, 72, 88, 99, 132, 144, 176, 198, 264, 396, 528, 792, 1584
The HCF of 8059,1584 is 1.
Lets's calculate GCF of 8059,1584
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8059,1584 By Matching Biggest Common Factor Method
Now, list down the factors of 8059
:1,8059
Now, list down the factors of 1584
:1,2,3,4,6,8,9,11,12,16,18,22,24,33,36,44,48,66,72,88,99,132,144,176,198,264,396,528,792,1584
Greatest Common Factor
We found the factors 8059,1584 . The biggest common factor number is the GCF number.
So the greatest common factor 8059,1584 is 1.
Lets's calculate LCM of 776,8561
Given numbers has no common factors except 1. So, there LCM is their product i.e 6643336
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6643336
Therefore, the GCF of Fractions 8059/776,1584/8561 is 1/6643336
Least Common Multiple of 776,8561 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 776,8561 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(776,8561) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(776,8561) x common factors =1 x 1 = 1
LCM(776,8561) = ( 776 × 8561 ) / 1
LCM(776,8561) = 6643336 / 1
LCM(776,8561) = 6643336
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FAQs on GCF of Fractions of 8059/776, 1584/8561
1. What is the HCF of 8059,1584?
The HCF of 8059,1584 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 8059/776, 1584/8561?
Answer: GCF of Numerators as per given numbers 8059/776, 1584/8561 is
GCF of Numerators i.e. for 8059,1584 is 1
LCM of denominators i.e. for 776,8561 is 6643336.
Thus, GCF of Fractions is 1/6643336.Finally, GCF of Fractions for 8059/776, 1584/8561 is 1/6643336.