GCF of 6304/860, 5721/7929
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6304/860, 5721/7929 i.e 1/6818940 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6304/860, 5721/7929.
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 6304/860,5721/7929?
Given fractions are 6304/860,5721/7929
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 6304/860,5721/7929, numerators are 6304,5721
Denominators are 860,7929
The GCF of 6304,5721 is 1 .
LCM of 860,7929 is 6818940.
The greatest common factor of 6304/860,5721/7929 = [GCF of 6304,5721]/[LCM of 860,7929]= 1/6818940
Therefore, the GCF of 6304/860,5721/7929 is 1/6818940.
To find the highest common factor of 6304,5721, we have to find the factors of both numbers and list the highest common factor.
The factors of 6304 are 1, 2, 4, 8, 16, 32, 197, 394, 788, 1576, 3152, 6304
The factors of 5721 are 1, 3, 1907, 5721
The HCF of 6304,5721 is 1.
Lets's calculate GCF of 6304,5721
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6304,5721 By Matching Biggest Common Factor Method
Now, list down the factors of 6304
:1,2,4,8,16,32,197,394,788,1576,3152,6304
Now, list down the factors of 5721
:1,3,1907,5721
Greatest Common Factor
We found the factors 6304,5721 . The biggest common factor number is the GCF number.
So the greatest common factor 6304,5721 is 1.
Lets's calculate LCM of 860,7929
Given numbers has no common factors except 1. So, there LCM is their product i.e 6818940
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6818940
Therefore, the GCF of Fractions 6304/860,5721/7929 is 1/6818940
Least Common Multiple of 860,7929 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 860,7929 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(860,7929) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(860,7929) x common factors =1 x 1 = 1
LCM(860,7929) = ( 860 × 7929 ) / 1
LCM(860,7929) = 6818940 / 1
LCM(860,7929) = 6818940
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 6304/860, 5721/7929
1. What is the HCF of 6304,5721?
The HCF of 6304,5721 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 6304/860, 5721/7929?
Answer: GCF of Numerators as per given numbers 6304/860, 5721/7929 is
GCF of Numerators i.e. for 6304,5721 is 1
LCM of denominators i.e. for 860,7929 is 6818940.
Thus, GCF of Fractions is 1/6818940.Finally, GCF of Fractions for 6304/860, 5721/7929 is 1/6818940.