GCF of 9821/561, 6756/739
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9821/561, 6756/739 i.e 1/414579 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9821/561, 6756/739.
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 9821/561,6756/739?
Given fractions are 9821/561,6756/739
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 9821/561,6756/739, numerators are 9821,6756
Denominators are 561,739
The GCF of 9821,6756 is 1 .
LCM of 561,739 is 414579.
The greatest common factor of 9821/561,6756/739 = [GCF of 9821,6756]/[LCM of 561,739]= 1/414579
Therefore, the GCF of 9821/561,6756/739 is 1/414579.
To find the highest common factor of 9821,6756, we have to find the factors of both numbers and list the highest common factor.
The factors of 9821 are 1, 7, 23, 61, 161, 427, 1403, 9821
The factors of 6756 are 1, 2, 3, 4, 6, 12, 563, 1126, 1689, 2252, 3378, 6756
The HCF of 9821,6756 is 1.
Lets's calculate GCF of 9821,6756
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9821,6756 By Matching Biggest Common Factor Method
Now, list down the factors of 9821
:1,7,23,61,161,427,1403,9821
Now, list down the factors of 6756
:1,2,3,4,6,12,563,1126,1689,2252,3378,6756
Greatest Common Factor
We found the factors 9821,6756 . The biggest common factor number is the GCF number.
So the greatest common factor 9821,6756 is 1.
Lets's calculate LCM of 561,739
Given numbers has no common factors except 1. So, there LCM is their product i.e 414579
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/414579
Therefore, the GCF of Fractions 9821/561,6756/739 is 1/414579
Least Common Multiple of 561,739 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 561,739 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(561,739) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(561,739) x common factors =1 x 1 = 1
LCM(561,739) = ( 561 × 739 ) / 1
LCM(561,739) = 414579 / 1
LCM(561,739) = 414579
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FAQs on GCF of Fractions of 9821/561, 6756/739
1. What is the HCF of 9821,6756?
The HCF of 9821,6756 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 9821/561, 6756/739?
Answer: GCF of Numerators as per given numbers 9821/561, 6756/739 is
GCF of Numerators i.e. for 9821,6756 is 1
LCM of denominators i.e. for 561,739 is 414579.
Thus, GCF of Fractions is 1/414579.Finally, GCF of Fractions for 9821/561, 6756/739 is 1/414579.