GCF of 6446/864, 9723/295
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6446/864, 9723/295 i.e 1/254880 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6446/864, 9723/295.
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 6446/864,9723/295?
Given fractions are 6446/864,9723/295
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 6446/864,9723/295, numerators are 6446,9723
Denominators are 864,295
The GCF of 6446,9723 is 1 .
LCM of 864,295 is 254880.
The greatest common factor of 6446/864,9723/295 = [GCF of 6446,9723]/[LCM of 864,295]= 1/254880
Therefore, the GCF of 6446/864,9723/295 is 1/254880.
To find the highest common factor of 6446,9723, we have to find the factors of both numbers and list the highest common factor.
The factors of 6446 are 1, 2, 11, 22, 293, 586, 3223, 6446
The factors of 9723 are 1, 3, 7, 21, 463, 1389, 3241, 9723
The HCF of 6446,9723 is 1.
Lets's calculate GCF of 6446,9723
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6446,9723 By Matching Biggest Common Factor Method
Now, list down the factors of 6446
:1,2,11,22,293,586,3223,6446
Now, list down the factors of 9723
:1,3,7,21,463,1389,3241,9723
Greatest Common Factor
We found the factors 6446,9723 . The biggest common factor number is the GCF number.
So the greatest common factor 6446,9723 is 1.
Lets's calculate LCM of 864,295
Given numbers has no common factors except 1. So, there LCM is their product i.e 254880
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/254880
Therefore, the GCF of Fractions 6446/864,9723/295 is 1/254880
Least Common Multiple of 864,295 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 864,295 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(864,295) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(864,295) x common factors =1 x 1 = 1
LCM(864,295) = ( 864 × 295 ) / 1
LCM(864,295) = 254880 / 1
LCM(864,295) = 254880
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FAQs on GCF of Fractions of 6446/864, 9723/295
1. What is the HCF of 6446,9723?
The HCF of 6446,9723 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 6446/864, 9723/295?
Answer: GCF of Numerators as per given numbers 6446/864, 9723/295 is
GCF of Numerators i.e. for 6446,9723 is 1
LCM of denominators i.e. for 864,295 is 254880.
Thus, GCF of Fractions is 1/254880.Finally, GCF of Fractions for 6446/864, 9723/295 is 1/254880.