GCF of 8451/565, 7547/5321
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8451/565, 7547/5321 i.e 1/3006365 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8451/565, 7547/5321.
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 8451/565,7547/5321?
Given fractions are 8451/565,7547/5321
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 8451/565,7547/5321, numerators are 8451,7547
Denominators are 565,5321
The GCF of 8451,7547 is 1 .
LCM of 565,5321 is 3006365.
The greatest common factor of 8451/565,7547/5321 = [GCF of 8451,7547]/[LCM of 565,5321]= 1/3006365
Therefore, the GCF of 8451/565,7547/5321 is 1/3006365.
To find the highest common factor of 8451,7547, we have to find the factors of both numbers and list the highest common factor.
The factors of 8451 are 1, 3, 9, 27, 313, 939, 2817, 8451
The factors of 7547 are 1, 7547
The HCF of 8451,7547 is 1.
Lets's calculate GCF of 8451,7547
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8451,7547 By Matching Biggest Common Factor Method
Now, list down the factors of 8451
:1,3,9,27,313,939,2817,8451
Now, list down the factors of 7547
:1,7547
Greatest Common Factor
We found the factors 8451,7547 . The biggest common factor number is the GCF number.
So the greatest common factor 8451,7547 is 1.
Lets's calculate LCM of 565,5321
Given numbers has no common factors except 1. So, there LCM is their product i.e 3006365
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3006365
Therefore, the GCF of Fractions 8451/565,7547/5321 is 1/3006365
Least Common Multiple of 565,5321 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 565,5321 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(565,5321) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(565,5321) x common factors =1 x 1 = 1
LCM(565,5321) = ( 565 × 5321 ) / 1
LCM(565,5321) = 3006365 / 1
LCM(565,5321) = 3006365
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FAQs on GCF of Fractions of 8451/565, 7547/5321
1. What is the HCF of 8451,7547?
The HCF of 8451,7547 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 8451/565, 7547/5321?
Answer: GCF of Numerators as per given numbers 8451/565, 7547/5321 is
GCF of Numerators i.e. for 8451,7547 is 1
LCM of denominators i.e. for 565,5321 is 3006365.
Thus, GCF of Fractions is 1/3006365.Finally, GCF of Fractions for 8451/565, 7547/5321 is 1/3006365.