GCF of 8551/605, 6327/752
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8551/605, 6327/752 i.e 1/454960 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8551/605, 6327/752.
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 8551/605,6327/752?
Given fractions are 8551/605,6327/752
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 8551/605,6327/752, numerators are 8551,6327
Denominators are 605,752
The GCF of 8551,6327 is 1 .
LCM of 605,752 is 454960.
The greatest common factor of 8551/605,6327/752 = [GCF of 8551,6327]/[LCM of 605,752]= 1/454960
Therefore, the GCF of 8551/605,6327/752 is 1/454960.
To find the highest common factor of 8551,6327, we have to find the factors of both numbers and list the highest common factor.
The factors of 8551 are 1, 17, 503, 8551
The factors of 6327 are 1, 3, 9, 19, 37, 57, 111, 171, 333, 703, 2109, 6327
The HCF of 8551,6327 is 1.
Lets's calculate GCF of 8551,6327
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8551,6327 By Matching Biggest Common Factor Method
Now, list down the factors of 8551
:1,17,503,8551
Now, list down the factors of 6327
:1,3,9,19,37,57,111,171,333,703,2109,6327
Greatest Common Factor
We found the factors 8551,6327 . The biggest common factor number is the GCF number.
So the greatest common factor 8551,6327 is 1.
Lets's calculate LCM of 605,752
Given numbers has no common factors except 1. So, there LCM is their product i.e 454960
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/454960
Therefore, the GCF of Fractions 8551/605,6327/752 is 1/454960
Least Common Multiple of 605,752 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 605,752 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(605,752) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(605,752) x common factors =1 x 1 = 1
LCM(605,752) = ( 605 × 752 ) / 1
LCM(605,752) = 454960 / 1
LCM(605,752) = 454960
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FAQs on GCF of Fractions of 8551/605, 6327/752
1. What is the HCF of 8551,6327?
The HCF of 8551,6327 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 8551/605, 6327/752?
Answer: GCF of Numerators as per given numbers 8551/605, 6327/752 is
GCF of Numerators i.e. for 8551,6327 is 1
LCM of denominators i.e. for 605,752 is 454960.
Thus, GCF of Fractions is 1/454960.Finally, GCF of Fractions for 8551/605, 6327/752 is 1/454960.