GCF of 8551/431, 9152/5605
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8551/431, 9152/5605 i.e 1/2415755 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8551/431, 9152/5605.
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 8551/431,9152/5605?
Given fractions are 8551/431,9152/5605
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 8551/431,9152/5605, numerators are 8551,9152
Denominators are 431,5605
The GCF of 8551,9152 is 1 .
LCM of 431,5605 is 2415755.
The greatest common factor of 8551/431,9152/5605 = [GCF of 8551,9152]/[LCM of 431,5605]= 1/2415755
Therefore, the GCF of 8551/431,9152/5605 is 1/2415755.
To find the highest common factor of 8551,9152, 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 9152 are 1, 2, 4, 8, 11, 13, 16, 22, 26, 32, 44, 52, 64, 88, 104, 143, 176, 208, 286, 352, 416, 572, 704, 832, 1144, 2288, 4576, 9152
The HCF of 8551,9152 is 1.
Lets's calculate GCF of 8551,9152
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8551,9152 By Matching Biggest Common Factor Method
Now, list down the factors of 8551
:1,17,503,8551
Now, list down the factors of 9152
:1,2,4,8,11,13,16,22,26,32,44,52,64,88,104,143,176,208,286,352,416,572,704,832,1144,2288,4576,9152
Greatest Common Factor
We found the factors 8551,9152 . The biggest common factor number is the GCF number.
So the greatest common factor 8551,9152 is 1.
Lets's calculate LCM of 431,5605
Given numbers has no common factors except 1. So, there LCM is their product i.e 2415755
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2415755
Therefore, the GCF of Fractions 8551/431,9152/5605 is 1/2415755
Least Common Multiple of 431,5605 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 431,5605 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(431,5605) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(431,5605) x common factors =1 x 1 = 1
LCM(431,5605) = ( 431 × 5605 ) / 1
LCM(431,5605) = 2415755 / 1
LCM(431,5605) = 2415755
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FAQs on GCF of Fractions of 8551/431, 9152/5605
1. What is the HCF of 8551,9152?
The HCF of 8551,9152 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 8551/431, 9152/5605?
Answer: GCF of Numerators as per given numbers 8551/431, 9152/5605 is
GCF of Numerators i.e. for 8551,9152 is 1
LCM of denominators i.e. for 431,5605 is 2415755.
Thus, GCF of Fractions is 1/2415755.Finally, GCF of Fractions for 8551/431, 9152/5605 is 1/2415755.