GCF of 8155/225, 9294/638
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8155/225, 9294/638 i.e 1/143550 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8155/225, 9294/638.
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 8155/225,9294/638?
Given fractions are 8155/225,9294/638
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 8155/225,9294/638, numerators are 8155,9294
Denominators are 225,638
The GCF of 8155,9294 is 1 .
LCM of 225,638 is 143550.
The greatest common factor of 8155/225,9294/638 = [GCF of 8155,9294]/[LCM of 225,638]= 1/143550
Therefore, the GCF of 8155/225,9294/638 is 1/143550.
To find the highest common factor of 8155,9294, we have to find the factors of both numbers and list the highest common factor.
The factors of 8155 are 1, 5, 7, 35, 233, 1165, 1631, 8155
The factors of 9294 are 1, 2, 3, 6, 1549, 3098, 4647, 9294
The HCF of 8155,9294 is 1.
Lets's calculate GCF of 8155,9294
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8155,9294 By Matching Biggest Common Factor Method
Now, list down the factors of 8155
:1,5,7,35,233,1165,1631,8155
Now, list down the factors of 9294
:1,2,3,6,1549,3098,4647,9294
Greatest Common Factor
We found the factors 8155,9294 . The biggest common factor number is the GCF number.
So the greatest common factor 8155,9294 is 1.
Lets's calculate LCM of 225,638
Given numbers has no common factors except 1. So, there LCM is their product i.e 143550
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/143550
Therefore, the GCF of Fractions 8155/225,9294/638 is 1/143550
Least Common Multiple of 225,638 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 225,638 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(225,638) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(225,638) x common factors =1 x 1 = 1
LCM(225,638) = ( 225 × 638 ) / 1
LCM(225,638) = 143550 / 1
LCM(225,638) = 143550
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FAQs on GCF of Fractions of 8155/225, 9294/638
1. What is the HCF of 8155,9294?
The HCF of 8155,9294 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 8155/225, 9294/638?
Answer: GCF of Numerators as per given numbers 8155/225, 9294/638 is
GCF of Numerators i.e. for 8155,9294 is 1
LCM of denominators i.e. for 225,638 is 143550.
Thus, GCF of Fractions is 1/143550.Finally, GCF of Fractions for 8155/225, 9294/638 is 1/143550.