GCF of 8967/115, 7229/917
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8967/115, 7229/917 i.e 1/105455 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8967/115, 7229/917.
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 8967/115,7229/917?
Given fractions are 8967/115,7229/917
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 8967/115,7229/917, numerators are 8967,7229
Denominators are 115,917
The GCF of 8967,7229 is 1 .
LCM of 115,917 is 105455.
The greatest common factor of 8967/115,7229/917 = [GCF of 8967,7229]/[LCM of 115,917]= 1/105455
Therefore, the GCF of 8967/115,7229/917 is 1/105455.
To find the highest common factor of 8967,7229, we have to find the factors of both numbers and list the highest common factor.
The factors of 8967 are 1, 3, 7, 21, 49, 61, 147, 183, 427, 1281, 2989, 8967
The factors of 7229 are 1, 7229
The HCF of 8967,7229 is 1.
Lets's calculate GCF of 8967,7229
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8967,7229 By Matching Biggest Common Factor Method
Now, list down the factors of 8967
:1,3,7,21,49,61,147,183,427,1281,2989,8967
Now, list down the factors of 7229
:1,7229
Greatest Common Factor
We found the factors 8967,7229 . The biggest common factor number is the GCF number.
So the greatest common factor 8967,7229 is 1.
Lets's calculate LCM of 115,917
Given numbers has no common factors except 1. So, there LCM is their product i.e 105455
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/105455
Therefore, the GCF of Fractions 8967/115,7229/917 is 1/105455
Least Common Multiple of 115,917 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 115,917 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(115,917) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(115,917) x common factors =1 x 1 = 1
LCM(115,917) = ( 115 × 917 ) / 1
LCM(115,917) = 105455 / 1
LCM(115,917) = 105455
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FAQs on GCF of Fractions of 8967/115, 7229/917
1. What is the HCF of 8967,7229?
The HCF of 8967,7229 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 8967/115, 7229/917?
Answer: GCF of Numerators as per given numbers 8967/115, 7229/917 is
GCF of Numerators i.e. for 8967,7229 is 1
LCM of denominators i.e. for 115,917 is 105455.
Thus, GCF of Fractions is 1/105455.Finally, GCF of Fractions for 8967/115, 7229/917 is 1/105455.