GCF of 9223/299, 8617/4957
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9223/299, 8617/4957 i.e 1/1482143 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9223/299, 8617/4957.
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 9223/299,8617/4957?
Given fractions are 9223/299,8617/4957
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 9223/299,8617/4957, numerators are 9223,8617
Denominators are 299,4957
The GCF of 9223,8617 is 1 .
LCM of 299,4957 is 1482143.
The greatest common factor of 9223/299,8617/4957 = [GCF of 9223,8617]/[LCM of 299,4957]= 1/1482143
Therefore, the GCF of 9223/299,8617/4957 is 1/1482143.
To find the highest common factor of 9223,8617, we have to find the factors of both numbers and list the highest common factor.
The factors of 9223 are 1, 23, 401, 9223
The factors of 8617 are 1, 7, 1231, 8617
The HCF of 9223,8617 is 1.
Lets's calculate GCF of 9223,8617
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9223,8617 By Matching Biggest Common Factor Method
Now, list down the factors of 9223
:1,23,401,9223
Now, list down the factors of 8617
:1,7,1231,8617
Greatest Common Factor
We found the factors 9223,8617 . The biggest common factor number is the GCF number.
So the greatest common factor 9223,8617 is 1.
Lets's calculate LCM of 299,4957
Given numbers has no common factors except 1. So, there LCM is their product i.e 1482143
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1482143
Therefore, the GCF of Fractions 9223/299,8617/4957 is 1/1482143
Least Common Multiple of 299,4957 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 299,4957 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(299,4957) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(299,4957) x common factors =1 x 1 = 1
LCM(299,4957) = ( 299 × 4957 ) / 1
LCM(299,4957) = 1482143 / 1
LCM(299,4957) = 1482143
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FAQs on GCF of Fractions of 9223/299, 8617/4957
1. What is the HCF of 9223,8617?
The HCF of 9223,8617 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 9223/299, 8617/4957?
Answer: GCF of Numerators as per given numbers 9223/299, 8617/4957 is
GCF of Numerators i.e. for 9223,8617 is 1
LCM of denominators i.e. for 299,4957 is 1482143.
Thus, GCF of Fractions is 1/1482143.Finally, GCF of Fractions for 9223/299, 8617/4957 is 1/1482143.