GCF of 9257/345, 9969/829
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9257/345, 9969/829 i.e 1/286005 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9257/345, 9969/829.
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 9257/345,9969/829?
Given fractions are 9257/345,9969/829
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 9257/345,9969/829, numerators are 9257,9969
Denominators are 345,829
The GCF of 9257,9969 is 1 .
LCM of 345,829 is 286005.
The greatest common factor of 9257/345,9969/829 = [GCF of 9257,9969]/[LCM of 345,829]= 1/286005
Therefore, the GCF of 9257/345,9969/829 is 1/286005.
To find the highest common factor of 9257,9969, we have to find the factors of both numbers and list the highest common factor.
The factors of 9257 are 1, 9257
The factors of 9969 are 1, 3, 3323, 9969
The HCF of 9257,9969 is 1.
Lets's calculate GCF of 9257,9969
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9257,9969 By Matching Biggest Common Factor Method
Now, list down the factors of 9257
:1,9257
Now, list down the factors of 9969
:1,3,3323,9969
Greatest Common Factor
We found the factors 9257,9969 . The biggest common factor number is the GCF number.
So the greatest common factor 9257,9969 is 1.
Lets's calculate LCM of 345,829
Given numbers has no common factors except 1. So, there LCM is their product i.e 286005
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/286005
Therefore, the GCF of Fractions 9257/345,9969/829 is 1/286005
Least Common Multiple of 345,829 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 345,829 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(345,829) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(345,829) x common factors =1 x 1 = 1
LCM(345,829) = ( 345 × 829 ) / 1
LCM(345,829) = 286005 / 1
LCM(345,829) = 286005
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FAQs on GCF of Fractions of 9257/345, 9969/829
1. What is the HCF of 9257,9969?
The HCF of 9257,9969 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 9257/345, 9969/829?
Answer: GCF of Numerators as per given numbers 9257/345, 9969/829 is
GCF of Numerators i.e. for 9257,9969 is 1
LCM of denominators i.e. for 345,829 is 286005.
Thus, GCF of Fractions is 1/286005.Finally, GCF of Fractions for 9257/345, 9969/829 is 1/286005.