GCF of 9569/971, 9663/2400
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9569/971, 9663/2400 i.e 1/2330400 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9569/971, 9663/2400.
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 9569/971,9663/2400?
Given fractions are 9569/971,9663/2400
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 9569/971,9663/2400, numerators are 9569,9663
Denominators are 971,2400
The GCF of 9569,9663 is 1 .
LCM of 971,2400 is 2330400.
The greatest common factor of 9569/971,9663/2400 = [GCF of 9569,9663]/[LCM of 971,2400]= 1/2330400
Therefore, the GCF of 9569/971,9663/2400 is 1/2330400.
To find the highest common factor of 9569,9663, we have to find the factors of both numbers and list the highest common factor.
The factors of 9569 are 1, 7, 1367, 9569
The factors of 9663 are 1, 3, 3221, 9663
The HCF of 9569,9663 is 1.
Lets's calculate GCF of 9569,9663
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9569,9663 By Matching Biggest Common Factor Method
Now, list down the factors of 9569
:1,7,1367,9569
Now, list down the factors of 9663
:1,3,3221,9663
Greatest Common Factor
We found the factors 9569,9663 . The biggest common factor number is the GCF number.
So the greatest common factor 9569,9663 is 1.
Lets's calculate LCM of 971,2400
Given numbers has no common factors except 1. So, there LCM is their product i.e 2330400
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2330400
Therefore, the GCF of Fractions 9569/971,9663/2400 is 1/2330400
Least Common Multiple of 971,2400 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 971,2400 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(971,2400) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(971,2400) x common factors =1 x 1 = 1
LCM(971,2400) = ( 971 × 2400 ) / 1
LCM(971,2400) = 2330400 / 1
LCM(971,2400) = 2330400
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FAQs on GCF of Fractions of 9569/971, 9663/2400
1. What is the HCF of 9569,9663?
The HCF of 9569,9663 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 9569/971, 9663/2400?
Answer: GCF of Numerators as per given numbers 9569/971, 9663/2400 is
GCF of Numerators i.e. for 9569,9663 is 1
LCM of denominators i.e. for 971,2400 is 2330400.
Thus, GCF of Fractions is 1/2330400.Finally, GCF of Fractions for 9569/971, 9663/2400 is 1/2330400.