GCF of 9647/629, 2414/1635
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9647/629, 2414/1635 i.e 1/1028415 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9647/629, 2414/1635.
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 9647/629,2414/1635?
Given fractions are 9647/629,2414/1635
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 9647/629,2414/1635, numerators are 9647,2414
Denominators are 629,1635
The GCF of 9647,2414 is 1 .
LCM of 629,1635 is 1028415.
The greatest common factor of 9647/629,2414/1635 = [GCF of 9647,2414]/[LCM of 629,1635]= 1/1028415
Therefore, the GCF of 9647/629,2414/1635 is 1/1028415.
To find the highest common factor of 9647,2414, we have to find the factors of both numbers and list the highest common factor.
The factors of 9647 are 1, 11, 877, 9647
The factors of 2414 are 1, 2, 17, 34, 71, 142, 1207, 2414
The HCF of 9647,2414 is 1.
Lets's calculate GCF of 9647,2414
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9647,2414 By Matching Biggest Common Factor Method
Now, list down the factors of 9647
:1,11,877,9647
Now, list down the factors of 2414
:1,2,17,34,71,142,1207,2414
Greatest Common Factor
We found the factors 9647,2414 . The biggest common factor number is the GCF number.
So the greatest common factor 9647,2414 is 1.
Lets's calculate LCM of 629,1635
Given numbers has no common factors except 1. So, there LCM is their product i.e 1028415
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1028415
Therefore, the GCF of Fractions 9647/629,2414/1635 is 1/1028415
Least Common Multiple of 629,1635 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 629,1635 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(629,1635) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(629,1635) x common factors =1 x 1 = 1
LCM(629,1635) = ( 629 × 1635 ) / 1
LCM(629,1635) = 1028415 / 1
LCM(629,1635) = 1028415
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FAQs on GCF of Fractions of 9647/629, 2414/1635
1. What is the HCF of 9647,2414?
The HCF of 9647,2414 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 9647/629, 2414/1635?
Answer: GCF of Numerators as per given numbers 9647/629, 2414/1635 is
GCF of Numerators i.e. for 9647,2414 is 1
LCM of denominators i.e. for 629,1635 is 1028415.
Thus, GCF of Fractions is 1/1028415.Finally, GCF of Fractions for 9647/629, 2414/1635 is 1/1028415.