GCF of 9646/665, 9449/4507
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9646/665, 9449/4507 i.e 1/2997155 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9646/665, 9449/4507.
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 9646/665,9449/4507?
Given fractions are 9646/665,9449/4507
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 9646/665,9449/4507, numerators are 9646,9449
Denominators are 665,4507
The GCF of 9646,9449 is 1 .
LCM of 665,4507 is 2997155.
The greatest common factor of 9646/665,9449/4507 = [GCF of 9646,9449]/[LCM of 665,4507]= 1/2997155
Therefore, the GCF of 9646/665,9449/4507 is 1/2997155.
To find the highest common factor of 9646,9449, we have to find the factors of both numbers and list the highest common factor.
The factors of 9646 are 1, 2, 7, 13, 14, 26, 53, 91, 106, 182, 371, 689, 742, 1378, 4823, 9646
The factors of 9449 are 1, 11, 859, 9449
The HCF of 9646,9449 is 1.
Lets's calculate GCF of 9646,9449
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9646,9449 By Matching Biggest Common Factor Method
Now, list down the factors of 9646
:1,2,7,13,14,26,53,91,106,182,371,689,742,1378,4823,9646
Now, list down the factors of 9449
:1,11,859,9449
Greatest Common Factor
We found the factors 9646,9449 . The biggest common factor number is the GCF number.
So the greatest common factor 9646,9449 is 1.
Lets's calculate LCM of 665,4507
Given numbers has no common factors except 1. So, there LCM is their product i.e 2997155
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2997155
Therefore, the GCF of Fractions 9646/665,9449/4507 is 1/2997155
Least Common Multiple of 665,4507 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 665,4507 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(665,4507) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(665,4507) x common factors =1 x 1 = 1
LCM(665,4507) = ( 665 × 4507 ) / 1
LCM(665,4507) = 2997155 / 1
LCM(665,4507) = 2997155
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 9646/665, 9449/4507
1. What is the HCF of 9646,9449?
The HCF of 9646,9449 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 9646/665, 9449/4507?
Answer: GCF of Numerators as per given numbers 9646/665, 9449/4507 is
GCF of Numerators i.e. for 9646,9449 is 1
LCM of denominators i.e. for 665,4507 is 2997155.
Thus, GCF of Fractions is 1/2997155.Finally, GCF of Fractions for 9646/665, 9449/4507 is 1/2997155.