GCF of 9644/753, 5614/2201
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9644/753, 5614/2201 i.e 2/1657353 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9644/753, 5614/2201.
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 9644/753,5614/2201?
Given fractions are 9644/753,5614/2201
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 9644/753,5614/2201, numerators are 9644,5614
Denominators are 753,2201
The GCF of 9644,5614 is 2 .
LCM of 753,2201 is 1657353.
The greatest common factor of 9644/753,5614/2201 = [GCF of 9644,5614]/[LCM of 753,2201]= 2/1657353
Therefore, the GCF of 9644/753,5614/2201 is 2/1657353.
To find the highest common factor of 9644,5614, we have to find the factors of both numbers and list the highest common factor.
The factors of 9644 are 1, 2, 4, 2411, 4822, 9644
The factors of 5614 are 1, 2, 7, 14, 401, 802, 2807, 5614
The HCF of 9644,5614 is 2.
Lets's calculate GCF of 9644,5614
| 2 | 9644, 5614 |
| 4822, 2807 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 9644,5614 By Matching Biggest Common Factor Method
Now, list down the factors of 9644
:1,2,4,2411,4822,9644
Now, list down the factors of 5614
:1,2,7,14,401,802,2807,5614
Greatest Common Factor
We found the factors 9644,5614 . The biggest common factor number is the GCF number.
So the greatest common factor 9644,5614 is 2.
Lets's calculate LCM of 753,2201
Given numbers has no common factors except 1. So, there LCM is their product i.e 1657353
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1657353
Therefore, the GCF of Fractions 9644/753,5614/2201 is 2/1657353
Least Common Multiple of 753,2201 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 753,2201 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(753,2201) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(753,2201) x common factors =1 x 1 = 1
LCM(753,2201) = ( 753 × 2201 ) / 1
LCM(753,2201) = 1657353 / 1
LCM(753,2201) = 1657353
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FAQs on GCF of Fractions of 9644/753, 5614/2201
1. What is the HCF of 9644,5614?
The HCF of 9644,5614 is 2
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 9644/753, 5614/2201?
Answer: GCF of Numerators as per given numbers 9644/753, 5614/2201 is
GCF of Numerators i.e. for 9644,5614 is 2
LCM of denominators i.e. for 753,2201 is 1657353.
Thus, GCF of Fractions is 2/1657353.Finally, GCF of Fractions for 9644/753, 5614/2201 is 2/1657353.