GCF of 4404/650, 8551/728
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4404/650, 8551/728 i.e 1/18200 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4404/650, 8551/728.
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 4404/650,8551/728?
Given fractions are 4404/650,8551/728
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 4404/650,8551/728, numerators are 4404,8551
Denominators are 650,728
The GCF of 4404,8551 is 1 .
LCM of 650,728 is 18200.
The greatest common factor of 4404/650,8551/728 = [GCF of 4404,8551]/[LCM of 650,728]= 1/18200
Therefore, the GCF of 4404/650,8551/728 is 1/18200.
To find the highest common factor of 4404,8551, we have to find the factors of both numbers and list the highest common factor.
The factors of 4404 are 1, 2, 3, 4, 6, 12, 367, 734, 1101, 1468, 2202, 4404
The factors of 8551 are 1, 17, 503, 8551
The HCF of 4404,8551 is 1.
Lets's calculate GCF of 4404,8551
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4404,8551 By Matching Biggest Common Factor Method
Now, list down the factors of 4404
:1,2,3,4,6,12,367,734,1101,1468,2202,4404
Now, list down the factors of 8551
:1,17,503,8551
Greatest Common Factor
We found the factors 4404,8551 . The biggest common factor number is the GCF number.
So the greatest common factor 4404,8551 is 1.
Lets's calculate LCM of 650,728
| 2 | 650, 728 |
| 13 | 325, 364 |
| 25, 28 |
∴ So the LCM of the given numbers is 2 x 13 x 25 x 28 = 18200
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/18200
Therefore, the GCF of Fractions 4404/650,8551/728 is 1/18200
Least Common Multiple of 650,728 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 650,728 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(650,728) = 26
common factors(in case of two or more numbers have common factors) = 1
GCF(650,728) x common factors =26 x 1 = 26
LCM(650,728) = ( 650 × 728 ) / 26
LCM(650,728) = 473200 / 26
LCM(650,728) = 18200
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FAQs on GCF of Fractions of 4404/650, 8551/728
1. What is the HCF of 4404,8551?
The HCF of 4404,8551 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 4404/650, 8551/728?
Answer: GCF of Numerators as per given numbers 4404/650, 8551/728 is
GCF of Numerators i.e. for 4404,8551 is 1
LCM of denominators i.e. for 650,728 is 18200.
Thus, GCF of Fractions is 1/18200.Finally, GCF of Fractions for 4404/650, 8551/728 is 1/18200.