GCF of 9873/225, 3464/5200
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9873/225, 3464/5200 i.e 1/46800 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9873/225, 3464/5200.
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 9873/225,3464/5200?
Given fractions are 9873/225,3464/5200
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 9873/225,3464/5200, numerators are 9873,3464
Denominators are 225,5200
The GCF of 9873,3464 is 1 .
LCM of 225,5200 is 46800.
The greatest common factor of 9873/225,3464/5200 = [GCF of 9873,3464]/[LCM of 225,5200]= 1/46800
Therefore, the GCF of 9873/225,3464/5200 is 1/46800.
To find the highest common factor of 9873,3464, we have to find the factors of both numbers and list the highest common factor.
The factors of 9873 are 1, 3, 9, 1097, 3291, 9873
The factors of 3464 are 1, 2, 4, 8, 433, 866, 1732, 3464
The HCF of 9873,3464 is 1.
Lets's calculate GCF of 9873,3464
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9873,3464 By Matching Biggest Common Factor Method
Now, list down the factors of 9873
:1,3,9,1097,3291,9873
Now, list down the factors of 3464
:1,2,4,8,433,866,1732,3464
Greatest Common Factor
We found the factors 9873,3464 . The biggest common factor number is the GCF number.
So the greatest common factor 9873,3464 is 1.
Lets's calculate LCM of 225,5200
| 5 | 225, 5200 |
| 5 | 45, 1040 |
| 9, 208 |
∴ So the LCM of the given numbers is 5 x 5 x 9 x 208 = 46800
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/46800
Therefore, the GCF of Fractions 9873/225,3464/5200 is 1/46800
Least Common Multiple of 225,5200 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 225,5200 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(225,5200) = 25
common factors(in case of two or more numbers have common factors) = 1
GCF(225,5200) x common factors =25 x 1 = 25
LCM(225,5200) = ( 225 × 5200 ) / 25
LCM(225,5200) = 1170000 / 25
LCM(225,5200) = 46800
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FAQs on GCF of Fractions of 9873/225, 3464/5200
1. What is the HCF of 9873,3464?
The HCF of 9873,3464 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 9873/225, 3464/5200?
Answer: GCF of Numerators as per given numbers 9873/225, 3464/5200 is
GCF of Numerators i.e. for 9873,3464 is 1
LCM of denominators i.e. for 225,5200 is 46800.
Thus, GCF of Fractions is 1/46800.Finally, GCF of Fractions for 9873/225, 3464/5200 is 1/46800.