GCF of 9286/450, 8199/1520
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9286/450, 8199/1520 i.e 1/68400 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9286/450, 8199/1520.
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 9286/450,8199/1520?
Given fractions are 9286/450,8199/1520
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 9286/450,8199/1520, numerators are 9286,8199
Denominators are 450,1520
The GCF of 9286,8199 is 1 .
LCM of 450,1520 is 68400.
The greatest common factor of 9286/450,8199/1520 = [GCF of 9286,8199]/[LCM of 450,1520]= 1/68400
Therefore, the GCF of 9286/450,8199/1520 is 1/68400.
To find the highest common factor of 9286,8199, we have to find the factors of both numbers and list the highest common factor.
The factors of 9286 are 1, 2, 4643, 9286
The factors of 8199 are 1, 3, 9, 911, 2733, 8199
The HCF of 9286,8199 is 1.
Lets's calculate GCF of 9286,8199
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9286,8199 By Matching Biggest Common Factor Method
Now, list down the factors of 9286
:1,2,4643,9286
Now, list down the factors of 8199
:1,3,9,911,2733,8199
Greatest Common Factor
We found the factors 9286,8199 . The biggest common factor number is the GCF number.
So the greatest common factor 9286,8199 is 1.
Lets's calculate LCM of 450,1520
| 2 | 450, 1520 |
| 5 | 225, 760 |
| 45, 152 |
∴ So the LCM of the given numbers is 2 x 5 x 45 x 152 = 68400
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/68400
Therefore, the GCF of Fractions 9286/450,8199/1520 is 1/68400
Least Common Multiple of 450,1520 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 450,1520 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(450,1520) = 10
common factors(in case of two or more numbers have common factors) = 1
GCF(450,1520) x common factors =10 x 1 = 10
LCM(450,1520) = ( 450 × 1520 ) / 10
LCM(450,1520) = 684000 / 10
LCM(450,1520) = 68400
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FAQs on GCF of Fractions of 9286/450, 8199/1520
1. What is the HCF of 9286,8199?
The HCF of 9286,8199 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 9286/450, 8199/1520?
Answer: GCF of Numerators as per given numbers 9286/450, 8199/1520 is
GCF of Numerators i.e. for 9286,8199 is 1
LCM of denominators i.e. for 450,1520 is 68400.
Thus, GCF of Fractions is 1/68400.Finally, GCF of Fractions for 9286/450, 8199/1520 is 1/68400.