GCF of 9928/995, 3233/450
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9928/995, 3233/450 i.e 1/89550 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9928/995, 3233/450.
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 9928/995,3233/450?
Given fractions are 9928/995,3233/450
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 9928/995,3233/450, numerators are 9928,3233
Denominators are 995,450
The GCF of 9928,3233 is 1 .
LCM of 995,450 is 89550.
The greatest common factor of 9928/995,3233/450 = [GCF of 9928,3233]/[LCM of 995,450]= 1/89550
Therefore, the GCF of 9928/995,3233/450 is 1/89550.
To find the highest common factor of 9928,3233, we have to find the factors of both numbers and list the highest common factor.
The factors of 9928 are 1, 2, 4, 8, 17, 34, 68, 73, 136, 146, 292, 584, 1241, 2482, 4964, 9928
The factors of 3233 are 1, 53, 61, 3233
The HCF of 9928,3233 is 1.
Lets's calculate GCF of 9928,3233
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9928,3233 By Matching Biggest Common Factor Method
Now, list down the factors of 9928
:1,2,4,8,17,34,68,73,136,146,292,584,1241,2482,4964,9928
Now, list down the factors of 3233
:1,53,61,3233
Greatest Common Factor
We found the factors 9928,3233 . The biggest common factor number is the GCF number.
So the greatest common factor 9928,3233 is 1.
Lets's calculate LCM of 995,450
| 5 | 995, 450 |
| 199, 90 |
∴ So the LCM of the given numbers is 5 x 199 x 90 = 89550
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/89550
Therefore, the GCF of Fractions 9928/995,3233/450 is 1/89550
Least Common Multiple of 995,450 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 995,450 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(995,450) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(995,450) x common factors =5 x 1 = 5
LCM(995,450) = ( 995 × 450 ) / 5
LCM(995,450) = 447750 / 5
LCM(995,450) = 89550
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FAQs on GCF of Fractions of 9928/995, 3233/450
1. What is the HCF of 9928,3233?
The HCF of 9928,3233 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 9928/995, 3233/450?
Answer: GCF of Numerators as per given numbers 9928/995, 3233/450 is
GCF of Numerators i.e. for 9928,3233 is 1
LCM of denominators i.e. for 995,450 is 89550.
Thus, GCF of Fractions is 1/89550.Finally, GCF of Fractions for 9928/995, 3233/450 is 1/89550.