GCF of 5233/992, 7058/8284
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5233/992, 7058/8284 i.e 1/2054432 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5233/992, 7058/8284.
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 5233/992,7058/8284?
Given fractions are 5233/992,7058/8284
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 5233/992,7058/8284, numerators are 5233,7058
Denominators are 992,8284
The GCF of 5233,7058 is 1 .
LCM of 992,8284 is 2054432.
The greatest common factor of 5233/992,7058/8284 = [GCF of 5233,7058]/[LCM of 992,8284]= 1/2054432
Therefore, the GCF of 5233/992,7058/8284 is 1/2054432.
To find the highest common factor of 5233,7058, we have to find the factors of both numbers and list the highest common factor.
The factors of 5233 are 1, 5233
The factors of 7058 are 1, 2, 3529, 7058
The HCF of 5233,7058 is 1.
Lets's calculate GCF of 5233,7058
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5233,7058 By Matching Biggest Common Factor Method
Now, list down the factors of 5233
:1,5233
Now, list down the factors of 7058
:1,2,3529,7058
Greatest Common Factor
We found the factors 5233,7058 . The biggest common factor number is the GCF number.
So the greatest common factor 5233,7058 is 1.
Lets's calculate LCM of 992,8284
| 2 | 992, 8284 |
| 2 | 496, 4142 |
| 248, 2071 |
∴ So the LCM of the given numbers is 2 x 2 x 248 x 2071 = 2054432
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2054432
Therefore, the GCF of Fractions 5233/992,7058/8284 is 1/2054432
Least Common Multiple of 992,8284 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 992,8284 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(992,8284) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(992,8284) x common factors =4 x 1 = 4
LCM(992,8284) = ( 992 × 8284 ) / 4
LCM(992,8284) = 8217728 / 4
LCM(992,8284) = 2054432
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FAQs on GCF of Fractions of 5233/992, 7058/8284
1. What is the HCF of 5233,7058?
The HCF of 5233,7058 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 5233/992, 7058/8284?
Answer: GCF of Numerators as per given numbers 5233/992, 7058/8284 is
GCF of Numerators i.e. for 5233,7058 is 1
LCM of denominators i.e. for 992,8284 is 2054432.
Thus, GCF of Fractions is 1/2054432.Finally, GCF of Fractions for 5233/992, 7058/8284 is 1/2054432.