GCF of 8248/562, 9252/8891
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8248/562, 9252/8891 i.e 4/4996742 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8248/562, 9252/8891.
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 8248/562,9252/8891?
Given fractions are 8248/562,9252/8891
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 8248/562,9252/8891, numerators are 8248,9252
Denominators are 562,8891
The GCF of 8248,9252 is 4 .
LCM of 562,8891 is 4996742.
The greatest common factor of 8248/562,9252/8891 = [GCF of 8248,9252]/[LCM of 562,8891]= 4/4996742
Therefore, the GCF of 8248/562,9252/8891 is 4/4996742.
To find the highest common factor of 8248,9252, we have to find the factors of both numbers and list the highest common factor.
The factors of 8248 are 1, 2, 4, 8, 1031, 2062, 4124, 8248
The factors of 9252 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 257, 514, 771, 1028, 1542, 2313, 3084, 4626, 9252
The HCF of 8248,9252 is 4.
Lets's calculate GCF of 8248,9252
| 2 | 8248, 9252 |
| 2 | 4124, 4626 |
| 2062, 2313 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 8248,9252 By Matching Biggest Common Factor Method
Now, list down the factors of 8248
:1,2,4,8,1031,2062,4124,8248
Now, list down the factors of 9252
:1,2,3,4,6,9,12,18,36,257,514,771,1028,1542,2313,3084,4626,9252
Greatest Common Factor
We found the factors 8248,9252 . The biggest common factor number is the GCF number.
So the greatest common factor 8248,9252 is 4.
Lets's calculate LCM of 562,8891
Given numbers has no common factors except 1. So, there LCM is their product i.e 4996742
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/4996742
Therefore, the GCF of Fractions 8248/562,9252/8891 is 4/4996742
Least Common Multiple of 562,8891 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 562,8891 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(562,8891) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(562,8891) x common factors =1 x 1 = 1
LCM(562,8891) = ( 562 × 8891 ) / 1
LCM(562,8891) = 4996742 / 1
LCM(562,8891) = 4996742
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FAQs on GCF of Fractions of 8248/562, 9252/8891
1. What is the HCF of 8248,9252?
The HCF of 8248,9252 is 4
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 8248/562, 9252/8891?
Answer: GCF of Numerators as per given numbers 8248/562, 9252/8891 is
GCF of Numerators i.e. for 8248,9252 is 4
LCM of denominators i.e. for 562,8891 is 4996742.
Thus, GCF of Fractions is 4/4996742.Finally, GCF of Fractions for 8248/562, 9252/8891 is 4/4996742.