GCF of 8591/232, 9922/6142
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8591/232, 9922/6142 i.e 121/712472 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8591/232, 9922/6142.
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 8591/232,9922/6142?
Given fractions are 8591/232,9922/6142
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 8591/232,9922/6142, numerators are 8591,9922
Denominators are 232,6142
The GCF of 8591,9922 is 121 .
LCM of 232,6142 is 712472.
The greatest common factor of 8591/232,9922/6142 = [GCF of 8591,9922]/[LCM of 232,6142]= 121/712472
Therefore, the GCF of 8591/232,9922/6142 is 121/712472.
To find the highest common factor of 8591,9922, we have to find the factors of both numbers and list the highest common factor.
The factors of 8591 are 1, 11, 71, 121, 781, 8591
The factors of 9922 are 1, 2, 11, 22, 41, 82, 121, 242, 451, 902, 4961, 9922
The HCF of 8591,9922 is 121.
Lets's calculate GCF of 8591,9922
| 11 | 8591, 9922 |
| 11 | 781, 902 |
| 71, 82 |
∴ So the GCF of the given numbers is 11 x 11 = 121
Greatest Common Factor of 8591,9922 By Matching Biggest Common Factor Method
Now, list down the factors of 8591
:1,11,71,121,781,8591
Now, list down the factors of 9922
:1,2,11,22,41,82,121,242,451,902,4961,9922
Greatest Common Factor
We found the factors 8591,9922 . The biggest common factor number is the GCF number.
So the greatest common factor 8591,9922 is 121.
Lets's calculate LCM of 232,6142
| 2 | 232, 6142 |
| 116, 3071 |
∴ So the LCM of the given numbers is 2 x 116 x 3071 = 712472
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 121/712472
Therefore, the GCF of Fractions 8591/232,9922/6142 is 121/712472
Least Common Multiple of 232,6142 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 232,6142 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(232,6142) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(232,6142) x common factors =2 x 1 = 2
LCM(232,6142) = ( 232 × 6142 ) / 2
LCM(232,6142) = 1424944 / 2
LCM(232,6142) = 712472
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FAQs on GCF of Fractions of 8591/232, 9922/6142
1. What is the HCF of 8591,9922?
The HCF of 8591,9922 is 121
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 8591/232, 9922/6142?
Answer: GCF of Numerators as per given numbers 8591/232, 9922/6142 is
GCF of Numerators i.e. for 8591,9922 is 121
LCM of denominators i.e. for 232,6142 is 712472.
Thus, GCF of Fractions is 121/712472.Finally, GCF of Fractions for 8591/232, 9922/6142 is 121/712472.