GCF of 9218/843, 3828/7775
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9218/843, 3828/7775 i.e 22/6554325 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9218/843, 3828/7775.
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 9218/843,3828/7775?
Given fractions are 9218/843,3828/7775
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 9218/843,3828/7775, numerators are 9218,3828
Denominators are 843,7775
The GCF of 9218,3828 is 22 .
LCM of 843,7775 is 6554325.
The greatest common factor of 9218/843,3828/7775 = [GCF of 9218,3828]/[LCM of 843,7775]= 22/6554325
Therefore, the GCF of 9218/843,3828/7775 is 22/6554325.
To find the highest common factor of 9218,3828, we have to find the factors of both numbers and list the highest common factor.
The factors of 9218 are 1, 2, 11, 22, 419, 838, 4609, 9218
The factors of 3828 are 1, 2, 3, 4, 6, 11, 12, 22, 29, 33, 44, 58, 66, 87, 116, 132, 174, 319, 348, 638, 957, 1276, 1914, 3828
The HCF of 9218,3828 is 22.
Lets's calculate GCF of 9218,3828
| 2 | 9218, 3828 |
| 11 | 4609, 1914 |
| 419, 174 |
∴ So the GCF of the given numbers is 2 x 11 = 22
Greatest Common Factor of 9218,3828 By Matching Biggest Common Factor Method
Now, list down the factors of 9218
:1,2,11,22,419,838,4609,9218
Now, list down the factors of 3828
:1,2,3,4,6,11,12,22,29,33,44,58,66,87,116,132,174,319,348,638,957,1276,1914,3828
Greatest Common Factor
We found the factors 9218,3828 . The biggest common factor number is the GCF number.
So the greatest common factor 9218,3828 is 22.
Lets's calculate LCM of 843,7775
Given numbers has no common factors except 1. So, there LCM is their product i.e 6554325
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 22/6554325
Therefore, the GCF of Fractions 9218/843,3828/7775 is 22/6554325
Least Common Multiple of 843,7775 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 843,7775 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(843,7775) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(843,7775) x common factors =1 x 1 = 1
LCM(843,7775) = ( 843 × 7775 ) / 1
LCM(843,7775) = 6554325 / 1
LCM(843,7775) = 6554325
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FAQs on GCF of Fractions of 9218/843, 3828/7775
1. What is the HCF of 9218,3828?
The HCF of 9218,3828 is 22
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 9218/843, 3828/7775?
Answer: GCF of Numerators as per given numbers 9218/843, 3828/7775 is
GCF of Numerators i.e. for 9218,3828 is 22
LCM of denominators i.e. for 843,7775 is 6554325.
Thus, GCF of Fractions is 22/6554325.Finally, GCF of Fractions for 9218/843, 3828/7775 is 22/6554325.