GCF of 9544/362, 5258/918
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9544/362, 5258/918 i.e 2/166158 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9544/362, 5258/918.
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 9544/362,5258/918?
Given fractions are 9544/362,5258/918
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 9544/362,5258/918, numerators are 9544,5258
Denominators are 362,918
The GCF of 9544,5258 is 2 .
LCM of 362,918 is 166158.
The greatest common factor of 9544/362,5258/918 = [GCF of 9544,5258]/[LCM of 362,918]= 2/166158
Therefore, the GCF of 9544/362,5258/918 is 2/166158.
To find the highest common factor of 9544,5258, we have to find the factors of both numbers and list the highest common factor.
The factors of 9544 are 1, 2, 4, 8, 1193, 2386, 4772, 9544
The factors of 5258 are 1, 2, 11, 22, 239, 478, 2629, 5258
The HCF of 9544,5258 is 2.
Lets's calculate GCF of 9544,5258
| 2 | 9544, 5258 |
| 4772, 2629 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 9544,5258 By Matching Biggest Common Factor Method
Now, list down the factors of 9544
:1,2,4,8,1193,2386,4772,9544
Now, list down the factors of 5258
:1,2,11,22,239,478,2629,5258
Greatest Common Factor
We found the factors 9544,5258 . The biggest common factor number is the GCF number.
So the greatest common factor 9544,5258 is 2.
Lets's calculate LCM of 362,918
| 2 | 362, 918 |
| 181, 459 |
∴ So the LCM of the given numbers is 2 x 181 x 459 = 166158
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/166158
Therefore, the GCF of Fractions 9544/362,5258/918 is 2/166158
Least Common Multiple of 362,918 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 362,918 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(362,918) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(362,918) x common factors =2 x 1 = 2
LCM(362,918) = ( 362 × 918 ) / 2
LCM(362,918) = 332316 / 2
LCM(362,918) = 166158
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FAQs on GCF of Fractions of 9544/362, 5258/918
1. What is the HCF of 9544,5258?
The HCF of 9544,5258 is 2
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 9544/362, 5258/918?
Answer: GCF of Numerators as per given numbers 9544/362, 5258/918 is
GCF of Numerators i.e. for 9544,5258 is 2
LCM of denominators i.e. for 362,918 is 166158.
Thus, GCF of Fractions is 2/166158.Finally, GCF of Fractions for 9544/362, 5258/918 is 2/166158.