GCF of 9958/388, 7267/2205
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9958/388, 7267/2205 i.e 13/855540 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9958/388, 7267/2205.
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 9958/388,7267/2205?
Given fractions are 9958/388,7267/2205
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 9958/388,7267/2205, numerators are 9958,7267
Denominators are 388,2205
The GCF of 9958,7267 is 13 .
LCM of 388,2205 is 855540.
The greatest common factor of 9958/388,7267/2205 = [GCF of 9958,7267]/[LCM of 388,2205]= 13/855540
Therefore, the GCF of 9958/388,7267/2205 is 13/855540.
To find the highest common factor of 9958,7267, we have to find the factors of both numbers and list the highest common factor.
The factors of 9958 are 1, 2, 13, 26, 383, 766, 4979, 9958
The factors of 7267 are 1, 13, 43, 169, 559, 7267
The HCF of 9958,7267 is 13.
Lets's calculate GCF of 9958,7267
| 13 | 9958, 7267 |
| 766, 559 |
∴ So the GCF of the given numbers is 13 = 13
Greatest Common Factor of 9958,7267 By Matching Biggest Common Factor Method
Now, list down the factors of 9958
:1,2,13,26,383,766,4979,9958
Now, list down the factors of 7267
:1,13,43,169,559,7267
Greatest Common Factor
We found the factors 9958,7267 . The biggest common factor number is the GCF number.
So the greatest common factor 9958,7267 is 13.
Lets's calculate LCM of 388,2205
Given numbers has no common factors except 1. So, there LCM is their product i.e 855540
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/855540
Therefore, the GCF of Fractions 9958/388,7267/2205 is 13/855540
Least Common Multiple of 388,2205 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 388,2205 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(388,2205) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(388,2205) x common factors =1 x 1 = 1
LCM(388,2205) = ( 388 × 2205 ) / 1
LCM(388,2205) = 855540 / 1
LCM(388,2205) = 855540
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FAQs on GCF of Fractions of 9958/388, 7267/2205
1. What is the HCF of 9958,7267?
The HCF of 9958,7267 is 13
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 9958/388, 7267/2205?
Answer: GCF of Numerators as per given numbers 9958/388, 7267/2205 is
GCF of Numerators i.e. for 9958,7267 is 13
LCM of denominators i.e. for 388,2205 is 855540.
Thus, GCF of Fractions is 13/855540.Finally, GCF of Fractions for 9958/388, 7267/2205 is 13/855540.