GCF of 9410/364, 2349/918
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9410/364, 2349/918 i.e 1/167076 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9410/364, 2349/918.
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 9410/364,2349/918?
Given fractions are 9410/364,2349/918
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 9410/364,2349/918, numerators are 9410,2349
Denominators are 364,918
The GCF of 9410,2349 is 1 .
LCM of 364,918 is 167076.
The greatest common factor of 9410/364,2349/918 = [GCF of 9410,2349]/[LCM of 364,918]= 1/167076
Therefore, the GCF of 9410/364,2349/918 is 1/167076.
To find the highest common factor of 9410,2349, we have to find the factors of both numbers and list the highest common factor.
The factors of 9410 are 1, 2, 5, 10, 941, 1882, 4705, 9410
The factors of 2349 are 1, 3, 9, 27, 29, 81, 87, 261, 783, 2349
The HCF of 9410,2349 is 1.
Lets's calculate GCF of 9410,2349
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9410,2349 By Matching Biggest Common Factor Method
Now, list down the factors of 9410
:1,2,5,10,941,1882,4705,9410
Now, list down the factors of 2349
:1,3,9,27,29,81,87,261,783,2349
Greatest Common Factor
We found the factors 9410,2349 . The biggest common factor number is the GCF number.
So the greatest common factor 9410,2349 is 1.
Lets's calculate LCM of 364,918
| 2 | 364, 918 |
| 182, 459 |
∴ So the LCM of the given numbers is 2 x 182 x 459 = 167076
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/167076
Therefore, the GCF of Fractions 9410/364,2349/918 is 1/167076
Least Common Multiple of 364,918 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 364,918 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(364,918) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(364,918) x common factors =2 x 1 = 2
LCM(364,918) = ( 364 × 918 ) / 2
LCM(364,918) = 334152 / 2
LCM(364,918) = 167076
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FAQs on GCF of Fractions of 9410/364, 2349/918
1. What is the HCF of 9410,2349?
The HCF of 9410,2349 is 1
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 9410/364, 2349/918?
Answer: GCF of Numerators as per given numbers 9410/364, 2349/918 is
GCF of Numerators i.e. for 9410,2349 is 1
LCM of denominators i.e. for 364,918 is 167076.
Thus, GCF of Fractions is 1/167076.Finally, GCF of Fractions for 9410/364, 2349/918 is 1/167076.