GCF of 4403/104, 9610/7954
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4403/104, 9610/7954 i.e 1/413608 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4403/104, 9610/7954.
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 4403/104,9610/7954?
Given fractions are 4403/104,9610/7954
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 4403/104,9610/7954, numerators are 4403,9610
Denominators are 104,7954
The GCF of 4403,9610 is 1 .
LCM of 104,7954 is 413608.
The greatest common factor of 4403/104,9610/7954 = [GCF of 4403,9610]/[LCM of 104,7954]= 1/413608
Therefore, the GCF of 4403/104,9610/7954 is 1/413608.
To find the highest common factor of 4403,9610, we have to find the factors of both numbers and list the highest common factor.
The factors of 4403 are 1, 7, 17, 37, 119, 259, 629, 4403
The factors of 9610 are 1, 2, 5, 10, 31, 62, 155, 310, 961, 1922, 4805, 9610
The HCF of 4403,9610 is 1.
Lets's calculate GCF of 4403,9610
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4403,9610 By Matching Biggest Common Factor Method
Now, list down the factors of 4403
:1,7,17,37,119,259,629,4403
Now, list down the factors of 9610
:1,2,5,10,31,62,155,310,961,1922,4805,9610
Greatest Common Factor
We found the factors 4403,9610 . The biggest common factor number is the GCF number.
So the greatest common factor 4403,9610 is 1.
Lets's calculate LCM of 104,7954
| 2 | 104, 7954 |
| 52, 3977 |
∴ So the LCM of the given numbers is 2 x 52 x 3977 = 413608
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/413608
Therefore, the GCF of Fractions 4403/104,9610/7954 is 1/413608
Least Common Multiple of 104,7954 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 104,7954 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(104,7954) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(104,7954) x common factors =2 x 1 = 2
LCM(104,7954) = ( 104 × 7954 ) / 2
LCM(104,7954) = 827216 / 2
LCM(104,7954) = 413608
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FAQs on GCF of Fractions of 4403/104, 9610/7954
1. What is the HCF of 4403,9610?
The HCF of 4403,9610 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 4403/104, 9610/7954?
Answer: GCF of Numerators as per given numbers 4403/104, 9610/7954 is
GCF of Numerators i.e. for 4403,9610 is 1
LCM of denominators i.e. for 104,7954 is 413608.
Thus, GCF of Fractions is 1/413608.Finally, GCF of Fractions for 4403/104, 9610/7954 is 1/413608.