GCF of 4173/359, 7826/4026
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4173/359, 7826/4026 i.e 13/1445334 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4173/359, 7826/4026.
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 4173/359,7826/4026?
Given fractions are 4173/359,7826/4026
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 4173/359,7826/4026, numerators are 4173,7826
Denominators are 359,4026
The GCF of 4173,7826 is 13 .
LCM of 359,4026 is 1445334.
The greatest common factor of 4173/359,7826/4026 = [GCF of 4173,7826]/[LCM of 359,4026]= 13/1445334
Therefore, the GCF of 4173/359,7826/4026 is 13/1445334.
To find the highest common factor of 4173,7826, we have to find the factors of both numbers and list the highest common factor.
The factors of 4173 are 1, 3, 13, 39, 107, 321, 1391, 4173
The factors of 7826 are 1, 2, 7, 13, 14, 26, 43, 86, 91, 182, 301, 559, 602, 1118, 3913, 7826
The HCF of 4173,7826 is 13.
Lets's calculate GCF of 4173,7826
| 13 | 4173, 7826 |
| 321, 602 |
∴ So the GCF of the given numbers is 13 = 13
Greatest Common Factor of 4173,7826 By Matching Biggest Common Factor Method
Now, list down the factors of 4173
:1,3,13,39,107,321,1391,4173
Now, list down the factors of 7826
:1,2,7,13,14,26,43,86,91,182,301,559,602,1118,3913,7826
Greatest Common Factor
We found the factors 4173,7826 . The biggest common factor number is the GCF number.
So the greatest common factor 4173,7826 is 13.
Lets's calculate LCM of 359,4026
Given numbers has no common factors except 1. So, there LCM is their product i.e 1445334
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/1445334
Therefore, the GCF of Fractions 4173/359,7826/4026 is 13/1445334
Least Common Multiple of 359,4026 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 359,4026 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(359,4026) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(359,4026) x common factors =1 x 1 = 1
LCM(359,4026) = ( 359 × 4026 ) / 1
LCM(359,4026) = 1445334 / 1
LCM(359,4026) = 1445334
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FAQs on GCF of Fractions of 4173/359, 7826/4026
1. What is the HCF of 4173,7826?
The HCF of 4173,7826 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 4173/359, 7826/4026?
Answer: GCF of Numerators as per given numbers 4173/359, 7826/4026 is
GCF of Numerators i.e. for 4173,7826 is 13
LCM of denominators i.e. for 359,4026 is 1445334.
Thus, GCF of Fractions is 13/1445334.Finally, GCF of Fractions for 4173/359, 7826/4026 is 13/1445334.