GCF of 7844/358, 4186/169
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7844/358, 4186/169 i.e 2/60502 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7844/358, 4186/169.
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 7844/358,4186/169?
Given fractions are 7844/358,4186/169
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 7844/358,4186/169, numerators are 7844,4186
Denominators are 358,169
The GCF of 7844,4186 is 2 .
LCM of 358,169 is 60502.
The greatest common factor of 7844/358,4186/169 = [GCF of 7844,4186]/[LCM of 358,169]= 2/60502
Therefore, the GCF of 7844/358,4186/169 is 2/60502.
To find the highest common factor of 7844,4186, we have to find the factors of both numbers and list the highest common factor.
The factors of 7844 are 1, 2, 4, 37, 53, 74, 106, 148, 212, 1961, 3922, 7844
The factors of 4186 are 1, 2, 7, 13, 14, 23, 26, 46, 91, 161, 182, 299, 322, 598, 2093, 4186
The HCF of 7844,4186 is 2.
Lets's calculate GCF of 7844,4186
| 2 | 7844, 4186 |
| 3922, 2093 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 7844,4186 By Matching Biggest Common Factor Method
Now, list down the factors of 7844
:1,2,4,37,53,74,106,148,212,1961,3922,7844
Now, list down the factors of 4186
:1,2,7,13,14,23,26,46,91,161,182,299,322,598,2093,4186
Greatest Common Factor
We found the factors 7844,4186 . The biggest common factor number is the GCF number.
So the greatest common factor 7844,4186 is 2.
Lets's calculate LCM of 358,169
Given numbers has no common factors except 1. So, there LCM is their product i.e 60502
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/60502
Therefore, the GCF of Fractions 7844/358,4186/169 is 2/60502
Least Common Multiple of 358,169 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 358,169 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(358,169) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(358,169) x common factors =1 x 1 = 1
LCM(358,169) = ( 358 × 169 ) / 1
LCM(358,169) = 60502 / 1
LCM(358,169) = 60502
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FAQs on GCF of Fractions of 7844/358, 4186/169
1. What is the HCF of 7844,4186?
The HCF of 7844,4186 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 7844/358, 4186/169?
Answer: GCF of Numerators as per given numbers 7844/358, 4186/169 is
GCF of Numerators i.e. for 7844,4186 is 2
LCM of denominators i.e. for 358,169 is 60502.
Thus, GCF of Fractions is 2/60502.Finally, GCF of Fractions for 7844/358, 4186/169 is 2/60502.