GCF of 7423/834, 2085/4186
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7423/834, 2085/4186 i.e 1/1745562 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7423/834, 2085/4186.
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 7423/834,2085/4186?
Given fractions are 7423/834,2085/4186
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 7423/834,2085/4186, numerators are 7423,2085
Denominators are 834,4186
The GCF of 7423,2085 is 1 .
LCM of 834,4186 is 1745562.
The greatest common factor of 7423/834,2085/4186 = [GCF of 7423,2085]/[LCM of 834,4186]= 1/1745562
Therefore, the GCF of 7423/834,2085/4186 is 1/1745562.
To find the highest common factor of 7423,2085, we have to find the factors of both numbers and list the highest common factor.
The factors of 7423 are 1, 13, 571, 7423
The factors of 2085 are 1, 3, 5, 15, 139, 417, 695, 2085
The HCF of 7423,2085 is 1.
Lets's calculate GCF of 7423,2085
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7423,2085 By Matching Biggest Common Factor Method
Now, list down the factors of 7423
:1,13,571,7423
Now, list down the factors of 2085
:1,3,5,15,139,417,695,2085
Greatest Common Factor
We found the factors 7423,2085 . The biggest common factor number is the GCF number.
So the greatest common factor 7423,2085 is 1.
Lets's calculate LCM of 834,4186
| 2 | 834, 4186 |
| 417, 2093 |
∴ So the LCM of the given numbers is 2 x 417 x 2093 = 1745562
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1745562
Therefore, the GCF of Fractions 7423/834,2085/4186 is 1/1745562
Least Common Multiple of 834,4186 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 834,4186 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(834,4186) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(834,4186) x common factors =2 x 1 = 2
LCM(834,4186) = ( 834 × 4186 ) / 2
LCM(834,4186) = 3491124 / 2
LCM(834,4186) = 1745562
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FAQs on GCF of Fractions of 7423/834, 2085/4186
1. What is the HCF of 7423,2085?
The HCF of 7423,2085 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 7423/834, 2085/4186?
Answer: GCF of Numerators as per given numbers 7423/834, 2085/4186 is
GCF of Numerators i.e. for 7423,2085 is 1
LCM of denominators i.e. for 834,4186 is 1745562.
Thus, GCF of Fractions is 1/1745562.Finally, GCF of Fractions for 7423/834, 2085/4186 is 1/1745562.