GCF of 4058/384, 4190/7567
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4058/384, 4190/7567 i.e 2/2905728 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4058/384, 4190/7567.
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 4058/384,4190/7567?
Given fractions are 4058/384,4190/7567
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 4058/384,4190/7567, numerators are 4058,4190
Denominators are 384,7567
The GCF of 4058,4190 is 2 .
LCM of 384,7567 is 2905728.
The greatest common factor of 4058/384,4190/7567 = [GCF of 4058,4190]/[LCM of 384,7567]= 2/2905728
Therefore, the GCF of 4058/384,4190/7567 is 2/2905728.
To find the highest common factor of 4058,4190, we have to find the factors of both numbers and list the highest common factor.
The factors of 4058 are 1, 2, 2029, 4058
The factors of 4190 are 1, 2, 5, 10, 419, 838, 2095, 4190
The HCF of 4058,4190 is 2.
Lets's calculate GCF of 4058,4190
| 2 | 4058, 4190 |
| 2029, 2095 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 4058,4190 By Matching Biggest Common Factor Method
Now, list down the factors of 4058
:1,2,2029,4058
Now, list down the factors of 4190
:1,2,5,10,419,838,2095,4190
Greatest Common Factor
We found the factors 4058,4190 . The biggest common factor number is the GCF number.
So the greatest common factor 4058,4190 is 2.
Lets's calculate LCM of 384,7567
Given numbers has no common factors except 1. So, there LCM is their product i.e 2905728
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2905728
Therefore, the GCF of Fractions 4058/384,4190/7567 is 2/2905728
Least Common Multiple of 384,7567 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 384,7567 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(384,7567) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(384,7567) x common factors =1 x 1 = 1
LCM(384,7567) = ( 384 × 7567 ) / 1
LCM(384,7567) = 2905728 / 1
LCM(384,7567) = 2905728
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FAQs on GCF of Fractions of 4058/384, 4190/7567
1. What is the HCF of 4058,4190?
The HCF of 4058,4190 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 4058/384, 4190/7567?
Answer: GCF of Numerators as per given numbers 4058/384, 4190/7567 is
GCF of Numerators i.e. for 4058,4190 is 2
LCM of denominators i.e. for 384,7567 is 2905728.
Thus, GCF of Fractions is 2/2905728.Finally, GCF of Fractions for 4058/384, 4190/7567 is 2/2905728.