GCF of 4129/419, 1685/2686
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4129/419, 1685/2686 i.e 1/1125434 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4129/419, 1685/2686.
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 4129/419,1685/2686?
Given fractions are 4129/419,1685/2686
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 4129/419,1685/2686, numerators are 4129,1685
Denominators are 419,2686
The GCF of 4129,1685 is 1 .
LCM of 419,2686 is 1125434.
The greatest common factor of 4129/419,1685/2686 = [GCF of 4129,1685]/[LCM of 419,2686]= 1/1125434
Therefore, the GCF of 4129/419,1685/2686 is 1/1125434.
To find the highest common factor of 4129,1685, we have to find the factors of both numbers and list the highest common factor.
The factors of 4129 are 1, 4129
The factors of 1685 are 1, 5, 337, 1685
The HCF of 4129,1685 is 1.
Lets's calculate GCF of 4129,1685
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4129,1685 By Matching Biggest Common Factor Method
Now, list down the factors of 4129
:1,4129
Now, list down the factors of 1685
:1,5,337,1685
Greatest Common Factor
We found the factors 4129,1685 . The biggest common factor number is the GCF number.
So the greatest common factor 4129,1685 is 1.
Lets's calculate LCM of 419,2686
Given numbers has no common factors except 1. So, there LCM is their product i.e 1125434
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1125434
Therefore, the GCF of Fractions 4129/419,1685/2686 is 1/1125434
Least Common Multiple of 419,2686 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 419,2686 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(419,2686) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(419,2686) x common factors =1 x 1 = 1
LCM(419,2686) = ( 419 × 2686 ) / 1
LCM(419,2686) = 1125434 / 1
LCM(419,2686) = 1125434
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FAQs on GCF of Fractions of 4129/419, 1685/2686
1. What is the HCF of 4129,1685?
The HCF of 4129,1685 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 4129/419, 1685/2686?
Answer: GCF of Numerators as per given numbers 4129/419, 1685/2686 is
GCF of Numerators i.e. for 4129,1685 is 1
LCM of denominators i.e. for 419,2686 is 1125434.
Thus, GCF of Fractions is 1/1125434.Finally, GCF of Fractions for 4129/419, 1685/2686 is 1/1125434.