GCF of 6028/129, 7405/3674
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6028/129, 7405/3674 i.e 1/473946 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6028/129, 7405/3674.
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 6028/129,7405/3674?
Given fractions are 6028/129,7405/3674
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 6028/129,7405/3674, numerators are 6028,7405
Denominators are 129,3674
The GCF of 6028,7405 is 1 .
LCM of 129,3674 is 473946.
The greatest common factor of 6028/129,7405/3674 = [GCF of 6028,7405]/[LCM of 129,3674]= 1/473946
Therefore, the GCF of 6028/129,7405/3674 is 1/473946.
To find the highest common factor of 6028,7405, we have to find the factors of both numbers and list the highest common factor.
The factors of 6028 are 1, 2, 4, 11, 22, 44, 137, 274, 548, 1507, 3014, 6028
The factors of 7405 are 1, 5, 1481, 7405
The HCF of 6028,7405 is 1.
Lets's calculate GCF of 6028,7405
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6028,7405 By Matching Biggest Common Factor Method
Now, list down the factors of 6028
:1,2,4,11,22,44,137,274,548,1507,3014,6028
Now, list down the factors of 7405
:1,5,1481,7405
Greatest Common Factor
We found the factors 6028,7405 . The biggest common factor number is the GCF number.
So the greatest common factor 6028,7405 is 1.
Lets's calculate LCM of 129,3674
Given numbers has no common factors except 1. So, there LCM is their product i.e 473946
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/473946
Therefore, the GCF of Fractions 6028/129,7405/3674 is 1/473946
Least Common Multiple of 129,3674 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 129,3674 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(129,3674) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(129,3674) x common factors =1 x 1 = 1
LCM(129,3674) = ( 129 × 3674 ) / 1
LCM(129,3674) = 473946 / 1
LCM(129,3674) = 473946
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FAQs on GCF of Fractions of 6028/129, 7405/3674
1. What is the HCF of 6028,7405?
The HCF of 6028,7405 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 6028/129, 7405/3674?
Answer: GCF of Numerators as per given numbers 6028/129, 7405/3674 is
GCF of Numerators i.e. for 6028,7405 is 1
LCM of denominators i.e. for 129,3674 is 473946.
Thus, GCF of Fractions is 1/473946.Finally, GCF of Fractions for 6028/129, 7405/3674 is 1/473946.