GCF of 6129/645, 8174/593
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6129/645, 8174/593 i.e 1/382485 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6129/645, 8174/593.
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 6129/645,8174/593?
Given fractions are 6129/645,8174/593
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 6129/645,8174/593, numerators are 6129,8174
Denominators are 645,593
The GCF of 6129,8174 is 1 .
LCM of 645,593 is 382485.
The greatest common factor of 6129/645,8174/593 = [GCF of 6129,8174]/[LCM of 645,593]= 1/382485
Therefore, the GCF of 6129/645,8174/593 is 1/382485.
To find the highest common factor of 6129,8174, we have to find the factors of both numbers and list the highest common factor.
The factors of 6129 are 1, 3, 9, 27, 227, 681, 2043, 6129
The factors of 8174 are 1, 2, 61, 67, 122, 134, 4087, 8174
The HCF of 6129,8174 is 1.
Lets's calculate GCF of 6129,8174
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6129,8174 By Matching Biggest Common Factor Method
Now, list down the factors of 6129
:1,3,9,27,227,681,2043,6129
Now, list down the factors of 8174
:1,2,61,67,122,134,4087,8174
Greatest Common Factor
We found the factors 6129,8174 . The biggest common factor number is the GCF number.
So the greatest common factor 6129,8174 is 1.
Lets's calculate LCM of 645,593
Given numbers has no common factors except 1. So, there LCM is their product i.e 382485
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/382485
Therefore, the GCF of Fractions 6129/645,8174/593 is 1/382485
Least Common Multiple of 645,593 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 645,593 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(645,593) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(645,593) x common factors =1 x 1 = 1
LCM(645,593) = ( 645 × 593 ) / 1
LCM(645,593) = 382485 / 1
LCM(645,593) = 382485
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FAQs on GCF of Fractions of 6129/645, 8174/593
1. What is the HCF of 6129,8174?
The HCF of 6129,8174 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 6129/645, 8174/593?
Answer: GCF of Numerators as per given numbers 6129/645, 8174/593 is
GCF of Numerators i.e. for 6129,8174 is 1
LCM of denominators i.e. for 645,593 is 382485.
Thus, GCF of Fractions is 1/382485.Finally, GCF of Fractions for 6129/645, 8174/593 is 1/382485.