GCF of 6011/829, 1014/2598
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6011/829, 1014/2598 i.e 1/2153742 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6011/829, 1014/2598.
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 6011/829,1014/2598?
Given fractions are 6011/829,1014/2598
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 6011/829,1014/2598, numerators are 6011,1014
Denominators are 829,2598
The GCF of 6011,1014 is 1 .
LCM of 829,2598 is 2153742.
The greatest common factor of 6011/829,1014/2598 = [GCF of 6011,1014]/[LCM of 829,2598]= 1/2153742
Therefore, the GCF of 6011/829,1014/2598 is 1/2153742.
To find the highest common factor of 6011,1014, we have to find the factors of both numbers and list the highest common factor.
The factors of 6011 are 1, 6011
The factors of 1014 are 1, 2, 3, 6, 13, 26, 39, 78, 169, 338, 507, 1014
The HCF of 6011,1014 is 1.
Lets's calculate GCF of 6011,1014
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6011,1014 By Matching Biggest Common Factor Method
Now, list down the factors of 6011
:1,6011
Now, list down the factors of 1014
:1,2,3,6,13,26,39,78,169,338,507,1014
Greatest Common Factor
We found the factors 6011,1014 . The biggest common factor number is the GCF number.
So the greatest common factor 6011,1014 is 1.
Lets's calculate LCM of 829,2598
Given numbers has no common factors except 1. So, there LCM is their product i.e 2153742
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2153742
Therefore, the GCF of Fractions 6011/829,1014/2598 is 1/2153742
Least Common Multiple of 829,2598 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 829,2598 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(829,2598) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(829,2598) x common factors =1 x 1 = 1
LCM(829,2598) = ( 829 × 2598 ) / 1
LCM(829,2598) = 2153742 / 1
LCM(829,2598) = 2153742
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FAQs on GCF of Fractions of 6011/829, 1014/2598
1. What is the HCF of 6011,1014?
The HCF of 6011,1014 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 6011/829, 1014/2598?
Answer: GCF of Numerators as per given numbers 6011/829, 1014/2598 is
GCF of Numerators i.e. for 6011,1014 is 1
LCM of denominators i.e. for 829,2598 is 2153742.
Thus, GCF of Fractions is 1/2153742.Finally, GCF of Fractions for 6011/829, 1014/2598 is 1/2153742.