GCF of 6078/623, 2624/2919
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6078/623, 2624/2919 i.e 2/259791 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6078/623, 2624/2919.
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 6078/623,2624/2919?
Given fractions are 6078/623,2624/2919
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 6078/623,2624/2919, numerators are 6078,2624
Denominators are 623,2919
The GCF of 6078,2624 is 2 .
LCM of 623,2919 is 259791.
The greatest common factor of 6078/623,2624/2919 = [GCF of 6078,2624]/[LCM of 623,2919]= 2/259791
Therefore, the GCF of 6078/623,2624/2919 is 2/259791.
To find the highest common factor of 6078,2624, we have to find the factors of both numbers and list the highest common factor.
The factors of 6078 are 1, 2, 3, 6, 1013, 2026, 3039, 6078
The factors of 2624 are 1, 2, 4, 8, 16, 32, 41, 64, 82, 164, 328, 656, 1312, 2624
The HCF of 6078,2624 is 2.
Lets's calculate GCF of 6078,2624
| 2 | 6078, 2624 |
| 3039, 1312 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 6078,2624 By Matching Biggest Common Factor Method
Now, list down the factors of 6078
:1,2,3,6,1013,2026,3039,6078
Now, list down the factors of 2624
:1,2,4,8,16,32,41,64,82,164,328,656,1312,2624
Greatest Common Factor
We found the factors 6078,2624 . The biggest common factor number is the GCF number.
So the greatest common factor 6078,2624 is 2.
Lets's calculate LCM of 623,2919
| 7 | 623, 2919 |
| 89, 417 |
∴ So the LCM of the given numbers is 7 x 89 x 417 = 259791
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/259791
Therefore, the GCF of Fractions 6078/623,2624/2919 is 2/259791
Least Common Multiple of 623,2919 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 623,2919 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(623,2919) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(623,2919) x common factors =7 x 1 = 7
LCM(623,2919) = ( 623 × 2919 ) / 7
LCM(623,2919) = 1818537 / 7
LCM(623,2919) = 259791
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FAQs on GCF of Fractions of 6078/623, 2624/2919
1. What is the HCF of 6078,2624?
The HCF of 6078,2624 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 6078/623, 2624/2919?
Answer: GCF of Numerators as per given numbers 6078/623, 2624/2919 is
GCF of Numerators i.e. for 6078,2624 is 2
LCM of denominators i.e. for 623,2919 is 259791.
Thus, GCF of Fractions is 2/259791.Finally, GCF of Fractions for 6078/623, 2624/2919 is 2/259791.