GCF of 6018/767, 6578/3389
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6018/767, 6578/3389 i.e 2/2599363 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6018/767, 6578/3389.
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 6018/767,6578/3389?
Given fractions are 6018/767,6578/3389
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 6018/767,6578/3389, numerators are 6018,6578
Denominators are 767,3389
The GCF of 6018,6578 is 2 .
LCM of 767,3389 is 2599363.
The greatest common factor of 6018/767,6578/3389 = [GCF of 6018,6578]/[LCM of 767,3389]= 2/2599363
Therefore, the GCF of 6018/767,6578/3389 is 2/2599363.
To find the highest common factor of 6018,6578, we have to find the factors of both numbers and list the highest common factor.
The factors of 6018 are 1, 2, 3, 6, 17, 34, 51, 59, 102, 118, 177, 354, 1003, 2006, 3009, 6018
The factors of 6578 are 1, 2, 11, 13, 22, 23, 26, 46, 143, 253, 286, 299, 506, 598, 3289, 6578
The HCF of 6018,6578 is 2.
Lets's calculate GCF of 6018,6578
| 2 | 6018, 6578 |
| 3009, 3289 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 6018,6578 By Matching Biggest Common Factor Method
Now, list down the factors of 6018
:1,2,3,6,17,34,51,59,102,118,177,354,1003,2006,3009,6018
Now, list down the factors of 6578
:1,2,11,13,22,23,26,46,143,253,286,299,506,598,3289,6578
Greatest Common Factor
We found the factors 6018,6578 . The biggest common factor number is the GCF number.
So the greatest common factor 6018,6578 is 2.
Lets's calculate LCM of 767,3389
Given numbers has no common factors except 1. So, there LCM is their product i.e 2599363
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2599363
Therefore, the GCF of Fractions 6018/767,6578/3389 is 2/2599363
Least Common Multiple of 767,3389 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 767,3389 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(767,3389) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(767,3389) x common factors =1 x 1 = 1
LCM(767,3389) = ( 767 × 3389 ) / 1
LCM(767,3389) = 2599363 / 1
LCM(767,3389) = 2599363
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FAQs on GCF of Fractions of 6018/767, 6578/3389
1. What is the HCF of 6018,6578?
The HCF of 6018,6578 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 6018/767, 6578/3389?
Answer: GCF of Numerators as per given numbers 6018/767, 6578/3389 is
GCF of Numerators i.e. for 6018,6578 is 2
LCM of denominators i.e. for 767,3389 is 2599363.
Thus, GCF of Fractions is 2/2599363.Finally, GCF of Fractions for 6018/767, 6578/3389 is 2/2599363.