GCF of 6304/546, 3679/3027
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6304/546, 3679/3027 i.e 1/550914 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6304/546, 3679/3027.
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 6304/546,3679/3027?
Given fractions are 6304/546,3679/3027
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 6304/546,3679/3027, numerators are 6304,3679
Denominators are 546,3027
The GCF of 6304,3679 is 1 .
LCM of 546,3027 is 550914.
The greatest common factor of 6304/546,3679/3027 = [GCF of 6304,3679]/[LCM of 546,3027]= 1/550914
Therefore, the GCF of 6304/546,3679/3027 is 1/550914.
To find the highest common factor of 6304,3679, we have to find the factors of both numbers and list the highest common factor.
The factors of 6304 are 1, 2, 4, 8, 16, 32, 197, 394, 788, 1576, 3152, 6304
The factors of 3679 are 1, 13, 283, 3679
The HCF of 6304,3679 is 1.
Lets's calculate GCF of 6304,3679
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6304,3679 By Matching Biggest Common Factor Method
Now, list down the factors of 6304
:1,2,4,8,16,32,197,394,788,1576,3152,6304
Now, list down the factors of 3679
:1,13,283,3679
Greatest Common Factor
We found the factors 6304,3679 . The biggest common factor number is the GCF number.
So the greatest common factor 6304,3679 is 1.
Lets's calculate LCM of 546,3027
| 3 | 546, 3027 |
| 182, 1009 |
∴ So the LCM of the given numbers is 3 x 182 x 1009 = 550914
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/550914
Therefore, the GCF of Fractions 6304/546,3679/3027 is 1/550914
Least Common Multiple of 546,3027 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 546,3027 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(546,3027) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(546,3027) x common factors =3 x 1 = 3
LCM(546,3027) = ( 546 × 3027 ) / 3
LCM(546,3027) = 1652742 / 3
LCM(546,3027) = 550914
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FAQs on GCF of Fractions of 6304/546, 3679/3027
1. What is the HCF of 6304,3679?
The HCF of 6304,3679 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 6304/546, 3679/3027?
Answer: GCF of Numerators as per given numbers 6304/546, 3679/3027 is
GCF of Numerators i.e. for 6304,3679 is 1
LCM of denominators i.e. for 546,3027 is 550914.
Thus, GCF of Fractions is 1/550914.Finally, GCF of Fractions for 6304/546, 3679/3027 is 1/550914.