GCF of 6582/357, 4756/3930
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6582/357, 4756/3930 i.e 2/467670 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6582/357, 4756/3930.
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 6582/357,4756/3930?
Given fractions are 6582/357,4756/3930
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 6582/357,4756/3930, numerators are 6582,4756
Denominators are 357,3930
The GCF of 6582,4756 is 2 .
LCM of 357,3930 is 467670.
The greatest common factor of 6582/357,4756/3930 = [GCF of 6582,4756]/[LCM of 357,3930]= 2/467670
Therefore, the GCF of 6582/357,4756/3930 is 2/467670.
To find the highest common factor of 6582,4756, we have to find the factors of both numbers and list the highest common factor.
The factors of 6582 are 1, 2, 3, 6, 1097, 2194, 3291, 6582
The factors of 4756 are 1, 2, 4, 29, 41, 58, 82, 116, 164, 1189, 2378, 4756
The HCF of 6582,4756 is 2.
Lets's calculate GCF of 6582,4756
| 2 | 6582, 4756 |
| 3291, 2378 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 6582,4756 By Matching Biggest Common Factor Method
Now, list down the factors of 6582
:1,2,3,6,1097,2194,3291,6582
Now, list down the factors of 4756
:1,2,4,29,41,58,82,116,164,1189,2378,4756
Greatest Common Factor
We found the factors 6582,4756 . The biggest common factor number is the GCF number.
So the greatest common factor 6582,4756 is 2.
Lets's calculate LCM of 357,3930
| 3 | 357, 3930 |
| 119, 1310 |
∴ So the LCM of the given numbers is 3 x 119 x 1310 = 467670
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/467670
Therefore, the GCF of Fractions 6582/357,4756/3930 is 2/467670
Least Common Multiple of 357,3930 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 357,3930 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(357,3930) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(357,3930) x common factors =3 x 1 = 3
LCM(357,3930) = ( 357 × 3930 ) / 3
LCM(357,3930) = 1403010 / 3
LCM(357,3930) = 467670
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FAQs on GCF of Fractions of 6582/357, 4756/3930
1. What is the HCF of 6582,4756?
The HCF of 6582,4756 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 6582/357, 4756/3930?
Answer: GCF of Numerators as per given numbers 6582/357, 4756/3930 is
GCF of Numerators i.e. for 6582,4756 is 2
LCM of denominators i.e. for 357,3930 is 467670.
Thus, GCF of Fractions is 2/467670.Finally, GCF of Fractions for 6582/357, 4756/3930 is 2/467670.