GCF of 6107/496, 5830/584
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6107/496, 5830/584 i.e 1/36208 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6107/496, 5830/584.
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 6107/496,5830/584?
Given fractions are 6107/496,5830/584
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 6107/496,5830/584, numerators are 6107,5830
Denominators are 496,584
The GCF of 6107,5830 is 1 .
LCM of 496,584 is 36208.
The greatest common factor of 6107/496,5830/584 = [GCF of 6107,5830]/[LCM of 496,584]= 1/36208
Therefore, the GCF of 6107/496,5830/584 is 1/36208.
To find the highest common factor of 6107,5830, we have to find the factors of both numbers and list the highest common factor.
The factors of 6107 are 1, 31, 197, 6107
The factors of 5830 are 1, 2, 5, 10, 11, 22, 53, 55, 106, 110, 265, 530, 583, 1166, 2915, 5830
The HCF of 6107,5830 is 1.
Lets's calculate GCF of 6107,5830
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6107,5830 By Matching Biggest Common Factor Method
Now, list down the factors of 6107
:1,31,197,6107
Now, list down the factors of 5830
:1,2,5,10,11,22,53,55,106,110,265,530,583,1166,2915,5830
Greatest Common Factor
We found the factors 6107,5830 . The biggest common factor number is the GCF number.
So the greatest common factor 6107,5830 is 1.
Lets's calculate LCM of 496,584
| 2 | 496, 584 |
| 2 | 248, 292 |
| 2 | 124, 146 |
| 62, 73 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 62 x 73 = 36208
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/36208
Therefore, the GCF of Fractions 6107/496,5830/584 is 1/36208
Least Common Multiple of 496,584 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 496,584 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(496,584) = 8
common factors(in case of two or more numbers have common factors) = 1
GCF(496,584) x common factors =8 x 1 = 8
LCM(496,584) = ( 496 × 584 ) / 8
LCM(496,584) = 289664 / 8
LCM(496,584) = 36208
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FAQs on GCF of Fractions of 6107/496, 5830/584
1. What is the HCF of 6107,5830?
The HCF of 6107,5830 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 6107/496, 5830/584?
Answer: GCF of Numerators as per given numbers 6107/496, 5830/584 is
GCF of Numerators i.e. for 6107,5830 is 1
LCM of denominators i.e. for 496,584 is 36208.
Thus, GCF of Fractions is 1/36208.Finally, GCF of Fractions for 6107/496, 5830/584 is 1/36208.