GCF of 6164/513, 6296/5991
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6164/513, 6296/5991 i.e 4/1024461 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6164/513, 6296/5991.
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 6164/513,6296/5991?
Given fractions are 6164/513,6296/5991
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 6164/513,6296/5991, numerators are 6164,6296
Denominators are 513,5991
The GCF of 6164,6296 is 4 .
LCM of 513,5991 is 1024461.
The greatest common factor of 6164/513,6296/5991 = [GCF of 6164,6296]/[LCM of 513,5991]= 4/1024461
Therefore, the GCF of 6164/513,6296/5991 is 4/1024461.
To find the highest common factor of 6164,6296, we have to find the factors of both numbers and list the highest common factor.
The factors of 6164 are 1, 2, 4, 23, 46, 67, 92, 134, 268, 1541, 3082, 6164
The factors of 6296 are 1, 2, 4, 8, 787, 1574, 3148, 6296
The HCF of 6164,6296 is 4.
Lets's calculate GCF of 6164,6296
| 2 | 6164, 6296 |
| 2 | 3082, 3148 |
| 1541, 1574 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 6164,6296 By Matching Biggest Common Factor Method
Now, list down the factors of 6164
:1,2,4,23,46,67,92,134,268,1541,3082,6164
Now, list down the factors of 6296
:1,2,4,8,787,1574,3148,6296
Greatest Common Factor
We found the factors 6164,6296 . The biggest common factor number is the GCF number.
So the greatest common factor 6164,6296 is 4.
Lets's calculate LCM of 513,5991
| 3 | 513, 5991 |
| 171, 1997 |
∴ So the LCM of the given numbers is 3 x 171 x 1997 = 1024461
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/1024461
Therefore, the GCF of Fractions 6164/513,6296/5991 is 4/1024461
Least Common Multiple of 513,5991 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 513,5991 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(513,5991) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(513,5991) x common factors =3 x 1 = 3
LCM(513,5991) = ( 513 × 5991 ) / 3
LCM(513,5991) = 3073383 / 3
LCM(513,5991) = 1024461
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FAQs on GCF of Fractions of 6164/513, 6296/5991
1. What is the HCF of 6164,6296?
The HCF of 6164,6296 is 4
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 6164/513, 6296/5991?
Answer: GCF of Numerators as per given numbers 6164/513, 6296/5991 is
GCF of Numerators i.e. for 6164,6296 is 4
LCM of denominators i.e. for 513,5991 is 1024461.
Thus, GCF of Fractions is 4/1024461.Finally, GCF of Fractions for 6164/513, 6296/5991 is 4/1024461.