GCF of 6214/462, 6591/9830
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6214/462, 6591/9830 i.e 13/2270730 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6214/462, 6591/9830.
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 6214/462,6591/9830?
Given fractions are 6214/462,6591/9830
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 6214/462,6591/9830, numerators are 6214,6591
Denominators are 462,9830
The GCF of 6214,6591 is 13 .
LCM of 462,9830 is 2270730.
The greatest common factor of 6214/462,6591/9830 = [GCF of 6214,6591]/[LCM of 462,9830]= 13/2270730
Therefore, the GCF of 6214/462,6591/9830 is 13/2270730.
To find the highest common factor of 6214,6591, we have to find the factors of both numbers and list the highest common factor.
The factors of 6214 are 1, 2, 13, 26, 239, 478, 3107, 6214
The factors of 6591 are 1, 3, 13, 39, 169, 507, 2197, 6591
The HCF of 6214,6591 is 13.
Lets's calculate GCF of 6214,6591
| 13 | 6214, 6591 |
| 478, 507 |
∴ So the GCF of the given numbers is 13 = 13
Greatest Common Factor of 6214,6591 By Matching Biggest Common Factor Method
Now, list down the factors of 6214
:1,2,13,26,239,478,3107,6214
Now, list down the factors of 6591
:1,3,13,39,169,507,2197,6591
Greatest Common Factor
We found the factors 6214,6591 . The biggest common factor number is the GCF number.
So the greatest common factor 6214,6591 is 13.
Lets's calculate LCM of 462,9830
| 2 | 462, 9830 |
| 231, 4915 |
∴ So the LCM of the given numbers is 2 x 231 x 4915 = 2270730
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/2270730
Therefore, the GCF of Fractions 6214/462,6591/9830 is 13/2270730
Least Common Multiple of 462,9830 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 462,9830 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(462,9830) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(462,9830) x common factors =2 x 1 = 2
LCM(462,9830) = ( 462 × 9830 ) / 2
LCM(462,9830) = 4541460 / 2
LCM(462,9830) = 2270730
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FAQs on GCF of Fractions of 6214/462, 6591/9830
1. What is the HCF of 6214,6591?
The HCF of 6214,6591 is 13
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 6214/462, 6591/9830?
Answer: GCF of Numerators as per given numbers 6214/462, 6591/9830 is
GCF of Numerators i.e. for 6214,6591 is 13
LCM of denominators i.e. for 462,9830 is 2270730.
Thus, GCF of Fractions is 13/2270730.Finally, GCF of Fractions for 6214/462, 6591/9830 is 13/2270730.