GCF of 1330/265, 6586/6125
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1330/265, 6586/6125 i.e 2/324625 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1330/265, 6586/6125.
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 1330/265,6586/6125?
Given fractions are 1330/265,6586/6125
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 1330/265,6586/6125, numerators are 1330,6586
Denominators are 265,6125
The GCF of 1330,6586 is 2 .
LCM of 265,6125 is 324625.
The greatest common factor of 1330/265,6586/6125 = [GCF of 1330,6586]/[LCM of 265,6125]= 2/324625
Therefore, the GCF of 1330/265,6586/6125 is 2/324625.
To find the highest common factor of 1330,6586, we have to find the factors of both numbers and list the highest common factor.
The factors of 1330 are 1, 2, 5, 7, 10, 14, 19, 35, 38, 70, 95, 133, 190, 266, 665, 1330
The factors of 6586 are 1, 2, 37, 74, 89, 178, 3293, 6586
The HCF of 1330,6586 is 2.
Lets's calculate GCF of 1330,6586
| 2 | 1330, 6586 |
| 665, 3293 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 1330,6586 By Matching Biggest Common Factor Method
Now, list down the factors of 1330
:1,2,5,7,10,14,19,35,38,70,95,133,190,266,665,1330
Now, list down the factors of 6586
:1,2,37,74,89,178,3293,6586
Greatest Common Factor
We found the factors 1330,6586 . The biggest common factor number is the GCF number.
So the greatest common factor 1330,6586 is 2.
Lets's calculate LCM of 265,6125
| 5 | 265, 6125 |
| 53, 1225 |
∴ So the LCM of the given numbers is 5 x 53 x 1225 = 324625
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/324625
Therefore, the GCF of Fractions 1330/265,6586/6125 is 2/324625
Least Common Multiple of 265,6125 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 265,6125 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(265,6125) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(265,6125) x common factors =5 x 1 = 5
LCM(265,6125) = ( 265 × 6125 ) / 5
LCM(265,6125) = 1623125 / 5
LCM(265,6125) = 324625
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FAQs on GCF of Fractions of 1330/265, 6586/6125
1. What is the HCF of 1330,6586?
The HCF of 1330,6586 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 1330/265, 6586/6125?
Answer: GCF of Numerators as per given numbers 1330/265, 6586/6125 is
GCF of Numerators i.e. for 1330,6586 is 2
LCM of denominators i.e. for 265,6125 is 324625.
Thus, GCF of Fractions is 2/324625.Finally, GCF of Fractions for 1330/265, 6586/6125 is 2/324625.