GCF of 6582/714, 5389/6110
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6582/714, 5389/6110 i.e 1/2181270 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6582/714, 5389/6110.
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 6582/714,5389/6110?
Given fractions are 6582/714,5389/6110
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 6582/714,5389/6110, numerators are 6582,5389
Denominators are 714,6110
The GCF of 6582,5389 is 1 .
LCM of 714,6110 is 2181270.
The greatest common factor of 6582/714,5389/6110 = [GCF of 6582,5389]/[LCM of 714,6110]= 1/2181270
Therefore, the GCF of 6582/714,5389/6110 is 1/2181270.
To find the highest common factor of 6582,5389, 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 5389 are 1, 17, 317, 5389
The HCF of 6582,5389 is 1.
Lets's calculate GCF of 6582,5389
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6582,5389 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 5389
:1,17,317,5389
Greatest Common Factor
We found the factors 6582,5389 . The biggest common factor number is the GCF number.
So the greatest common factor 6582,5389 is 1.
Lets's calculate LCM of 714,6110
| 2 | 714, 6110 |
| 357, 3055 |
∴ So the LCM of the given numbers is 2 x 357 x 3055 = 2181270
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2181270
Therefore, the GCF of Fractions 6582/714,5389/6110 is 1/2181270
Least Common Multiple of 714,6110 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 714,6110 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(714,6110) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(714,6110) x common factors =2 x 1 = 2
LCM(714,6110) = ( 714 × 6110 ) / 2
LCM(714,6110) = 4362540 / 2
LCM(714,6110) = 2181270
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FAQs on GCF of Fractions of 6582/714, 5389/6110
1. What is the HCF of 6582,5389?
The HCF of 6582,5389 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 6582/714, 5389/6110?
Answer: GCF of Numerators as per given numbers 6582/714, 5389/6110 is
GCF of Numerators i.e. for 6582,5389 is 1
LCM of denominators i.e. for 714,6110 is 2181270.
Thus, GCF of Fractions is 1/2181270.Finally, GCF of Fractions for 6582/714, 5389/6110 is 1/2181270.