GCF of 6569/756, 6126/306
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6569/756, 6126/306 i.e 1/12852 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6569/756, 6126/306.
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 6569/756,6126/306?
Given fractions are 6569/756,6126/306
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 6569/756,6126/306, numerators are 6569,6126
Denominators are 756,306
The GCF of 6569,6126 is 1 .
LCM of 756,306 is 12852.
The greatest common factor of 6569/756,6126/306 = [GCF of 6569,6126]/[LCM of 756,306]= 1/12852
Therefore, the GCF of 6569/756,6126/306 is 1/12852.
To find the highest common factor of 6569,6126, we have to find the factors of both numbers and list the highest common factor.
The factors of 6569 are 1, 6569
The factors of 6126 are 1, 2, 3, 6, 1021, 2042, 3063, 6126
The HCF of 6569,6126 is 1.
Lets's calculate GCF of 6569,6126
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6569,6126 By Matching Biggest Common Factor Method
Now, list down the factors of 6569
:1,6569
Now, list down the factors of 6126
:1,2,3,6,1021,2042,3063,6126
Greatest Common Factor
We found the factors 6569,6126 . The biggest common factor number is the GCF number.
So the greatest common factor 6569,6126 is 1.
Lets's calculate LCM of 756,306
| 2 | 756, 306 |
| 3 | 378, 153 |
| 3 | 126, 51 |
| 42, 17 |
∴ So the LCM of the given numbers is 2 x 3 x 3 x 42 x 17 = 12852
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/12852
Therefore, the GCF of Fractions 6569/756,6126/306 is 1/12852
Least Common Multiple of 756,306 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 756,306 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(756,306) = 18
common factors(in case of two or more numbers have common factors) = 1
GCF(756,306) x common factors =18 x 1 = 18
LCM(756,306) = ( 756 × 306 ) / 18
LCM(756,306) = 231336 / 18
LCM(756,306) = 12852
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FAQs on GCF of Fractions of 6569/756, 6126/306
1. What is the HCF of 6569,6126?
The HCF of 6569,6126 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 6569/756, 6126/306?
Answer: GCF of Numerators as per given numbers 6569/756, 6126/306 is
GCF of Numerators i.e. for 6569,6126 is 1
LCM of denominators i.e. for 756,306 is 12852.
Thus, GCF of Fractions is 1/12852.Finally, GCF of Fractions for 6569/756, 6126/306 is 1/12852.