GCF of 6569/875, 5219/644
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6569/875, 5219/644 i.e 1/80500 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6569/875, 5219/644.
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 6569/875,5219/644?
Given fractions are 6569/875,5219/644
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 6569/875,5219/644, numerators are 6569,5219
Denominators are 875,644
The GCF of 6569,5219 is 1 .
LCM of 875,644 is 80500.
The greatest common factor of 6569/875,5219/644 = [GCF of 6569,5219]/[LCM of 875,644]= 1/80500
Therefore, the GCF of 6569/875,5219/644 is 1/80500.
To find the highest common factor of 6569,5219, 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 5219 are 1, 17, 307, 5219
The HCF of 6569,5219 is 1.
Lets's calculate GCF of 6569,5219
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6569,5219 By Matching Biggest Common Factor Method
Now, list down the factors of 6569
:1,6569
Now, list down the factors of 5219
:1,17,307,5219
Greatest Common Factor
We found the factors 6569,5219 . The biggest common factor number is the GCF number.
So the greatest common factor 6569,5219 is 1.
Lets's calculate LCM of 875,644
| 7 | 875, 644 |
| 125, 92 |
∴ So the LCM of the given numbers is 7 x 125 x 92 = 80500
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/80500
Therefore, the GCF of Fractions 6569/875,5219/644 is 1/80500
Least Common Multiple of 875,644 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 875,644 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(875,644) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(875,644) x common factors =7 x 1 = 7
LCM(875,644) = ( 875 × 644 ) / 7
LCM(875,644) = 563500 / 7
LCM(875,644) = 80500
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FAQs on GCF of Fractions of 6569/875, 5219/644
1. What is the HCF of 6569,5219?
The HCF of 6569,5219 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 6569/875, 5219/644?
Answer: GCF of Numerators as per given numbers 6569/875, 5219/644 is
GCF of Numerators i.e. for 6569,5219 is 1
LCM of denominators i.e. for 875,644 is 80500.
Thus, GCF of Fractions is 1/80500.Finally, GCF of Fractions for 6569/875, 5219/644 is 1/80500.