GCF of 6597/853, 5130/6895
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6597/853, 5130/6895 i.e 9/5881435 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6597/853, 5130/6895.
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 6597/853,5130/6895?
Given fractions are 6597/853,5130/6895
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 6597/853,5130/6895, numerators are 6597,5130
Denominators are 853,6895
The GCF of 6597,5130 is 9 .
LCM of 853,6895 is 5881435.
The greatest common factor of 6597/853,5130/6895 = [GCF of 6597,5130]/[LCM of 853,6895]= 9/5881435
Therefore, the GCF of 6597/853,5130/6895 is 9/5881435.
To find the highest common factor of 6597,5130, we have to find the factors of both numbers and list the highest common factor.
The factors of 6597 are 1, 3, 9, 733, 2199, 6597
The factors of 5130 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 19, 27, 30, 38, 45, 54, 57, 90, 95, 114, 135, 171, 190, 270, 285, 342, 513, 570, 855, 1026, 1710, 2565, 5130
The HCF of 6597,5130 is 9.
Lets's calculate GCF of 6597,5130
| 3 | 6597, 5130 |
| 3 | 2199, 1710 |
| 733, 570 |
∴ So the GCF of the given numbers is 3 x 3 = 9
Greatest Common Factor of 6597,5130 By Matching Biggest Common Factor Method
Now, list down the factors of 6597
:1,3,9,733,2199,6597
Now, list down the factors of 5130
:1,2,3,5,6,9,10,15,18,19,27,30,38,45,54,57,90,95,114,135,171,190,270,285,342,513,570,855,1026,1710,2565,5130
Greatest Common Factor
We found the factors 6597,5130 . The biggest common factor number is the GCF number.
So the greatest common factor 6597,5130 is 9.
Lets's calculate LCM of 853,6895
Given numbers has no common factors except 1. So, there LCM is their product i.e 5881435
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/5881435
Therefore, the GCF of Fractions 6597/853,5130/6895 is 9/5881435
Least Common Multiple of 853,6895 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 853,6895 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(853,6895) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(853,6895) x common factors =1 x 1 = 1
LCM(853,6895) = ( 853 × 6895 ) / 1
LCM(853,6895) = 5881435 / 1
LCM(853,6895) = 5881435
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FAQs on GCF of Fractions of 6597/853, 5130/6895
1. What is the HCF of 6597,5130?
The HCF of 6597,5130 is 9
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 6597/853, 5130/6895?
Answer: GCF of Numerators as per given numbers 6597/853, 5130/6895 is
GCF of Numerators i.e. for 6597,5130 is 9
LCM of denominators i.e. for 853,6895 is 5881435.
Thus, GCF of Fractions is 9/5881435.Finally, GCF of Fractions for 6597/853, 5130/6895 is 9/5881435.