GCF of 9807/815, 5175/6877
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9807/815, 5175/6877 i.e 3/5604755 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9807/815, 5175/6877.
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 9807/815,5175/6877?
Given fractions are 9807/815,5175/6877
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 9807/815,5175/6877, numerators are 9807,5175
Denominators are 815,6877
The GCF of 9807,5175 is 3 .
LCM of 815,6877 is 5604755.
The greatest common factor of 9807/815,5175/6877 = [GCF of 9807,5175]/[LCM of 815,6877]= 3/5604755
Therefore, the GCF of 9807/815,5175/6877 is 3/5604755.
To find the highest common factor of 9807,5175, we have to find the factors of both numbers and list the highest common factor.
The factors of 9807 are 1, 3, 7, 21, 467, 1401, 3269, 9807
The factors of 5175 are 1, 3, 5, 9, 15, 23, 25, 45, 69, 75, 115, 207, 225, 345, 575, 1035, 1725, 5175
The HCF of 9807,5175 is 3.
Lets's calculate GCF of 9807,5175
| 3 | 9807, 5175 |
| 3269, 1725 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 9807,5175 By Matching Biggest Common Factor Method
Now, list down the factors of 9807
:1,3,7,21,467,1401,3269,9807
Now, list down the factors of 5175
:1,3,5,9,15,23,25,45,69,75,115,207,225,345,575,1035,1725,5175
Greatest Common Factor
We found the factors 9807,5175 . The biggest common factor number is the GCF number.
So the greatest common factor 9807,5175 is 3.
Lets's calculate LCM of 815,6877
Given numbers has no common factors except 1. So, there LCM is their product i.e 5604755
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/5604755
Therefore, the GCF of Fractions 9807/815,5175/6877 is 3/5604755
Least Common Multiple of 815,6877 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 815,6877 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(815,6877) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(815,6877) x common factors =1 x 1 = 1
LCM(815,6877) = ( 815 × 6877 ) / 1
LCM(815,6877) = 5604755 / 1
LCM(815,6877) = 5604755
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FAQs on GCF of Fractions of 9807/815, 5175/6877
1. What is the HCF of 9807,5175?
The HCF of 9807,5175 is 3
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 9807/815, 5175/6877?
Answer: GCF of Numerators as per given numbers 9807/815, 5175/6877 is
GCF of Numerators i.e. for 9807,5175 is 3
LCM of denominators i.e. for 815,6877 is 5604755.
Thus, GCF of Fractions is 3/5604755.Finally, GCF of Fractions for 9807/815, 5175/6877 is 3/5604755.