GCF of 5197/322, 8610/4459
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5197/322, 8610/4459 i.e 1/205114 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5197/322, 8610/4459.
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 5197/322,8610/4459?
Given fractions are 5197/322,8610/4459
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 5197/322,8610/4459, numerators are 5197,8610
Denominators are 322,4459
The GCF of 5197,8610 is 1 .
LCM of 322,4459 is 205114.
The greatest common factor of 5197/322,8610/4459 = [GCF of 5197,8610]/[LCM of 322,4459]= 1/205114
Therefore, the GCF of 5197/322,8610/4459 is 1/205114.
To find the highest common factor of 5197,8610, we have to find the factors of both numbers and list the highest common factor.
The factors of 5197 are 1, 5197
The factors of 8610 are 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 41, 42, 70, 82, 105, 123, 205, 210, 246, 287, 410, 574, 615, 861, 1230, 1435, 1722, 2870, 4305, 8610
The HCF of 5197,8610 is 1.
Lets's calculate GCF of 5197,8610
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5197,8610 By Matching Biggest Common Factor Method
Now, list down the factors of 5197
:1,5197
Now, list down the factors of 8610
:1,2,3,5,6,7,10,14,15,21,30,35,41,42,70,82,105,123,205,210,246,287,410,574,615,861,1230,1435,1722,2870,4305,8610
Greatest Common Factor
We found the factors 5197,8610 . The biggest common factor number is the GCF number.
So the greatest common factor 5197,8610 is 1.
Lets's calculate LCM of 322,4459
| 7 | 322, 4459 |
| 46, 637 |
∴ So the LCM of the given numbers is 7 x 46 x 637 = 205114
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/205114
Therefore, the GCF of Fractions 5197/322,8610/4459 is 1/205114
Least Common Multiple of 322,4459 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 322,4459 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(322,4459) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(322,4459) x common factors =7 x 1 = 7
LCM(322,4459) = ( 322 × 4459 ) / 7
LCM(322,4459) = 1435798 / 7
LCM(322,4459) = 205114
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FAQs on GCF of Fractions of 5197/322, 8610/4459
1. What is the HCF of 5197,8610?
The HCF of 5197,8610 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 5197/322, 8610/4459?
Answer: GCF of Numerators as per given numbers 5197/322, 8610/4459 is
GCF of Numerators i.e. for 5197,8610 is 1
LCM of denominators i.e. for 322,4459 is 205114.
Thus, GCF of Fractions is 1/205114.Finally, GCF of Fractions for 5197/322, 8610/4459 is 1/205114.