GCF of 6352/595, 9986/343
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6352/595, 9986/343 i.e 2/29155 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6352/595, 9986/343.
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 6352/595,9986/343?
Given fractions are 6352/595,9986/343
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 6352/595,9986/343, numerators are 6352,9986
Denominators are 595,343
The GCF of 6352,9986 is 2 .
LCM of 595,343 is 29155.
The greatest common factor of 6352/595,9986/343 = [GCF of 6352,9986]/[LCM of 595,343]= 2/29155
Therefore, the GCF of 6352/595,9986/343 is 2/29155.
To find the highest common factor of 6352,9986, we have to find the factors of both numbers and list the highest common factor.
The factors of 6352 are 1, 2, 4, 8, 16, 397, 794, 1588, 3176, 6352
The factors of 9986 are 1, 2, 4993, 9986
The HCF of 6352,9986 is 2.
Lets's calculate GCF of 6352,9986
| 2 | 6352, 9986 |
| 3176, 4993 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 6352,9986 By Matching Biggest Common Factor Method
Now, list down the factors of 6352
:1,2,4,8,16,397,794,1588,3176,6352
Now, list down the factors of 9986
:1,2,4993,9986
Greatest Common Factor
We found the factors 6352,9986 . The biggest common factor number is the GCF number.
So the greatest common factor 6352,9986 is 2.
Lets's calculate LCM of 595,343
| 7 | 595, 343 |
| 85, 49 |
∴ So the LCM of the given numbers is 7 x 85 x 49 = 29155
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/29155
Therefore, the GCF of Fractions 6352/595,9986/343 is 2/29155
Least Common Multiple of 595,343 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 595,343 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(595,343) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(595,343) x common factors =7 x 1 = 7
LCM(595,343) = ( 595 × 343 ) / 7
LCM(595,343) = 204085 / 7
LCM(595,343) = 29155
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FAQs on GCF of Fractions of 6352/595, 9986/343
1. What is the HCF of 6352,9986?
The HCF of 6352,9986 is 2
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 6352/595, 9986/343?
Answer: GCF of Numerators as per given numbers 6352/595, 9986/343 is
GCF of Numerators i.e. for 6352,9986 is 2
LCM of denominators i.e. for 595,343 is 29155.
Thus, GCF of Fractions is 2/29155.Finally, GCF of Fractions for 6352/595, 9986/343 is 2/29155.