GCF of 2338/797, 8330/8635
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2338/797, 8330/8635 i.e 14/6882095 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2338/797, 8330/8635.
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 2338/797,8330/8635?
Given fractions are 2338/797,8330/8635
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 2338/797,8330/8635, numerators are 2338,8330
Denominators are 797,8635
The GCF of 2338,8330 is 14 .
LCM of 797,8635 is 6882095.
The greatest common factor of 2338/797,8330/8635 = [GCF of 2338,8330]/[LCM of 797,8635]= 14/6882095
Therefore, the GCF of 2338/797,8330/8635 is 14/6882095.
To find the highest common factor of 2338,8330, we have to find the factors of both numbers and list the highest common factor.
The factors of 2338 are 1, 2, 7, 14, 167, 334, 1169, 2338
The factors of 8330 are 1, 2, 5, 7, 10, 14, 17, 34, 35, 49, 70, 85, 98, 119, 170, 238, 245, 490, 595, 833, 1190, 1666, 4165, 8330
The HCF of 2338,8330 is 14.
Lets's calculate GCF of 2338,8330
| 2 | 2338, 8330 |
| 7 | 1169, 4165 |
| 167, 595 |
∴ So the GCF of the given numbers is 2 x 7 = 14
Greatest Common Factor of 2338,8330 By Matching Biggest Common Factor Method
Now, list down the factors of 2338
:1,2,7,14,167,334,1169,2338
Now, list down the factors of 8330
:1,2,5,7,10,14,17,34,35,49,70,85,98,119,170,238,245,490,595,833,1190,1666,4165,8330
Greatest Common Factor
We found the factors 2338,8330 . The biggest common factor number is the GCF number.
So the greatest common factor 2338,8330 is 14.
Lets's calculate LCM of 797,8635
Given numbers has no common factors except 1. So, there LCM is their product i.e 6882095
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 14/6882095
Therefore, the GCF of Fractions 2338/797,8330/8635 is 14/6882095
Least Common Multiple of 797,8635 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 797,8635 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(797,8635) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(797,8635) x common factors =1 x 1 = 1
LCM(797,8635) = ( 797 × 8635 ) / 1
LCM(797,8635) = 6882095 / 1
LCM(797,8635) = 6882095
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FAQs on GCF of Fractions of 2338/797, 8330/8635
1. What is the HCF of 2338,8330?
The HCF of 2338,8330 is 14
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 2338/797, 8330/8635?
Answer: GCF of Numerators as per given numbers 2338/797, 8330/8635 is
GCF of Numerators i.e. for 2338,8330 is 14
LCM of denominators i.e. for 797,8635 is 6882095.
Thus, GCF of Fractions is 14/6882095.Finally, GCF of Fractions for 2338/797, 8330/8635 is 14/6882095.