GCF of 8798/105, 5395/8819
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8798/105, 5395/8819 i.e 83/925995 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8798/105, 5395/8819.
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 8798/105,5395/8819?
Given fractions are 8798/105,5395/8819
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 8798/105,5395/8819, numerators are 8798,5395
Denominators are 105,8819
The GCF of 8798,5395 is 83 .
LCM of 105,8819 is 925995.
The greatest common factor of 8798/105,5395/8819 = [GCF of 8798,5395]/[LCM of 105,8819]= 83/925995
Therefore, the GCF of 8798/105,5395/8819 is 83/925995.
To find the highest common factor of 8798,5395, we have to find the factors of both numbers and list the highest common factor.
The factors of 8798 are 1, 2, 53, 83, 106, 166, 4399, 8798
The factors of 5395 are 1, 5, 13, 65, 83, 415, 1079, 5395
The HCF of 8798,5395 is 83.
Lets's calculate GCF of 8798,5395
| 83 | 8798, 5395 |
| 106, 65 |
∴ So the GCF of the given numbers is 83 = 83
Greatest Common Factor of 8798,5395 By Matching Biggest Common Factor Method
Now, list down the factors of 8798
:1,2,53,83,106,166,4399,8798
Now, list down the factors of 5395
:1,5,13,65,83,415,1079,5395
Greatest Common Factor
We found the factors 8798,5395 . The biggest common factor number is the GCF number.
So the greatest common factor 8798,5395 is 83.
Lets's calculate LCM of 105,8819
Given numbers has no common factors except 1. So, there LCM is their product i.e 925995
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 83/925995
Therefore, the GCF of Fractions 8798/105,5395/8819 is 83/925995
Least Common Multiple of 105,8819 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 105,8819 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(105,8819) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(105,8819) x common factors =1 x 1 = 1
LCM(105,8819) = ( 105 × 8819 ) / 1
LCM(105,8819) = 925995 / 1
LCM(105,8819) = 925995
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FAQs on GCF of Fractions of 8798/105, 5395/8819
1. What is the HCF of 8798,5395?
The HCF of 8798,5395 is 83
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 8798/105, 5395/8819?
Answer: GCF of Numerators as per given numbers 8798/105, 5395/8819 is
GCF of Numerators i.e. for 8798,5395 is 83
LCM of denominators i.e. for 105,8819 is 925995.
Thus, GCF of Fractions is 83/925995.Finally, GCF of Fractions for 8798/105, 5395/8819 is 83/925995.