GCF of 6368/218, 2108/163
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6368/218, 2108/163 i.e 4/35534 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6368/218, 2108/163.
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 6368/218,2108/163?
Given fractions are 6368/218,2108/163
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 6368/218,2108/163, numerators are 6368,2108
Denominators are 218,163
The GCF of 6368,2108 is 4 .
LCM of 218,163 is 35534.
The greatest common factor of 6368/218,2108/163 = [GCF of 6368,2108]/[LCM of 218,163]= 4/35534
Therefore, the GCF of 6368/218,2108/163 is 4/35534.
To find the highest common factor of 6368,2108, we have to find the factors of both numbers and list the highest common factor.
The factors of 6368 are 1, 2, 4, 8, 16, 32, 199, 398, 796, 1592, 3184, 6368
The factors of 2108 are 1, 2, 4, 17, 31, 34, 62, 68, 124, 527, 1054, 2108
The HCF of 6368,2108 is 4.
Lets's calculate GCF of 6368,2108
| 2 | 6368, 2108 |
| 2 | 3184, 1054 |
| 1592, 527 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 6368,2108 By Matching Biggest Common Factor Method
Now, list down the factors of 6368
:1,2,4,8,16,32,199,398,796,1592,3184,6368
Now, list down the factors of 2108
:1,2,4,17,31,34,62,68,124,527,1054,2108
Greatest Common Factor
We found the factors 6368,2108 . The biggest common factor number is the GCF number.
So the greatest common factor 6368,2108 is 4.
Lets's calculate LCM of 218,163
Given numbers has no common factors except 1. So, there LCM is their product i.e 35534
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/35534
Therefore, the GCF of Fractions 6368/218,2108/163 is 4/35534
Least Common Multiple of 218,163 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 218,163 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(218,163) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(218,163) x common factors =1 x 1 = 1
LCM(218,163) = ( 218 × 163 ) / 1
LCM(218,163) = 35534 / 1
LCM(218,163) = 35534
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FAQs on GCF of Fractions of 6368/218, 2108/163
1. What is the HCF of 6368,2108?
The HCF of 6368,2108 is 4
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 6368/218, 2108/163?
Answer: GCF of Numerators as per given numbers 6368/218, 2108/163 is
GCF of Numerators i.e. for 6368,2108 is 4
LCM of denominators i.e. for 218,163 is 35534.
Thus, GCF of Fractions is 4/35534.Finally, GCF of Fractions for 6368/218, 2108/163 is 4/35534.