GCF of 6904/108, 6218/1736
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6904/108, 6218/1736 i.e 2/46872 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6904/108, 6218/1736.
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 6904/108,6218/1736?
Given fractions are 6904/108,6218/1736
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 6904/108,6218/1736, numerators are 6904,6218
Denominators are 108,1736
The GCF of 6904,6218 is 2 .
LCM of 108,1736 is 46872.
The greatest common factor of 6904/108,6218/1736 = [GCF of 6904,6218]/[LCM of 108,1736]= 2/46872
Therefore, the GCF of 6904/108,6218/1736 is 2/46872.
To find the highest common factor of 6904,6218, we have to find the factors of both numbers and list the highest common factor.
The factors of 6904 are 1, 2, 4, 8, 863, 1726, 3452, 6904
The factors of 6218 are 1, 2, 3109, 6218
The HCF of 6904,6218 is 2.
Lets's calculate GCF of 6904,6218
| 2 | 6904, 6218 |
| 3452, 3109 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 6904,6218 By Matching Biggest Common Factor Method
Now, list down the factors of 6904
:1,2,4,8,863,1726,3452,6904
Now, list down the factors of 6218
:1,2,3109,6218
Greatest Common Factor
We found the factors 6904,6218 . The biggest common factor number is the GCF number.
So the greatest common factor 6904,6218 is 2.
Lets's calculate LCM of 108,1736
| 2 | 108, 1736 |
| 2 | 54, 868 |
| 27, 434 |
∴ So the LCM of the given numbers is 2 x 2 x 27 x 434 = 46872
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/46872
Therefore, the GCF of Fractions 6904/108,6218/1736 is 2/46872
Least Common Multiple of 108,1736 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 108,1736 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(108,1736) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(108,1736) x common factors =4 x 1 = 4
LCM(108,1736) = ( 108 × 1736 ) / 4
LCM(108,1736) = 187488 / 4
LCM(108,1736) = 46872
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FAQs on GCF of Fractions of 6904/108, 6218/1736
1. What is the HCF of 6904,6218?
The HCF of 6904,6218 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 6904/108, 6218/1736?
Answer: GCF of Numerators as per given numbers 6904/108, 6218/1736 is
GCF of Numerators i.e. for 6904,6218 is 2
LCM of denominators i.e. for 108,1736 is 46872.
Thus, GCF of Fractions is 2/46872.Finally, GCF of Fractions for 6904/108, 6218/1736 is 2/46872.