GCF of 6855/106, 6672/8960
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6855/106, 6672/8960 i.e 3/474880 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6855/106, 6672/8960.
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 6855/106,6672/8960?
Given fractions are 6855/106,6672/8960
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 6855/106,6672/8960, numerators are 6855,6672
Denominators are 106,8960
The GCF of 6855,6672 is 3 .
LCM of 106,8960 is 474880.
The greatest common factor of 6855/106,6672/8960 = [GCF of 6855,6672]/[LCM of 106,8960]= 3/474880
Therefore, the GCF of 6855/106,6672/8960 is 3/474880.
To find the highest common factor of 6855,6672, we have to find the factors of both numbers and list the highest common factor.
The factors of 6855 are 1, 3, 5, 15, 457, 1371, 2285, 6855
The factors of 6672 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 139, 278, 417, 556, 834, 1112, 1668, 2224, 3336, 6672
The HCF of 6855,6672 is 3.
Lets's calculate GCF of 6855,6672
| 3 | 6855, 6672 |
| 2285, 2224 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 6855,6672 By Matching Biggest Common Factor Method
Now, list down the factors of 6855
:1,3,5,15,457,1371,2285,6855
Now, list down the factors of 6672
:1,2,3,4,6,8,12,16,24,48,139,278,417,556,834,1112,1668,2224,3336,6672
Greatest Common Factor
We found the factors 6855,6672 . The biggest common factor number is the GCF number.
So the greatest common factor 6855,6672 is 3.
Lets's calculate LCM of 106,8960
| 2 | 106, 8960 |
| 53, 4480 |
∴ So the LCM of the given numbers is 2 x 53 x 4480 = 474880
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/474880
Therefore, the GCF of Fractions 6855/106,6672/8960 is 3/474880
Least Common Multiple of 106,8960 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 106,8960 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(106,8960) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(106,8960) x common factors =2 x 1 = 2
LCM(106,8960) = ( 106 × 8960 ) / 2
LCM(106,8960) = 949760 / 2
LCM(106,8960) = 474880
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FAQs on GCF of Fractions of 6855/106, 6672/8960
1. What is the HCF of 6855,6672?
The HCF of 6855,6672 is 3
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 6855/106, 6672/8960?
Answer: GCF of Numerators as per given numbers 6855/106, 6672/8960 is
GCF of Numerators i.e. for 6855,6672 is 3
LCM of denominators i.e. for 106,8960 is 474880.
Thus, GCF of Fractions is 3/474880.Finally, GCF of Fractions for 6855/106, 6672/8960 is 3/474880.