GCF of 6888/700, 6806/3613
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6888/700, 6806/3613 i.e 82/2529100 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6888/700, 6806/3613.
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 6888/700,6806/3613?
Given fractions are 6888/700,6806/3613
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 6888/700,6806/3613, numerators are 6888,6806
Denominators are 700,3613
The GCF of 6888,6806 is 82 .
LCM of 700,3613 is 2529100.
The greatest common factor of 6888/700,6806/3613 = [GCF of 6888,6806]/[LCM of 700,3613]= 82/2529100
Therefore, the GCF of 6888/700,6806/3613 is 82/2529100.
To find the highest common factor of 6888,6806, we have to find the factors of both numbers and list the highest common factor.
The factors of 6888 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 41, 42, 56, 82, 84, 123, 164, 168, 246, 287, 328, 492, 574, 861, 984, 1148, 1722, 2296, 3444, 6888
The factors of 6806 are 1, 2, 41, 82, 83, 166, 3403, 6806
The HCF of 6888,6806 is 82.
Lets's calculate GCF of 6888,6806
| 2 | 6888, 6806 |
| 41 | 3444, 3403 |
| 84, 83 |
∴ So the GCF of the given numbers is 2 x 41 = 82
Greatest Common Factor of 6888,6806 By Matching Biggest Common Factor Method
Now, list down the factors of 6888
:1,2,3,4,6,7,8,12,14,21,24,28,41,42,56,82,84,123,164,168,246,287,328,492,574,861,984,1148,1722,2296,3444,6888
Now, list down the factors of 6806
:1,2,41,82,83,166,3403,6806
Greatest Common Factor
We found the factors 6888,6806 . The biggest common factor number is the GCF number.
So the greatest common factor 6888,6806 is 82.
Lets's calculate LCM of 700,3613
Given numbers has no common factors except 1. So, there LCM is their product i.e 2529100
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 82/2529100
Therefore, the GCF of Fractions 6888/700,6806/3613 is 82/2529100
Least Common Multiple of 700,3613 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 700,3613 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(700,3613) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(700,3613) x common factors =1 x 1 = 1
LCM(700,3613) = ( 700 × 3613 ) / 1
LCM(700,3613) = 2529100 / 1
LCM(700,3613) = 2529100
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FAQs on GCF of Fractions of 6888/700, 6806/3613
1. What is the HCF of 6888,6806?
The HCF of 6888,6806 is 82
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 6888/700, 6806/3613?
Answer: GCF of Numerators as per given numbers 6888/700, 6806/3613 is
GCF of Numerators i.e. for 6888,6806 is 82
LCM of denominators i.e. for 700,3613 is 2529100.
Thus, GCF of Fractions is 82/2529100.Finally, GCF of Fractions for 6888/700, 6806/3613 is 82/2529100.