GCF of 6808/678, 7743/5871
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6808/678, 7743/5871 i.e 1/1326846 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6808/678, 7743/5871.
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 6808/678,7743/5871?
Given fractions are 6808/678,7743/5871
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 6808/678,7743/5871, numerators are 6808,7743
Denominators are 678,5871
The GCF of 6808,7743 is 1 .
LCM of 678,5871 is 1326846.
The greatest common factor of 6808/678,7743/5871 = [GCF of 6808,7743]/[LCM of 678,5871]= 1/1326846
Therefore, the GCF of 6808/678,7743/5871 is 1/1326846.
To find the highest common factor of 6808,7743, we have to find the factors of both numbers and list the highest common factor.
The factors of 6808 are 1, 2, 4, 8, 23, 37, 46, 74, 92, 148, 184, 296, 851, 1702, 3404, 6808
The factors of 7743 are 1, 3, 29, 87, 89, 267, 2581, 7743
The HCF of 6808,7743 is 1.
Lets's calculate GCF of 6808,7743
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6808,7743 By Matching Biggest Common Factor Method
Now, list down the factors of 6808
:1,2,4,8,23,37,46,74,92,148,184,296,851,1702,3404,6808
Now, list down the factors of 7743
:1,3,29,87,89,267,2581,7743
Greatest Common Factor
We found the factors 6808,7743 . The biggest common factor number is the GCF number.
So the greatest common factor 6808,7743 is 1.
Lets's calculate LCM of 678,5871
| 3 | 678, 5871 |
| 226, 1957 |
∴ So the LCM of the given numbers is 3 x 226 x 1957 = 1326846
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1326846
Therefore, the GCF of Fractions 6808/678,7743/5871 is 1/1326846
Least Common Multiple of 678,5871 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 678,5871 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(678,5871) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(678,5871) x common factors =3 x 1 = 3
LCM(678,5871) = ( 678 × 5871 ) / 3
LCM(678,5871) = 3980538 / 3
LCM(678,5871) = 1326846
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FAQs on GCF of Fractions of 6808/678, 7743/5871
1. What is the HCF of 6808,7743?
The HCF of 6808,7743 is 1
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 6808/678, 7743/5871?
Answer: GCF of Numerators as per given numbers 6808/678, 7743/5871 is
GCF of Numerators i.e. for 6808,7743 is 1
LCM of denominators i.e. for 678,5871 is 1326846.
Thus, GCF of Fractions is 1/1326846.Finally, GCF of Fractions for 6808/678, 7743/5871 is 1/1326846.