GCF of 4878/403, 6878/7667
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4878/403, 6878/7667 i.e 2/3089801 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4878/403, 6878/7667.
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 4878/403,6878/7667?
Given fractions are 4878/403,6878/7667
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 4878/403,6878/7667, numerators are 4878,6878
Denominators are 403,7667
The GCF of 4878,6878 is 2 .
LCM of 403,7667 is 3089801.
The greatest common factor of 4878/403,6878/7667 = [GCF of 4878,6878]/[LCM of 403,7667]= 2/3089801
Therefore, the GCF of 4878/403,6878/7667 is 2/3089801.
To find the highest common factor of 4878,6878, we have to find the factors of both numbers and list the highest common factor.
The factors of 4878 are 1, 2, 3, 6, 9, 18, 271, 542, 813, 1626, 2439, 4878
The factors of 6878 are 1, 2, 19, 38, 181, 362, 3439, 6878
The HCF of 4878,6878 is 2.
Lets's calculate GCF of 4878,6878
| 2 | 4878, 6878 |
| 2439, 3439 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 4878,6878 By Matching Biggest Common Factor Method
Now, list down the factors of 4878
:1,2,3,6,9,18,271,542,813,1626,2439,4878
Now, list down the factors of 6878
:1,2,19,38,181,362,3439,6878
Greatest Common Factor
We found the factors 4878,6878 . The biggest common factor number is the GCF number.
So the greatest common factor 4878,6878 is 2.
Lets's calculate LCM of 403,7667
Given numbers has no common factors except 1. So, there LCM is their product i.e 3089801
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3089801
Therefore, the GCF of Fractions 4878/403,6878/7667 is 2/3089801
Least Common Multiple of 403,7667 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 403,7667 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(403,7667) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(403,7667) x common factors =1 x 1 = 1
LCM(403,7667) = ( 403 × 7667 ) / 1
LCM(403,7667) = 3089801 / 1
LCM(403,7667) = 3089801
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FAQs on GCF of Fractions of 4878/403, 6878/7667
1. What is the HCF of 4878,6878?
The HCF of 4878,6878 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 4878/403, 6878/7667?
Answer: GCF of Numerators as per given numbers 4878/403, 6878/7667 is
GCF of Numerators i.e. for 4878,6878 is 2
LCM of denominators i.e. for 403,7667 is 3089801.
Thus, GCF of Fractions is 2/3089801.Finally, GCF of Fractions for 4878/403, 6878/7667 is 2/3089801.