GCF of 6878/378, 7383/6383
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6878/378, 7383/6383 i.e 1/2412774 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6878/378, 7383/6383.
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 6878/378,7383/6383?
Given fractions are 6878/378,7383/6383
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 6878/378,7383/6383, numerators are 6878,7383
Denominators are 378,6383
The GCF of 6878,7383 is 1 .
LCM of 378,6383 is 2412774.
The greatest common factor of 6878/378,7383/6383 = [GCF of 6878,7383]/[LCM of 378,6383]= 1/2412774
Therefore, the GCF of 6878/378,7383/6383 is 1/2412774.
To find the highest common factor of 6878,7383, we have to find the factors of both numbers and list the highest common factor.
The factors of 6878 are 1, 2, 19, 38, 181, 362, 3439, 6878
The factors of 7383 are 1, 3, 23, 69, 107, 321, 2461, 7383
The HCF of 6878,7383 is 1.
Lets's calculate GCF of 6878,7383
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6878,7383 By Matching Biggest Common Factor Method
Now, list down the factors of 6878
:1,2,19,38,181,362,3439,6878
Now, list down the factors of 7383
:1,3,23,69,107,321,2461,7383
Greatest Common Factor
We found the factors 6878,7383 . The biggest common factor number is the GCF number.
So the greatest common factor 6878,7383 is 1.
Lets's calculate LCM of 378,6383
Given numbers has no common factors except 1. So, there LCM is their product i.e 2412774
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2412774
Therefore, the GCF of Fractions 6878/378,7383/6383 is 1/2412774
Least Common Multiple of 378,6383 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 378,6383 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(378,6383) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(378,6383) x common factors =1 x 1 = 1
LCM(378,6383) = ( 378 × 6383 ) / 1
LCM(378,6383) = 2412774 / 1
LCM(378,6383) = 2412774
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FAQs on GCF of Fractions of 6878/378, 7383/6383
1. What is the HCF of 6878,7383?
The HCF of 6878,7383 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 6878/378, 7383/6383?
Answer: GCF of Numerators as per given numbers 6878/378, 7383/6383 is
GCF of Numerators i.e. for 6878,7383 is 1
LCM of denominators i.e. for 378,6383 is 2412774.
Thus, GCF of Fractions is 1/2412774.Finally, GCF of Fractions for 6878/378, 7383/6383 is 1/2412774.