GCF of 6878/853, 3893/4683
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6878/853, 3893/4683 i.e 1/3994599 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6878/853, 3893/4683.
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 6878/853,3893/4683?
Given fractions are 6878/853,3893/4683
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 6878/853,3893/4683, numerators are 6878,3893
Denominators are 853,4683
The GCF of 6878,3893 is 1 .
LCM of 853,4683 is 3994599.
The greatest common factor of 6878/853,3893/4683 = [GCF of 6878,3893]/[LCM of 853,4683]= 1/3994599
Therefore, the GCF of 6878/853,3893/4683 is 1/3994599.
To find the highest common factor of 6878,3893, 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 3893 are 1, 17, 229, 3893
The HCF of 6878,3893 is 1.
Lets's calculate GCF of 6878,3893
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6878,3893 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 3893
:1,17,229,3893
Greatest Common Factor
We found the factors 6878,3893 . The biggest common factor number is the GCF number.
So the greatest common factor 6878,3893 is 1.
Lets's calculate LCM of 853,4683
Given numbers has no common factors except 1. So, there LCM is their product i.e 3994599
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3994599
Therefore, the GCF of Fractions 6878/853,3893/4683 is 1/3994599
Least Common Multiple of 853,4683 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 853,4683 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(853,4683) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(853,4683) x common factors =1 x 1 = 1
LCM(853,4683) = ( 853 × 4683 ) / 1
LCM(853,4683) = 3994599 / 1
LCM(853,4683) = 3994599
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 6878/853, 3893/4683
1. What is the HCF of 6878,3893?
The HCF of 6878,3893 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 6878/853, 3893/4683?
Answer: GCF of Numerators as per given numbers 6878/853, 3893/4683 is
GCF of Numerators i.e. for 6878,3893 is 1
LCM of denominators i.e. for 853,4683 is 3994599.
Thus, GCF of Fractions is 1/3994599.Finally, GCF of Fractions for 6878/853, 3893/4683 is 1/3994599.