GCF of 3921/269, 6878/159
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3921/269, 6878/159 i.e 1/42771 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3921/269, 6878/159.
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 3921/269,6878/159?
Given fractions are 3921/269,6878/159
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 3921/269,6878/159, numerators are 3921,6878
Denominators are 269,159
The GCF of 3921,6878 is 1 .
LCM of 269,159 is 42771.
The greatest common factor of 3921/269,6878/159 = [GCF of 3921,6878]/[LCM of 269,159]= 1/42771
Therefore, the GCF of 3921/269,6878/159 is 1/42771.
To find the highest common factor of 3921,6878, we have to find the factors of both numbers and list the highest common factor.
The factors of 3921 are 1, 3, 1307, 3921
The factors of 6878 are 1, 2, 19, 38, 181, 362, 3439, 6878
The HCF of 3921,6878 is 1.
Lets's calculate GCF of 3921,6878
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3921,6878 By Matching Biggest Common Factor Method
Now, list down the factors of 3921
:1,3,1307,3921
Now, list down the factors of 6878
:1,2,19,38,181,362,3439,6878
Greatest Common Factor
We found the factors 3921,6878 . The biggest common factor number is the GCF number.
So the greatest common factor 3921,6878 is 1.
Lets's calculate LCM of 269,159
Given numbers has no common factors except 1. So, there LCM is their product i.e 42771
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/42771
Therefore, the GCF of Fractions 3921/269,6878/159 is 1/42771
Least Common Multiple of 269,159 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 269,159 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(269,159) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(269,159) x common factors =1 x 1 = 1
LCM(269,159) = ( 269 × 159 ) / 1
LCM(269,159) = 42771 / 1
LCM(269,159) = 42771
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 3921/269, 6878/159
1. What is the HCF of 3921,6878?
The HCF of 3921,6878 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 3921/269, 6878/159?
Answer: GCF of Numerators as per given numbers 3921/269, 6878/159 is
GCF of Numerators i.e. for 3921,6878 is 1
LCM of denominators i.e. for 269,159 is 42771.
Thus, GCF of Fractions is 1/42771.Finally, GCF of Fractions for 3921/269, 6878/159 is 1/42771.