GCF of 5154/140, 8019/2742
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5154/140, 8019/2742 i.e 3/191940 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5154/140, 8019/2742.
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 5154/140,8019/2742?
Given fractions are 5154/140,8019/2742
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 5154/140,8019/2742, numerators are 5154,8019
Denominators are 140,2742
The GCF of 5154,8019 is 3 .
LCM of 140,2742 is 191940.
The greatest common factor of 5154/140,8019/2742 = [GCF of 5154,8019]/[LCM of 140,2742]= 3/191940
Therefore, the GCF of 5154/140,8019/2742 is 3/191940.
To find the highest common factor of 5154,8019, we have to find the factors of both numbers and list the highest common factor.
The factors of 5154 are 1, 2, 3, 6, 859, 1718, 2577, 5154
The factors of 8019 are 1, 3, 9, 11, 27, 33, 81, 99, 243, 297, 729, 891, 2673, 8019
The HCF of 5154,8019 is 3.
Lets's calculate GCF of 5154,8019
| 3 | 5154, 8019 |
| 1718, 2673 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 5154,8019 By Matching Biggest Common Factor Method
Now, list down the factors of 5154
:1,2,3,6,859,1718,2577,5154
Now, list down the factors of 8019
:1,3,9,11,27,33,81,99,243,297,729,891,2673,8019
Greatest Common Factor
We found the factors 5154,8019 . The biggest common factor number is the GCF number.
So the greatest common factor 5154,8019 is 3.
Lets's calculate LCM of 140,2742
| 2 | 140, 2742 |
| 70, 1371 |
∴ So the LCM of the given numbers is 2 x 70 x 1371 = 191940
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/191940
Therefore, the GCF of Fractions 5154/140,8019/2742 is 3/191940
Least Common Multiple of 140,2742 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 140,2742 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(140,2742) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(140,2742) x common factors =2 x 1 = 2
LCM(140,2742) = ( 140 × 2742 ) / 2
LCM(140,2742) = 383880 / 2
LCM(140,2742) = 191940
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 5154/140, 8019/2742
1. What is the HCF of 5154,8019?
The HCF of 5154,8019 is 3
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 5154/140, 8019/2742?
Answer: GCF of Numerators as per given numbers 5154/140, 8019/2742 is
GCF of Numerators i.e. for 5154,8019 is 3
LCM of denominators i.e. for 140,2742 is 191940.
Thus, GCF of Fractions is 3/191940.Finally, GCF of Fractions for 5154/140, 8019/2742 is 3/191940.