GCF of 5326/153, 3126/2739
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5326/153, 3126/2739 i.e 2/139689 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5326/153, 3126/2739.
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 5326/153,3126/2739?
Given fractions are 5326/153,3126/2739
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 5326/153,3126/2739, numerators are 5326,3126
Denominators are 153,2739
The GCF of 5326,3126 is 2 .
LCM of 153,2739 is 139689.
The greatest common factor of 5326/153,3126/2739 = [GCF of 5326,3126]/[LCM of 153,2739]= 2/139689
Therefore, the GCF of 5326/153,3126/2739 is 2/139689.
To find the highest common factor of 5326,3126, we have to find the factors of both numbers and list the highest common factor.
The factors of 5326 are 1, 2, 2663, 5326
The factors of 3126 are 1, 2, 3, 6, 521, 1042, 1563, 3126
The HCF of 5326,3126 is 2.
Lets's calculate GCF of 5326,3126
| 2 | 5326, 3126 |
| 2663, 1563 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 5326,3126 By Matching Biggest Common Factor Method
Now, list down the factors of 5326
:1,2,2663,5326
Now, list down the factors of 3126
:1,2,3,6,521,1042,1563,3126
Greatest Common Factor
We found the factors 5326,3126 . The biggest common factor number is the GCF number.
So the greatest common factor 5326,3126 is 2.
Lets's calculate LCM of 153,2739
| 3 | 153, 2739 |
| 51, 913 |
∴ So the LCM of the given numbers is 3 x 51 x 913 = 139689
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/139689
Therefore, the GCF of Fractions 5326/153,3126/2739 is 2/139689
Least Common Multiple of 153,2739 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 153,2739 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(153,2739) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(153,2739) x common factors =3 x 1 = 3
LCM(153,2739) = ( 153 × 2739 ) / 3
LCM(153,2739) = 419067 / 3
LCM(153,2739) = 139689
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 5326/153, 3126/2739
1. What is the HCF of 5326,3126?
The HCF of 5326,3126 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 5326/153, 3126/2739?
Answer: GCF of Numerators as per given numbers 5326/153, 3126/2739 is
GCF of Numerators i.e. for 5326,3126 is 2
LCM of denominators i.e. for 153,2739 is 139689.
Thus, GCF of Fractions is 2/139689.Finally, GCF of Fractions for 5326/153, 3126/2739 is 2/139689.