GCF of 5028/315, 7176/1497
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5028/315, 7176/1497 i.e 12/157185 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5028/315, 7176/1497.
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 5028/315,7176/1497?
Given fractions are 5028/315,7176/1497
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 5028/315,7176/1497, numerators are 5028,7176
Denominators are 315,1497
The GCF of 5028,7176 is 12 .
LCM of 315,1497 is 157185.
The greatest common factor of 5028/315,7176/1497 = [GCF of 5028,7176]/[LCM of 315,1497]= 12/157185
Therefore, the GCF of 5028/315,7176/1497 is 12/157185.
To find the highest common factor of 5028,7176, we have to find the factors of both numbers and list the highest common factor.
The factors of 5028 are 1, 2, 3, 4, 6, 12, 419, 838, 1257, 1676, 2514, 5028
The factors of 7176 are 1, 2, 3, 4, 6, 8, 12, 13, 23, 24, 26, 39, 46, 52, 69, 78, 92, 104, 138, 156, 184, 276, 299, 312, 552, 598, 897, 1196, 1794, 2392, 3588, 7176
The HCF of 5028,7176 is 12.
Lets's calculate GCF of 5028,7176
| 2 | 5028, 7176 |
| 2 | 2514, 3588 |
| 3 | 1257, 1794 |
| 419, 598 |
∴ So the GCF of the given numbers is 2 x 2 x 3 = 12
Greatest Common Factor of 5028,7176 By Matching Biggest Common Factor Method
Now, list down the factors of 5028
:1,2,3,4,6,12,419,838,1257,1676,2514,5028
Now, list down the factors of 7176
:1,2,3,4,6,8,12,13,23,24,26,39,46,52,69,78,92,104,138,156,184,276,299,312,552,598,897,1196,1794,2392,3588,7176
Greatest Common Factor
We found the factors 5028,7176 . The biggest common factor number is the GCF number.
So the greatest common factor 5028,7176 is 12.
Lets's calculate LCM of 315,1497
| 3 | 315, 1497 |
| 105, 499 |
∴ So the LCM of the given numbers is 3 x 105 x 499 = 157185
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/157185
Therefore, the GCF of Fractions 5028/315,7176/1497 is 12/157185
Least Common Multiple of 315,1497 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 315,1497 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(315,1497) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(315,1497) x common factors =3 x 1 = 3
LCM(315,1497) = ( 315 × 1497 ) / 3
LCM(315,1497) = 471555 / 3
LCM(315,1497) = 157185
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 5028/315, 7176/1497
1. What is the HCF of 5028,7176?
The HCF of 5028,7176 is 12
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 5028/315, 7176/1497?
Answer: GCF of Numerators as per given numbers 5028/315, 7176/1497 is
GCF of Numerators i.e. for 5028,7176 is 12
LCM of denominators i.e. for 315,1497 is 157185.
Thus, GCF of Fractions is 12/157185.Finally, GCF of Fractions for 5028/315, 7176/1497 is 12/157185.