GCF of 7152/760, 5340/596
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7152/760, 5340/596 i.e 12/113240 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7152/760, 5340/596.
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 7152/760,5340/596?
Given fractions are 7152/760,5340/596
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 7152/760,5340/596, numerators are 7152,5340
Denominators are 760,596
The GCF of 7152,5340 is 12 .
LCM of 760,596 is 113240.
The greatest common factor of 7152/760,5340/596 = [GCF of 7152,5340]/[LCM of 760,596]= 12/113240
Therefore, the GCF of 7152/760,5340/596 is 12/113240.
To find the highest common factor of 7152,5340, we have to find the factors of both numbers and list the highest common factor.
The factors of 7152 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 149, 298, 447, 596, 894, 1192, 1788, 2384, 3576, 7152
The factors of 5340 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 89, 178, 267, 356, 445, 534, 890, 1068, 1335, 1780, 2670, 5340
The HCF of 7152,5340 is 12.
Lets's calculate GCF of 7152,5340
| 2 | 7152, 5340 |
| 2 | 3576, 2670 |
| 3 | 1788, 1335 |
| 596, 445 |
∴ So the GCF of the given numbers is 2 x 2 x 3 = 12
Greatest Common Factor of 7152,5340 By Matching Biggest Common Factor Method
Now, list down the factors of 7152
:1,2,3,4,6,8,12,16,24,48,149,298,447,596,894,1192,1788,2384,3576,7152
Now, list down the factors of 5340
:1,2,3,4,5,6,10,12,15,20,30,60,89,178,267,356,445,534,890,1068,1335,1780,2670,5340
Greatest Common Factor
We found the factors 7152,5340 . The biggest common factor number is the GCF number.
So the greatest common factor 7152,5340 is 12.
Lets's calculate LCM of 760,596
| 2 | 760, 596 |
| 2 | 380, 298 |
| 190, 149 |
∴ So the LCM of the given numbers is 2 x 2 x 190 x 149 = 113240
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/113240
Therefore, the GCF of Fractions 7152/760,5340/596 is 12/113240
Least Common Multiple of 760,596 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 760,596 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(760,596) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(760,596) x common factors =4 x 1 = 4
LCM(760,596) = ( 760 × 596 ) / 4
LCM(760,596) = 452960 / 4
LCM(760,596) = 113240
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 7152/760, 5340/596
1. What is the HCF of 7152,5340?
The HCF of 7152,5340 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 7152/760, 5340/596?
Answer: GCF of Numerators as per given numbers 7152/760, 5340/596 is
GCF of Numerators i.e. for 7152,5340 is 12
LCM of denominators i.e. for 760,596 is 113240.
Thus, GCF of Fractions is 12/113240.Finally, GCF of Fractions for 7152/760, 5340/596 is 12/113240.