GCF of 543/750, 960/460
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 543/750, 960/460 i.e 3/34500 easily. The following is the detailed procedure to determine the greatest common factor of fractions 543/750, 960/460.
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 543/750,960/460?
Given fractions are 543/750,960/460
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 543/750,960/460, numerators are 543,960
Denominators are 750,460
The GCF of 543,960 is 3 .
LCM of 750,460 is 34500.
The greatest common factor of 543/750,960/460 = [GCF of 543,960]/[LCM of 750,460]= 3/34500
Therefore, the GCF of 543/750,960/460 is 3/34500.
To find the highest common factor of 543,960, we have to find the factors of both numbers and list the highest common factor.
The factors of 543 are 1, 3, 181, 543
The factors of 960 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960
The HCF of 543,960 is 3.
Lets's calculate GCF of 543,960
| 3 | 543, 960 |
| 181, 320 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 543,960 By Matching Biggest Common Factor Method
Now, list down the factors of 543
:1,3,181,543
Now, list down the factors of 960
:1,2,3,4,5,6,8,10,12,15,16,20,24,30,32,40,48,60,64,80,96,120,160,192,240,320,480,960
Greatest Common Factor
We found the factors 543,960 . The biggest common factor number is the GCF number.
So the greatest common factor 543,960 is 3.
Lets's calculate LCM of 750,460
| 2 | 750, 460 |
| 5 | 375, 230 |
| 75, 46 |
∴ So the LCM of the given numbers is 2 x 5 x 75 x 46 = 34500
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/34500
Therefore, the GCF of Fractions 543/750,960/460 is 3/34500
Least Common Multiple of 750,460 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 750,460 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(750,460) = 10
common factors(in case of two or more numbers have common factors) = 1
GCF(750,460) x common factors =10 x 1 = 10
LCM(750,460) = ( 750 × 460 ) / 10
LCM(750,460) = 345000 / 10
LCM(750,460) = 34500
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 543/750, 960/460
1. What is the HCF of 543,960?
The HCF of 543,960 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 543/750, 960/460?
Answer: GCF of Numerators as per given numbers 543/750, 960/460 is
GCF of Numerators i.e. for 543,960 is 3
LCM of denominators i.e. for 750,460 is 34500.
Thus, GCF of Fractions is 3/34500.Finally, GCF of Fractions for 543/750, 960/460 is 3/34500.