GCF of 40/18, 960/64, 140/487
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 40/18, 960/64, 140/487 i.e 20/280512 easily. The following is the detailed procedure to determine the greatest common factor of fractions 40/18, 960/64, 140/487.
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 40/18,960/64,140/487?
Given fractions are 40/18,960/64,140/487
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 40/18,960/64,140/487, numerators are 40,960,140
Denominators are 18,64,487
The GCF of 40,960,140 is 20 .
LCM of 18,64,487 is 280512.
The greatest common factor of 40/18,960/64,140/487 = [GCF of 40,960,140]/[LCM of 18,64,487]= 20/280512
Therefore, the GCF of 40/18,960/64,140/487 is 20/280512.
To find the highest common factor of 40,960,140, we have to find the factors of both numbers and list the highest common factor.
The factors of 40 are 1, 2, 4, 5, 8, 10, 20, 40
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 factors of 140 are 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140
The HCF of 40,960,140 is 20.
Lets's calculate GCF of 40,960,140
| 2 | 40, 960, 140 |
| 2 | 20, 480, 70 |
| 5 | 10, 240, 35 |
| 2, 48, 7 |
∴ So the GCF of the given numbers is 2 x 2 x 5 = 20
Greatest Common Factor of 40,960,140 By Matching Biggest Common Factor Method
Now, list down the factors of 40
:1,2,4,5,8,10,20,40
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
Now, list down the factors of 140
:1,2,4,5,7,10,14,20,28,35,70,140
Greatest Common Factor
We found the factors 40,960,140 . The biggest common factor number is the GCF number.
So the greatest common factor 40,960,140 is 20.
Lets's calculate LCM of 18,64,487
| 2 | 18, 64, 487 |
| 9, 32, 487 |
∴ So the LCM of the given numbers is 2 x 9 x 32 x 487 = 280512
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 20/280512
Therefore, the GCF of Fractions 40/18,960/64,140/487 is 20/280512
Least Common Multiple of 18,64,487 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 18,64,487 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(18,64,487) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(18,64,487) x common factors =1 x 2 = 2
LCM(18,64,487) = ( 18 × 64 × 487 ) / 2
LCM(18,64,487) = 561024 / 2
LCM(18,64,487) = 280512
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 40/18, 960/64, 140/487
1. What is the HCF of 40,960,140?
The HCF of 40,960,140 is 20
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 40/18, 960/64, 140/487?
Answer: GCF of Numerators as per given numbers 40/18, 960/64, 140/487 is
GCF of Numerators i.e. for 40,960,140 is 20
LCM of denominators i.e. for 18,64,487 is 280512.
Thus, GCF of Fractions is 20/280512.Finally, GCF of Fractions for 40/18, 960/64, 140/487 is 20/280512.