GCF of 32/780, 80/750, 320/470
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 32/780, 80/750, 320/470 i.e 16/916500 easily. The following is the detailed procedure to determine the greatest common factor of fractions 32/780, 80/750, 320/470.
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 32/780,80/750,320/470?
Given fractions are 32/780,80/750,320/470
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 32/780,80/750,320/470, numerators are 32,80,320
Denominators are 780,750,470
The GCF of 32,80,320 is 16 .
LCM of 780,750,470 is 916500.
The greatest common factor of 32/780,80/750,320/470 = [GCF of 32,80,320]/[LCM of 780,750,470]= 16/916500
Therefore, the GCF of 32/780,80/750,320/470 is 16/916500.
To find the highest common factor of 32,80,320, we have to find the factors of both numbers and list the highest common factor.
The factors of 32 are 1, 2, 4, 8, 16, 32
The factors of 80 are 1, 2, 4, 5, 8, 10, 16, 20, 40, 80
The factors of 320 are 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320
The HCF of 32,80,320 is 16.
Lets's calculate GCF of 32,80,320
| 2 | 32, 80, 320 |
| 2 | 16, 40, 160 |
| 2 | 8, 20, 80 |
| 2 | 4, 10, 40 |
| 2, 5, 20 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16
Greatest Common Factor of 32,80,320 By Matching Biggest Common Factor Method
Now, list down the factors of 32
:1,2,4,8,16,32
Now, list down the factors of 80
:1,2,4,5,8,10,16,20,40,80
Now, list down the factors of 320
:1,2,4,5,8,10,16,20,32,40,64,80,160,320
Greatest Common Factor
We found the factors 32,80,320 . The biggest common factor number is the GCF number.
So the greatest common factor 32,80,320 is 16.
Lets's calculate LCM of 780,750,470
| 2 | 780, 750, 470 |
| 3 | 390, 375, 235 |
| 5 | 130, 125, 235 |
| 26, 25, 47 |
∴ So the LCM of the given numbers is 2 x 3 x 5 x 26 x 25 x 47 = 916500
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 16/916500
Therefore, the GCF of Fractions 32/780,80/750,320/470 is 16/916500
Least Common Multiple of 780,750,470 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 780,750,470 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(780,750,470) = 10
common factors(in case of two or more numbers have common factors) = 30
GCF(780,750,470) x common factors =10 x 30 = 300
LCM(780,750,470) = ( 780 × 750 × 470 ) / 300
LCM(780,750,470) = 274950000 / 300
LCM(780,750,470) = 916500
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FAQs on GCF of Fractions of 32/780, 80/750, 320/470
1. What is the HCF of 32,80,320?
The HCF of 32,80,320 is 16
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 32/780, 80/750, 320/470?
Answer: GCF of Numerators as per given numbers 32/780, 80/750, 320/470 is
GCF of Numerators i.e. for 32,80,320 is 16
LCM of denominators i.e. for 780,750,470 is 916500.
Thus, GCF of Fractions is 16/916500.Finally, GCF of Fractions for 32/780, 80/750, 320/470 is 16/916500.