GCF of 320/136, 960/771
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 320/136, 960/771 i.e 320/104856 easily. The following is the detailed procedure to determine the greatest common factor of fractions 320/136, 960/771.
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 320/136,960/771?
Given fractions are 320/136,960/771
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 320/136,960/771, numerators are 320,960
Denominators are 136,771
The GCF of 320,960 is 320 .
LCM of 136,771 is 104856.
The greatest common factor of 320/136,960/771 = [GCF of 320,960]/[LCM of 136,771]= 320/104856
Therefore, the GCF of 320/136,960/771 is 320/104856.
To find the highest common factor of 320,960, we have to find the factors of both numbers and list the highest common factor.
The factors of 320 are 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320
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 320,960 is 320.
Lets's calculate GCF of 320,960
| 2 | 320, 960 |
| 2 | 160, 480 |
| 2 | 80, 240 |
| 2 | 40, 120 |
| 2 | 20, 60 |
| 2 | 10, 30 |
| 5 | 5, 15 |
| 1, 3 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 x 2 x 2 x 5 = 320
Greatest Common Factor of 320,960 By Matching Biggest Common Factor Method
Now, list down the factors of 320
:1,2,4,5,8,10,16,20,32,40,64,80,160,320
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 320,960 . The biggest common factor number is the GCF number.
So the greatest common factor 320,960 is 320.
Lets's calculate LCM of 136,771
Given numbers has no common factors except 1. So, there LCM is their product i.e 104856
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 320/104856
Therefore, the GCF of Fractions 320/136,960/771 is 320/104856
Least Common Multiple of 136,771 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 136,771 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(136,771) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(136,771) x common factors =1 x 1 = 1
LCM(136,771) = ( 136 × 771 ) / 1
LCM(136,771) = 104856 / 1
LCM(136,771) = 104856
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FAQs on GCF of Fractions of 320/136, 960/771
1. What is the HCF of 320,960?
The HCF of 320,960 is 320
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 320/136, 960/771?
Answer: GCF of Numerators as per given numbers 320/136, 960/771 is
GCF of Numerators i.e. for 320,960 is 320
LCM of denominators i.e. for 136,771 is 104856.
Thus, GCF of Fractions is 320/104856.Finally, GCF of Fractions for 320/136, 960/771 is 320/104856.