GCF of 866/590, 401/160
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 866/590, 401/160 i.e 1/9440 easily. The following is the detailed procedure to determine the greatest common factor of fractions 866/590, 401/160.
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 866/590,401/160?
Given fractions are 866/590,401/160
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 866/590,401/160, numerators are 866,401
Denominators are 590,160
The GCF of 866,401 is 1 .
LCM of 590,160 is 9440.
The greatest common factor of 866/590,401/160 = [GCF of 866,401]/[LCM of 590,160]= 1/9440
Therefore, the GCF of 866/590,401/160 is 1/9440.
To find the highest common factor of 866,401, we have to find the factors of both numbers and list the highest common factor.
The factors of 866 are 1, 2, 433, 866
The factors of 401 are 1, 401
The HCF of 866,401 is 1.
Lets's calculate GCF of 866,401
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 866,401 By Matching Biggest Common Factor Method
Now, list down the factors of 866
:1,2,433,866
Now, list down the factors of 401
:1,401
Greatest Common Factor
We found the factors 866,401 . The biggest common factor number is the GCF number.
So the greatest common factor 866,401 is 1.
Lets's calculate LCM of 590,160
| 2 | 590, 160 |
| 5 | 295, 80 |
| 59, 16 |
∴ So the LCM of the given numbers is 2 x 5 x 59 x 16 = 9440
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9440
Therefore, the GCF of Fractions 866/590,401/160 is 1/9440
Least Common Multiple of 590,160 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 590,160 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(590,160) = 10
common factors(in case of two or more numbers have common factors) = 1
GCF(590,160) x common factors =10 x 1 = 10
LCM(590,160) = ( 590 × 160 ) / 10
LCM(590,160) = 94400 / 10
LCM(590,160) = 9440
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FAQs on GCF of Fractions of 866/590, 401/160
1. What is the HCF of 866,401?
The HCF of 866,401 is 1
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 866/590, 401/160?
Answer: GCF of Numerators as per given numbers 866/590, 401/160 is
GCF of Numerators i.e. for 866,401 is 1
LCM of denominators i.e. for 590,160 is 9440.
Thus, GCF of Fractions is 1/9440.Finally, GCF of Fractions for 866/590, 401/160 is 1/9440.