GCF of 9571/438, 1394/6457
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9571/438, 1394/6457 i.e 17/2828166 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9571/438, 1394/6457.
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 9571/438,1394/6457?
Given fractions are 9571/438,1394/6457
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 9571/438,1394/6457, numerators are 9571,1394
Denominators are 438,6457
The GCF of 9571,1394 is 17 .
LCM of 438,6457 is 2828166.
The greatest common factor of 9571/438,1394/6457 = [GCF of 9571,1394]/[LCM of 438,6457]= 17/2828166
Therefore, the GCF of 9571/438,1394/6457 is 17/2828166.
To find the highest common factor of 9571,1394, we have to find the factors of both numbers and list the highest common factor.
The factors of 9571 are 1, 17, 563, 9571
The factors of 1394 are 1, 2, 17, 34, 41, 82, 697, 1394
The HCF of 9571,1394 is 17.
Lets's calculate GCF of 9571,1394
| 17 | 9571, 1394 |
| 563, 82 |
∴ So the GCF of the given numbers is 17 = 17
Greatest Common Factor of 9571,1394 By Matching Biggest Common Factor Method
Now, list down the factors of 9571
:1,17,563,9571
Now, list down the factors of 1394
:1,2,17,34,41,82,697,1394
Greatest Common Factor
We found the factors 9571,1394 . The biggest common factor number is the GCF number.
So the greatest common factor 9571,1394 is 17.
Lets's calculate LCM of 438,6457
Given numbers has no common factors except 1. So, there LCM is their product i.e 2828166
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 17/2828166
Therefore, the GCF of Fractions 9571/438,1394/6457 is 17/2828166
Least Common Multiple of 438,6457 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 438,6457 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(438,6457) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(438,6457) x common factors =1 x 1 = 1
LCM(438,6457) = ( 438 × 6457 ) / 1
LCM(438,6457) = 2828166 / 1
LCM(438,6457) = 2828166
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FAQs on GCF of Fractions of 9571/438, 1394/6457
1. What is the HCF of 9571,1394?
The HCF of 9571,1394 is 17
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 9571/438, 1394/6457?
Answer: GCF of Numerators as per given numbers 9571/438, 1394/6457 is
GCF of Numerators i.e. for 9571,1394 is 17
LCM of denominators i.e. for 438,6457 is 2828166.
Thus, GCF of Fractions is 17/2828166.Finally, GCF of Fractions for 9571/438, 1394/6457 is 17/2828166.