GCF of 9322/271, 6431/349
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9322/271, 6431/349 i.e 59/94579 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9322/271, 6431/349.
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 9322/271,6431/349?
Given fractions are 9322/271,6431/349
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 9322/271,6431/349, numerators are 9322,6431
Denominators are 271,349
The GCF of 9322,6431 is 59 .
LCM of 271,349 is 94579.
The greatest common factor of 9322/271,6431/349 = [GCF of 9322,6431]/[LCM of 271,349]= 59/94579
Therefore, the GCF of 9322/271,6431/349 is 59/94579.
To find the highest common factor of 9322,6431, we have to find the factors of both numbers and list the highest common factor.
The factors of 9322 are 1, 2, 59, 79, 118, 158, 4661, 9322
The factors of 6431 are 1, 59, 109, 6431
The HCF of 9322,6431 is 59.
Lets's calculate GCF of 9322,6431
| 59 | 9322, 6431 |
| 158, 109 |
∴ So the GCF of the given numbers is 59 = 59
Greatest Common Factor of 9322,6431 By Matching Biggest Common Factor Method
Now, list down the factors of 9322
:1,2,59,79,118,158,4661,9322
Now, list down the factors of 6431
:1,59,109,6431
Greatest Common Factor
We found the factors 9322,6431 . The biggest common factor number is the GCF number.
So the greatest common factor 9322,6431 is 59.
Lets's calculate LCM of 271,349
Given numbers has no common factors except 1. So, there LCM is their product i.e 94579
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 59/94579
Therefore, the GCF of Fractions 9322/271,6431/349 is 59/94579
Least Common Multiple of 271,349 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 271,349 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(271,349) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(271,349) x common factors =1 x 1 = 1
LCM(271,349) = ( 271 × 349 ) / 1
LCM(271,349) = 94579 / 1
LCM(271,349) = 94579
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FAQs on GCF of Fractions of 9322/271, 6431/349
1. What is the HCF of 9322,6431?
The HCF of 9322,6431 is 59
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 9322/271, 6431/349?
Answer: GCF of Numerators as per given numbers 9322/271, 6431/349 is
GCF of Numerators i.e. for 9322,6431 is 59
LCM of denominators i.e. for 271,349 is 94579.
Thus, GCF of Fractions is 59/94579.Finally, GCF of Fractions for 9322/271, 6431/349 is 59/94579.