GCF of 9731/882, 6327/4891
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9731/882, 6327/4891 i.e 37/4313862 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9731/882, 6327/4891.
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 9731/882,6327/4891?
Given fractions are 9731/882,6327/4891
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 9731/882,6327/4891, numerators are 9731,6327
Denominators are 882,4891
The GCF of 9731,6327 is 37 .
LCM of 882,4891 is 4313862.
The greatest common factor of 9731/882,6327/4891 = [GCF of 9731,6327]/[LCM of 882,4891]= 37/4313862
Therefore, the GCF of 9731/882,6327/4891 is 37/4313862.
To find the highest common factor of 9731,6327, we have to find the factors of both numbers and list the highest common factor.
The factors of 9731 are 1, 37, 263, 9731
The factors of 6327 are 1, 3, 9, 19, 37, 57, 111, 171, 333, 703, 2109, 6327
The HCF of 9731,6327 is 37.
Lets's calculate GCF of 9731,6327
| 37 | 9731, 6327 |
| 263, 171 |
∴ So the GCF of the given numbers is 37 = 37
Greatest Common Factor of 9731,6327 By Matching Biggest Common Factor Method
Now, list down the factors of 9731
:1,37,263,9731
Now, list down the factors of 6327
:1,3,9,19,37,57,111,171,333,703,2109,6327
Greatest Common Factor
We found the factors 9731,6327 . The biggest common factor number is the GCF number.
So the greatest common factor 9731,6327 is 37.
Lets's calculate LCM of 882,4891
Given numbers has no common factors except 1. So, there LCM is their product i.e 4313862
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 37/4313862
Therefore, the GCF of Fractions 9731/882,6327/4891 is 37/4313862
Least Common Multiple of 882,4891 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 882,4891 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(882,4891) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(882,4891) x common factors =1 x 1 = 1
LCM(882,4891) = ( 882 × 4891 ) / 1
LCM(882,4891) = 4313862 / 1
LCM(882,4891) = 4313862
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FAQs on GCF of Fractions of 9731/882, 6327/4891
1. What is the HCF of 9731,6327?
The HCF of 9731,6327 is 37
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 9731/882, 6327/4891?
Answer: GCF of Numerators as per given numbers 9731/882, 6327/4891 is
GCF of Numerators i.e. for 9731,6327 is 37
LCM of denominators i.e. for 882,4891 is 4313862.
Thus, GCF of Fractions is 37/4313862.Finally, GCF of Fractions for 9731/882, 6327/4891 is 37/4313862.