GCF of 2201/810, 9331/7572
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2201/810, 9331/7572 i.e 31/1022220 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2201/810, 9331/7572.
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 2201/810,9331/7572?
Given fractions are 2201/810,9331/7572
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 2201/810,9331/7572, numerators are 2201,9331
Denominators are 810,7572
The GCF of 2201,9331 is 31 .
LCM of 810,7572 is 1022220.
The greatest common factor of 2201/810,9331/7572 = [GCF of 2201,9331]/[LCM of 810,7572]= 31/1022220
Therefore, the GCF of 2201/810,9331/7572 is 31/1022220.
To find the highest common factor of 2201,9331, we have to find the factors of both numbers and list the highest common factor.
The factors of 2201 are 1, 31, 71, 2201
The factors of 9331 are 1, 7, 31, 43, 217, 301, 1333, 9331
The HCF of 2201,9331 is 31.
Lets's calculate GCF of 2201,9331
| 31 | 2201, 9331 |
| 71, 301 |
∴ So the GCF of the given numbers is 31 = 31
Greatest Common Factor of 2201,9331 By Matching Biggest Common Factor Method
Now, list down the factors of 2201
:1,31,71,2201
Now, list down the factors of 9331
:1,7,31,43,217,301,1333,9331
Greatest Common Factor
We found the factors 2201,9331 . The biggest common factor number is the GCF number.
So the greatest common factor 2201,9331 is 31.
Lets's calculate LCM of 810,7572
| 2 | 810, 7572 |
| 3 | 405, 3786 |
| 135, 1262 |
∴ So the LCM of the given numbers is 2 x 3 x 135 x 1262 = 1022220
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 31/1022220
Therefore, the GCF of Fractions 2201/810,9331/7572 is 31/1022220
Least Common Multiple of 810,7572 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 810,7572 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(810,7572) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(810,7572) x common factors =6 x 1 = 6
LCM(810,7572) = ( 810 × 7572 ) / 6
LCM(810,7572) = 6133320 / 6
LCM(810,7572) = 1022220
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FAQs on GCF of Fractions of 2201/810, 9331/7572
1. What is the HCF of 2201,9331?
The HCF of 2201,9331 is 31
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 2201/810, 9331/7572?
Answer: GCF of Numerators as per given numbers 2201/810, 9331/7572 is
GCF of Numerators i.e. for 2201,9331 is 31
LCM of denominators i.e. for 810,7572 is 1022220.
Thus, GCF of Fractions is 31/1022220.Finally, GCF of Fractions for 2201/810, 9331/7572 is 31/1022220.