GCF of 2232/491, 1092/3115
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2232/491, 1092/3115 i.e 12/1529465 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2232/491, 1092/3115.
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 2232/491,1092/3115?
Given fractions are 2232/491,1092/3115
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 2232/491,1092/3115, numerators are 2232,1092
Denominators are 491,3115
The GCF of 2232,1092 is 12 .
LCM of 491,3115 is 1529465.
The greatest common factor of 2232/491,1092/3115 = [GCF of 2232,1092]/[LCM of 491,3115]= 12/1529465
Therefore, the GCF of 2232/491,1092/3115 is 12/1529465.
To find the highest common factor of 2232,1092, we have to find the factors of both numbers and list the highest common factor.
The factors of 2232 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 31, 36, 62, 72, 93, 124, 186, 248, 279, 372, 558, 744, 1116, 2232
The factors of 1092 are 1, 2, 3, 4, 6, 7, 12, 13, 14, 21, 26, 28, 39, 42, 52, 78, 84, 91, 156, 182, 273, 364, 546, 1092
The HCF of 2232,1092 is 12.
Lets's calculate GCF of 2232,1092
| 2 | 2232, 1092 |
| 2 | 1116, 546 |
| 3 | 558, 273 |
| 186, 91 |
∴ So the GCF of the given numbers is 2 x 2 x 3 = 12
Greatest Common Factor of 2232,1092 By Matching Biggest Common Factor Method
Now, list down the factors of 2232
:1,2,3,4,6,8,9,12,18,24,31,36,62,72,93,124,186,248,279,372,558,744,1116,2232
Now, list down the factors of 1092
:1,2,3,4,6,7,12,13,14,21,26,28,39,42,52,78,84,91,156,182,273,364,546,1092
Greatest Common Factor
We found the factors 2232,1092 . The biggest common factor number is the GCF number.
So the greatest common factor 2232,1092 is 12.
Lets's calculate LCM of 491,3115
Given numbers has no common factors except 1. So, there LCM is their product i.e 1529465
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/1529465
Therefore, the GCF of Fractions 2232/491,1092/3115 is 12/1529465
Least Common Multiple of 491,3115 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 491,3115 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(491,3115) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(491,3115) x common factors =1 x 1 = 1
LCM(491,3115) = ( 491 × 3115 ) / 1
LCM(491,3115) = 1529465 / 1
LCM(491,3115) = 1529465
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 2232/491, 1092/3115
1. What is the HCF of 2232,1092?
The HCF of 2232,1092 is 12
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 2232/491, 1092/3115?
Answer: GCF of Numerators as per given numbers 2232/491, 1092/3115 is
GCF of Numerators i.e. for 2232,1092 is 12
LCM of denominators i.e. for 491,3115 is 1529465.
Thus, GCF of Fractions is 12/1529465.Finally, GCF of Fractions for 2232/491, 1092/3115 is 12/1529465.