GCF of 1145/216, 2196/1884
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1145/216, 2196/1884 i.e 1/33912 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1145/216, 2196/1884.
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 1145/216,2196/1884?
Given fractions are 1145/216,2196/1884
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 1145/216,2196/1884, numerators are 1145,2196
Denominators are 216,1884
The GCF of 1145,2196 is 1 .
LCM of 216,1884 is 33912.
The greatest common factor of 1145/216,2196/1884 = [GCF of 1145,2196]/[LCM of 216,1884]= 1/33912
Therefore, the GCF of 1145/216,2196/1884 is 1/33912.
To find the highest common factor of 1145,2196, we have to find the factors of both numbers and list the highest common factor.
The factors of 1145 are 1, 5, 229, 1145
The factors of 2196 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 61, 122, 183, 244, 366, 549, 732, 1098, 2196
The HCF of 1145,2196 is 1.
Lets's calculate GCF of 1145,2196
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1145,2196 By Matching Biggest Common Factor Method
Now, list down the factors of 1145
:1,5,229,1145
Now, list down the factors of 2196
:1,2,3,4,6,9,12,18,36,61,122,183,244,366,549,732,1098,2196
Greatest Common Factor
We found the factors 1145,2196 . The biggest common factor number is the GCF number.
So the greatest common factor 1145,2196 is 1.
Lets's calculate LCM of 216,1884
| 2 | 216, 1884 |
| 2 | 108, 942 |
| 3 | 54, 471 |
| 18, 157 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 18 x 157 = 33912
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/33912
Therefore, the GCF of Fractions 1145/216,2196/1884 is 1/33912
Least Common Multiple of 216,1884 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 216,1884 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(216,1884) = 12
common factors(in case of two or more numbers have common factors) = 1
GCF(216,1884) x common factors =12 x 1 = 12
LCM(216,1884) = ( 216 × 1884 ) / 12
LCM(216,1884) = 406944 / 12
LCM(216,1884) = 33912
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FAQs on GCF of Fractions of 1145/216, 2196/1884
1. What is the HCF of 1145,2196?
The HCF of 1145,2196 is 1
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 1145/216, 2196/1884?
Answer: GCF of Numerators as per given numbers 1145/216, 2196/1884 is
GCF of Numerators i.e. for 1145,2196 is 1
LCM of denominators i.e. for 216,1884 is 33912.
Thus, GCF of Fractions is 1/33912.Finally, GCF of Fractions for 1145/216, 2196/1884 is 1/33912.