GCF of 1232/217, 2448/519
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1232/217, 2448/519 i.e 16/112623 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1232/217, 2448/519.
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 1232/217,2448/519?
Given fractions are 1232/217,2448/519
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 1232/217,2448/519, numerators are 1232,2448
Denominators are 217,519
The GCF of 1232,2448 is 16 .
LCM of 217,519 is 112623.
The greatest common factor of 1232/217,2448/519 = [GCF of 1232,2448]/[LCM of 217,519]= 16/112623
Therefore, the GCF of 1232/217,2448/519 is 16/112623.
To find the highest common factor of 1232,2448, we have to find the factors of both numbers and list the highest common factor.
The factors of 1232 are 1, 2, 4, 7, 8, 11, 14, 16, 22, 28, 44, 56, 77, 88, 112, 154, 176, 308, 616, 1232
The factors of 2448 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 17, 18, 24, 34, 36, 48, 51, 68, 72, 102, 136, 144, 153, 204, 272, 306, 408, 612, 816, 1224, 2448
The HCF of 1232,2448 is 16.
Lets's calculate GCF of 1232,2448
| 2 | 1232, 2448 |
| 2 | 616, 1224 |
| 2 | 308, 612 |
| 2 | 154, 306 |
| 77, 153 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16
Greatest Common Factor of 1232,2448 By Matching Biggest Common Factor Method
Now, list down the factors of 1232
:1,2,4,7,8,11,14,16,22,28,44,56,77,88,112,154,176,308,616,1232
Now, list down the factors of 2448
:1,2,3,4,6,8,9,12,16,17,18,24,34,36,48,51,68,72,102,136,144,153,204,272,306,408,612,816,1224,2448
Greatest Common Factor
We found the factors 1232,2448 . The biggest common factor number is the GCF number.
So the greatest common factor 1232,2448 is 16.
Lets's calculate LCM of 217,519
Given numbers has no common factors except 1. So, there LCM is their product i.e 112623
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 16/112623
Therefore, the GCF of Fractions 1232/217,2448/519 is 16/112623
Least Common Multiple of 217,519 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 217,519 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(217,519) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(217,519) x common factors =1 x 1 = 1
LCM(217,519) = ( 217 × 519 ) / 1
LCM(217,519) = 112623 / 1
LCM(217,519) = 112623
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FAQs on GCF of Fractions of 1232/217, 2448/519
1. What is the HCF of 1232,2448?
The HCF of 1232,2448 is 16
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 1232/217, 2448/519?
Answer: GCF of Numerators as per given numbers 1232/217, 2448/519 is
GCF of Numerators i.e. for 1232,2448 is 16
LCM of denominators i.e. for 217,519 is 112623.
Thus, GCF of Fractions is 16/112623.Finally, GCF of Fractions for 1232/217, 2448/519 is 16/112623.