GCF of 5504/232, 1206/2493
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5504/232, 1206/2493 i.e 2/578376 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5504/232, 1206/2493.
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 5504/232,1206/2493?
Given fractions are 5504/232,1206/2493
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 5504/232,1206/2493, numerators are 5504,1206
Denominators are 232,2493
The GCF of 5504,1206 is 2 .
LCM of 232,2493 is 578376.
The greatest common factor of 5504/232,1206/2493 = [GCF of 5504,1206]/[LCM of 232,2493]= 2/578376
Therefore, the GCF of 5504/232,1206/2493 is 2/578376.
To find the highest common factor of 5504,1206, we have to find the factors of both numbers and list the highest common factor.
The factors of 5504 are 1, 2, 4, 8, 16, 32, 43, 64, 86, 128, 172, 344, 688, 1376, 2752, 5504
The factors of 1206 are 1, 2, 3, 6, 9, 18, 67, 134, 201, 402, 603, 1206
The HCF of 5504,1206 is 2.
Lets's calculate GCF of 5504,1206
| 2 | 5504, 1206 |
| 2752, 603 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 5504,1206 By Matching Biggest Common Factor Method
Now, list down the factors of 5504
:1,2,4,8,16,32,43,64,86,128,172,344,688,1376,2752,5504
Now, list down the factors of 1206
:1,2,3,6,9,18,67,134,201,402,603,1206
Greatest Common Factor
We found the factors 5504,1206 . The biggest common factor number is the GCF number.
So the greatest common factor 5504,1206 is 2.
Lets's calculate LCM of 232,2493
Given numbers has no common factors except 1. So, there LCM is their product i.e 578376
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/578376
Therefore, the GCF of Fractions 5504/232,1206/2493 is 2/578376
Least Common Multiple of 232,2493 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 232,2493 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(232,2493) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(232,2493) x common factors =1 x 1 = 1
LCM(232,2493) = ( 232 × 2493 ) / 1
LCM(232,2493) = 578376 / 1
LCM(232,2493) = 578376
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FAQs on GCF of Fractions of 5504/232, 1206/2493
1. What is the HCF of 5504,1206?
The HCF of 5504,1206 is 2
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 5504/232, 1206/2493?
Answer: GCF of Numerators as per given numbers 5504/232, 1206/2493 is
GCF of Numerators i.e. for 5504,1206 is 2
LCM of denominators i.e. for 232,2493 is 578376.
Thus, GCF of Fractions is 2/578376.Finally, GCF of Fractions for 5504/232, 1206/2493 is 2/578376.