GCF of 1392/826, 2304/5497
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1392/826, 2304/5497 i.e 48/4540522 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1392/826, 2304/5497.
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 1392/826,2304/5497?
Given fractions are 1392/826,2304/5497
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 1392/826,2304/5497, numerators are 1392,2304
Denominators are 826,5497
The GCF of 1392,2304 is 48 .
LCM of 826,5497 is 4540522.
The greatest common factor of 1392/826,2304/5497 = [GCF of 1392,2304]/[LCM of 826,5497]= 48/4540522
Therefore, the GCF of 1392/826,2304/5497 is 48/4540522.
To find the highest common factor of 1392,2304, we have to find the factors of both numbers and list the highest common factor.
The factors of 1392 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 29, 48, 58, 87, 116, 174, 232, 348, 464, 696, 1392
The factors of 2304 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 128, 144, 192, 256, 288, 384, 576, 768, 1152, 2304
The HCF of 1392,2304 is 48.
Lets's calculate GCF of 1392,2304
| 2 | 1392, 2304 |
| 2 | 696, 1152 |
| 2 | 348, 576 |
| 2 | 174, 288 |
| 3 | 87, 144 |
| 29, 48 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 x 3 = 48
Greatest Common Factor of 1392,2304 By Matching Biggest Common Factor Method
Now, list down the factors of 1392
:1,2,3,4,6,8,12,16,24,29,48,58,87,116,174,232,348,464,696,1392
Now, list down the factors of 2304
:1,2,3,4,6,8,9,12,16,18,24,32,36,48,64,72,96,128,144,192,256,288,384,576,768,1152,2304
Greatest Common Factor
We found the factors 1392,2304 . The biggest common factor number is the GCF number.
So the greatest common factor 1392,2304 is 48.
Lets's calculate LCM of 826,5497
Given numbers has no common factors except 1. So, there LCM is their product i.e 4540522
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 48/4540522
Therefore, the GCF of Fractions 1392/826,2304/5497 is 48/4540522
Least Common Multiple of 826,5497 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 826,5497 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(826,5497) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(826,5497) x common factors =1 x 1 = 1
LCM(826,5497) = ( 826 × 5497 ) / 1
LCM(826,5497) = 4540522 / 1
LCM(826,5497) = 4540522
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FAQs on GCF of Fractions of 1392/826, 2304/5497
1. What is the HCF of 1392,2304?
The HCF of 1392,2304 is 48
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 1392/826, 2304/5497?
Answer: GCF of Numerators as per given numbers 1392/826, 2304/5497 is
GCF of Numerators i.e. for 1392,2304 is 48
LCM of denominators i.e. for 826,5497 is 4540522.
Thus, GCF of Fractions is 48/4540522.Finally, GCF of Fractions for 1392/826, 2304/5497 is 48/4540522.