GCF of 5148/598, 1395/288
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5148/598, 1395/288 i.e 9/86112 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5148/598, 1395/288.
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 5148/598,1395/288?
Given fractions are 5148/598,1395/288
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 5148/598,1395/288, numerators are 5148,1395
Denominators are 598,288
The GCF of 5148,1395 is 9 .
LCM of 598,288 is 86112.
The greatest common factor of 5148/598,1395/288 = [GCF of 5148,1395]/[LCM of 598,288]= 9/86112
Therefore, the GCF of 5148/598,1395/288 is 9/86112.
To find the highest common factor of 5148,1395, we have to find the factors of both numbers and list the highest common factor.
The factors of 5148 are 1, 2, 3, 4, 6, 9, 11, 12, 13, 18, 22, 26, 33, 36, 39, 44, 52, 66, 78, 99, 117, 132, 143, 156, 198, 234, 286, 396, 429, 468, 572, 858, 1287, 1716, 2574, 5148
The factors of 1395 are 1, 3, 5, 9, 15, 31, 45, 93, 155, 279, 465, 1395
The HCF of 5148,1395 is 9.
Lets's calculate GCF of 5148,1395
| 3 | 5148, 1395 |
| 3 | 1716, 465 |
| 572, 155 |
∴ So the GCF of the given numbers is 3 x 3 = 9
Greatest Common Factor of 5148,1395 By Matching Biggest Common Factor Method
Now, list down the factors of 5148
:1,2,3,4,6,9,11,12,13,18,22,26,33,36,39,44,52,66,78,99,117,132,143,156,198,234,286,396,429,468,572,858,1287,1716,2574,5148
Now, list down the factors of 1395
:1,3,5,9,15,31,45,93,155,279,465,1395
Greatest Common Factor
We found the factors 5148,1395 . The biggest common factor number is the GCF number.
So the greatest common factor 5148,1395 is 9.
Lets's calculate LCM of 598,288
| 2 | 598, 288 |
| 299, 144 |
∴ So the LCM of the given numbers is 2 x 299 x 144 = 86112
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/86112
Therefore, the GCF of Fractions 5148/598,1395/288 is 9/86112
Least Common Multiple of 598,288 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 598,288 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(598,288) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(598,288) x common factors =2 x 1 = 2
LCM(598,288) = ( 598 × 288 ) / 2
LCM(598,288) = 172224 / 2
LCM(598,288) = 86112
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FAQs on GCF of Fractions of 5148/598, 1395/288
1. What is the HCF of 5148,1395?
The HCF of 5148,1395 is 9
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 5148/598, 1395/288?
Answer: GCF of Numerators as per given numbers 5148/598, 1395/288 is
GCF of Numerators i.e. for 5148,1395 is 9
LCM of denominators i.e. for 598,288 is 86112.
Thus, GCF of Fractions is 9/86112.Finally, GCF of Fractions for 5148/598, 1395/288 is 9/86112.