GCF of 5593/690, 3168/1344
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5593/690, 3168/1344 i.e 1/154560 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5593/690, 3168/1344.
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 5593/690,3168/1344?
Given fractions are 5593/690,3168/1344
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 5593/690,3168/1344, numerators are 5593,3168
Denominators are 690,1344
The GCF of 5593,3168 is 1 .
LCM of 690,1344 is 154560.
The greatest common factor of 5593/690,3168/1344 = [GCF of 5593,3168]/[LCM of 690,1344]= 1/154560
Therefore, the GCF of 5593/690,3168/1344 is 1/154560.
To find the highest common factor of 5593,3168, we have to find the factors of both numbers and list the highest common factor.
The factors of 5593 are 1, 7, 17, 47, 119, 329, 799, 5593
The factors of 3168 are 1, 2, 3, 4, 6, 8, 9, 11, 12, 16, 18, 22, 24, 32, 33, 36, 44, 48, 66, 72, 88, 96, 99, 132, 144, 176, 198, 264, 288, 352, 396, 528, 792, 1056, 1584, 3168
The HCF of 5593,3168 is 1.
Lets's calculate GCF of 5593,3168
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5593,3168 By Matching Biggest Common Factor Method
Now, list down the factors of 5593
:1,7,17,47,119,329,799,5593
Now, list down the factors of 3168
:1,2,3,4,6,8,9,11,12,16,18,22,24,32,33,36,44,48,66,72,88,96,99,132,144,176,198,264,288,352,396,528,792,1056,1584,3168
Greatest Common Factor
We found the factors 5593,3168 . The biggest common factor number is the GCF number.
So the greatest common factor 5593,3168 is 1.
Lets's calculate LCM of 690,1344
| 2 | 690, 1344 |
| 3 | 345, 672 |
| 115, 224 |
∴ So the LCM of the given numbers is 2 x 3 x 115 x 224 = 154560
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/154560
Therefore, the GCF of Fractions 5593/690,3168/1344 is 1/154560
Least Common Multiple of 690,1344 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 690,1344 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(690,1344) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(690,1344) x common factors =6 x 1 = 6
LCM(690,1344) = ( 690 × 1344 ) / 6
LCM(690,1344) = 927360 / 6
LCM(690,1344) = 154560
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 5593/690, 3168/1344
1. What is the HCF of 5593,3168?
The HCF of 5593,3168 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 5593/690, 3168/1344?
Answer: GCF of Numerators as per given numbers 5593/690, 3168/1344 is
GCF of Numerators i.e. for 5593,3168 is 1
LCM of denominators i.e. for 690,1344 is 154560.
Thus, GCF of Fractions is 1/154560.Finally, GCF of Fractions for 5593/690, 3168/1344 is 1/154560.