GCF of 6383/655, 5760/5603
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6383/655, 5760/5603 i.e 1/3669965 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6383/655, 5760/5603.
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 6383/655,5760/5603?
Given fractions are 6383/655,5760/5603
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 6383/655,5760/5603, numerators are 6383,5760
Denominators are 655,5603
The GCF of 6383,5760 is 1 .
LCM of 655,5603 is 3669965.
The greatest common factor of 6383/655,5760/5603 = [GCF of 6383,5760]/[LCM of 655,5603]= 1/3669965
Therefore, the GCF of 6383/655,5760/5603 is 1/3669965.
To find the highest common factor of 6383,5760, we have to find the factors of both numbers and list the highest common factor.
The factors of 6383 are 1, 13, 491, 6383
The factors of 5760 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 32, 36, 40, 45, 48, 60, 64, 72, 80, 90, 96, 120, 128, 144, 160, 180, 192, 240, 288, 320, 360, 384, 480, 576, 640, 720, 960, 1152, 1440, 1920, 2880, 5760
The HCF of 6383,5760 is 1.
Lets's calculate GCF of 6383,5760
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6383,5760 By Matching Biggest Common Factor Method
Now, list down the factors of 6383
:1,13,491,6383
Now, list down the factors of 5760
:1,2,3,4,5,6,8,9,10,12,15,16,18,20,24,30,32,36,40,45,48,60,64,72,80,90,96,120,128,144,160,180,192,240,288,320,360,384,480,576,640,720,960,1152,1440,1920,2880,5760
Greatest Common Factor
We found the factors 6383,5760 . The biggest common factor number is the GCF number.
So the greatest common factor 6383,5760 is 1.
Lets's calculate LCM of 655,5603
Given numbers has no common factors except 1. So, there LCM is their product i.e 3669965
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3669965
Therefore, the GCF of Fractions 6383/655,5760/5603 is 1/3669965
Least Common Multiple of 655,5603 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 655,5603 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(655,5603) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(655,5603) x common factors =1 x 1 = 1
LCM(655,5603) = ( 655 × 5603 ) / 1
LCM(655,5603) = 3669965 / 1
LCM(655,5603) = 3669965
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FAQs on GCF of Fractions of 6383/655, 5760/5603
1. What is the HCF of 6383,5760?
The HCF of 6383,5760 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 6383/655, 5760/5603?
Answer: GCF of Numerators as per given numbers 6383/655, 5760/5603 is
GCF of Numerators i.e. for 6383,5760 is 1
LCM of denominators i.e. for 655,5603 is 3669965.
Thus, GCF of Fractions is 1/3669965.Finally, GCF of Fractions for 6383/655, 5760/5603 is 1/3669965.