GCF of 600/823, 375/479
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 600/823, 375/479 i.e 75/394217 easily. The following is the detailed procedure to determine the greatest common factor of fractions 600/823, 375/479.
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 600/823,375/479?
Given fractions are 600/823,375/479
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 600/823,375/479, numerators are 600,375
Denominators are 823,479
The GCF of 600,375 is 75 .
LCM of 823,479 is 394217.
The greatest common factor of 600/823,375/479 = [GCF of 600,375]/[LCM of 823,479]= 75/394217
Therefore, the GCF of 600/823,375/479 is 75/394217.
To find the highest common factor of 600,375, we have to find the factors of both numbers and list the highest common factor.
The factors of 600 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600
The factors of 375 are 1, 3, 5, 15, 25, 75, 125, 375
The HCF of 600,375 is 75.
Lets's calculate GCF of 600,375
| 3 | 600, 375 |
| 5 | 200, 125 |
| 5 | 40, 25 |
| 8, 5 |
∴ So the GCF of the given numbers is 3 x 5 x 5 = 75
Greatest Common Factor of 600,375 By Matching Biggest Common Factor Method
Now, list down the factors of 600
:1,2,3,4,5,6,8,10,12,15,20,24,25,30,40,50,60,75,100,120,150,200,300,600
Now, list down the factors of 375
:1,3,5,15,25,75,125,375
Greatest Common Factor
We found the factors 600,375 . The biggest common factor number is the GCF number.
So the greatest common factor 600,375 is 75.
Lets's calculate LCM of 823,479
Given numbers has no common factors except 1. So, there LCM is their product i.e 394217
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 75/394217
Therefore, the GCF of Fractions 600/823,375/479 is 75/394217
Least Common Multiple of 823,479 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 823,479 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(823,479) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(823,479) x common factors =1 x 1 = 1
LCM(823,479) = ( 823 × 479 ) / 1
LCM(823,479) = 394217 / 1
LCM(823,479) = 394217
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FAQs on GCF of Fractions of 600/823, 375/479
1. What is the HCF of 600,375?
The HCF of 600,375 is 75
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 600/823, 375/479?
Answer: GCF of Numerators as per given numbers 600/823, 375/479 is
GCF of Numerators i.e. for 600,375 is 75
LCM of denominators i.e. for 823,479 is 394217.
Thus, GCF of Fractions is 75/394217.Finally, GCF of Fractions for 600/823, 375/479 is 75/394217.