GCF of 600/36, 812/1276
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 600/36, 812/1276 i.e 4/11484 easily. The following is the detailed procedure to determine the greatest common factor of fractions 600/36, 812/1276.
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 600/36,812/1276?
Given fractions are 600/36,812/1276
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 600/36,812/1276, numerators are 600,812
Denominators are 36,1276
The GCF of 600,812 is 4 .
LCM of 36,1276 is 11484.
The greatest common factor of 600/36,812/1276 = [GCF of 600,812]/[LCM of 36,1276]= 4/11484
Therefore, the GCF of 600/36,812/1276 is 4/11484.
To find the highest common factor of 600,812, 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 812 are 1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812
The HCF of 600,812 is 4.
Lets's calculate GCF of 600,812
| 2 | 600, 812 |
| 2 | 300, 406 |
| 150, 203 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 600,812 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 812
:1,2,4,7,14,28,29,58,116,203,406,812
Greatest Common Factor
We found the factors 600,812 . The biggest common factor number is the GCF number.
So the greatest common factor 600,812 is 4.
Lets's calculate LCM of 36,1276
| 2 | 36, 1276 |
| 2 | 18, 638 |
| 9, 319 |
∴ So the LCM of the given numbers is 2 x 2 x 9 x 319 = 11484
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/11484
Therefore, the GCF of Fractions 600/36,812/1276 is 4/11484
Least Common Multiple of 36,1276 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 36,1276 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(36,1276) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(36,1276) x common factors =4 x 1 = 4
LCM(36,1276) = ( 36 × 1276 ) / 4
LCM(36,1276) = 45936 / 4
LCM(36,1276) = 11484
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FAQs on GCF of Fractions of 600/36, 812/1276
1. What is the HCF of 600,812?
The HCF of 600,812 is 4
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 600/36, 812/1276?
Answer: GCF of Numerators as per given numbers 600/36, 812/1276 is
GCF of Numerators i.e. for 600,812 is 4
LCM of denominators i.e. for 36,1276 is 11484.
Thus, GCF of Fractions is 4/11484.Finally, GCF of Fractions for 600/36, 812/1276 is 4/11484.