GCF of 4273/238, 6600/9513
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4273/238, 6600/9513 i.e 1/323442 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4273/238, 6600/9513.
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 4273/238,6600/9513?
Given fractions are 4273/238,6600/9513
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 4273/238,6600/9513, numerators are 4273,6600
Denominators are 238,9513
The GCF of 4273,6600 is 1 .
LCM of 238,9513 is 323442.
The greatest common factor of 4273/238,6600/9513 = [GCF of 4273,6600]/[LCM of 238,9513]= 1/323442
Therefore, the GCF of 4273/238,6600/9513 is 1/323442.
To find the highest common factor of 4273,6600, we have to find the factors of both numbers and list the highest common factor.
The factors of 4273 are 1, 4273
The factors of 6600 are 1, 2, 3, 4, 5, 6, 8, 10, 11, 12, 15, 20, 22, 24, 25, 30, 33, 40, 44, 50, 55, 60, 66, 75, 88, 100, 110, 120, 132, 150, 165, 200, 220, 264, 275, 300, 330, 440, 550, 600, 660, 825, 1100, 1320, 1650, 2200, 3300, 6600
The HCF of 4273,6600 is 1.
Lets's calculate GCF of 4273,6600
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4273,6600 By Matching Biggest Common Factor Method
Now, list down the factors of 4273
:1,4273
Now, list down the factors of 6600
:1,2,3,4,5,6,8,10,11,12,15,20,22,24,25,30,33,40,44,50,55,60,66,75,88,100,110,120,132,150,165,200,220,264,275,300,330,440,550,600,660,825,1100,1320,1650,2200,3300,6600
Greatest Common Factor
We found the factors 4273,6600 . The biggest common factor number is the GCF number.
So the greatest common factor 4273,6600 is 1.
Lets's calculate LCM of 238,9513
| 7 | 238, 9513 |
| 34, 1359 |
∴ So the LCM of the given numbers is 7 x 34 x 1359 = 323442
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/323442
Therefore, the GCF of Fractions 4273/238,6600/9513 is 1/323442
Least Common Multiple of 238,9513 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 238,9513 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(238,9513) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(238,9513) x common factors =7 x 1 = 7
LCM(238,9513) = ( 238 × 9513 ) / 7
LCM(238,9513) = 2264094 / 7
LCM(238,9513) = 323442
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FAQs on GCF of Fractions of 4273/238, 6600/9513
1. What is the HCF of 4273,6600?
The HCF of 4273,6600 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 4273/238, 6600/9513?
Answer: GCF of Numerators as per given numbers 4273/238, 6600/9513 is
GCF of Numerators i.e. for 4273,6600 is 1
LCM of denominators i.e. for 238,9513 is 323442.
Thus, GCF of Fractions is 1/323442.Finally, GCF of Fractions for 4273/238, 6600/9513 is 1/323442.