GCF of 4347/818, 3500/9300
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4347/818, 3500/9300 i.e 7/3803700 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4347/818, 3500/9300.
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 4347/818,3500/9300?
Given fractions are 4347/818,3500/9300
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 4347/818,3500/9300, numerators are 4347,3500
Denominators are 818,9300
The GCF of 4347,3500 is 7 .
LCM of 818,9300 is 3803700.
The greatest common factor of 4347/818,3500/9300 = [GCF of 4347,3500]/[LCM of 818,9300]= 7/3803700
Therefore, the GCF of 4347/818,3500/9300 is 7/3803700.
To find the highest common factor of 4347,3500, we have to find the factors of both numbers and list the highest common factor.
The factors of 4347 are 1, 3, 7, 9, 21, 23, 27, 63, 69, 161, 189, 207, 483, 621, 1449, 4347
The factors of 3500 are 1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 125, 140, 175, 250, 350, 500, 700, 875, 1750, 3500
The HCF of 4347,3500 is 7.
Lets's calculate GCF of 4347,3500
| 7 | 4347, 3500 |
| 621, 500 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 4347,3500 By Matching Biggest Common Factor Method
Now, list down the factors of 4347
:1,3,7,9,21,23,27,63,69,161,189,207,483,621,1449,4347
Now, list down the factors of 3500
:1,2,4,5,7,10,14,20,25,28,35,50,70,100,125,140,175,250,350,500,700,875,1750,3500
Greatest Common Factor
We found the factors 4347,3500 . The biggest common factor number is the GCF number.
So the greatest common factor 4347,3500 is 7.
Lets's calculate LCM of 818,9300
| 2 | 818, 9300 |
| 409, 4650 |
∴ So the LCM of the given numbers is 2 x 409 x 4650 = 3803700
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/3803700
Therefore, the GCF of Fractions 4347/818,3500/9300 is 7/3803700
Least Common Multiple of 818,9300 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 818,9300 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(818,9300) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(818,9300) x common factors =2 x 1 = 2
LCM(818,9300) = ( 818 × 9300 ) / 2
LCM(818,9300) = 7607400 / 2
LCM(818,9300) = 3803700
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FAQs on GCF of Fractions of 4347/818, 3500/9300
1. What is the HCF of 4347,3500?
The HCF of 4347,3500 is 7
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 4347/818, 3500/9300?
Answer: GCF of Numerators as per given numbers 4347/818, 3500/9300 is
GCF of Numerators i.e. for 4347,3500 is 7
LCM of denominators i.e. for 818,9300 is 3803700.
Thus, GCF of Fractions is 7/3803700.Finally, GCF of Fractions for 4347/818, 3500/9300 is 7/3803700.