GCF of 3843/282, 4760/9273
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3843/282, 4760/9273 i.e 7/871662 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3843/282, 4760/9273.
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 3843/282,4760/9273?
Given fractions are 3843/282,4760/9273
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 3843/282,4760/9273, numerators are 3843,4760
Denominators are 282,9273
The GCF of 3843,4760 is 7 .
LCM of 282,9273 is 871662.
The greatest common factor of 3843/282,4760/9273 = [GCF of 3843,4760]/[LCM of 282,9273]= 7/871662
Therefore, the GCF of 3843/282,4760/9273 is 7/871662.
To find the highest common factor of 3843,4760, we have to find the factors of both numbers and list the highest common factor.
The factors of 3843 are 1, 3, 7, 9, 21, 61, 63, 183, 427, 549, 1281, 3843
The factors of 4760 are 1, 2, 4, 5, 7, 8, 10, 14, 17, 20, 28, 34, 35, 40, 56, 68, 70, 85, 119, 136, 140, 170, 238, 280, 340, 476, 595, 680, 952, 1190, 2380, 4760
The HCF of 3843,4760 is 7.
Lets's calculate GCF of 3843,4760
| 7 | 3843, 4760 |
| 549, 680 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 3843,4760 By Matching Biggest Common Factor Method
Now, list down the factors of 3843
:1,3,7,9,21,61,63,183,427,549,1281,3843
Now, list down the factors of 4760
:1,2,4,5,7,8,10,14,17,20,28,34,35,40,56,68,70,85,119,136,140,170,238,280,340,476,595,680,952,1190,2380,4760
Greatest Common Factor
We found the factors 3843,4760 . The biggest common factor number is the GCF number.
So the greatest common factor 3843,4760 is 7.
Lets's calculate LCM of 282,9273
| 3 | 282, 9273 |
| 94, 3091 |
∴ So the LCM of the given numbers is 3 x 94 x 3091 = 871662
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/871662
Therefore, the GCF of Fractions 3843/282,4760/9273 is 7/871662
Least Common Multiple of 282,9273 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 282,9273 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(282,9273) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(282,9273) x common factors =3 x 1 = 3
LCM(282,9273) = ( 282 × 9273 ) / 3
LCM(282,9273) = 2614986 / 3
LCM(282,9273) = 871662
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 3843/282, 4760/9273
1. What is the HCF of 3843,4760?
The HCF of 3843,4760 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 3843/282, 4760/9273?
Answer: GCF of Numerators as per given numbers 3843/282, 4760/9273 is
GCF of Numerators i.e. for 3843,4760 is 7
LCM of denominators i.e. for 282,9273 is 871662.
Thus, GCF of Fractions is 7/871662.Finally, GCF of Fractions for 3843/282, 4760/9273 is 7/871662.