GCF of 3821/322, 4722/2387
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3821/322, 4722/2387 i.e 1/109802 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3821/322, 4722/2387.
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 3821/322,4722/2387?
Given fractions are 3821/322,4722/2387
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 3821/322,4722/2387, numerators are 3821,4722
Denominators are 322,2387
The GCF of 3821,4722 is 1 .
LCM of 322,2387 is 109802.
The greatest common factor of 3821/322,4722/2387 = [GCF of 3821,4722]/[LCM of 322,2387]= 1/109802
Therefore, the GCF of 3821/322,4722/2387 is 1/109802.
To find the highest common factor of 3821,4722, we have to find the factors of both numbers and list the highest common factor.
The factors of 3821 are 1, 3821
The factors of 4722 are 1, 2, 3, 6, 787, 1574, 2361, 4722
The HCF of 3821,4722 is 1.
Lets's calculate GCF of 3821,4722
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3821,4722 By Matching Biggest Common Factor Method
Now, list down the factors of 3821
:1,3821
Now, list down the factors of 4722
:1,2,3,6,787,1574,2361,4722
Greatest Common Factor
We found the factors 3821,4722 . The biggest common factor number is the GCF number.
So the greatest common factor 3821,4722 is 1.
Lets's calculate LCM of 322,2387
| 7 | 322, 2387 |
| 46, 341 |
∴ So the LCM of the given numbers is 7 x 46 x 341 = 109802
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/109802
Therefore, the GCF of Fractions 3821/322,4722/2387 is 1/109802
Least Common Multiple of 322,2387 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 322,2387 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(322,2387) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(322,2387) x common factors =7 x 1 = 7
LCM(322,2387) = ( 322 × 2387 ) / 7
LCM(322,2387) = 768614 / 7
LCM(322,2387) = 109802
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 3821/322, 4722/2387
1. What is the HCF of 3821,4722?
The HCF of 3821,4722 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 3821/322, 4722/2387?
Answer: GCF of Numerators as per given numbers 3821/322, 4722/2387 is
GCF of Numerators i.e. for 3821,4722 is 1
LCM of denominators i.e. for 322,2387 is 109802.
Thus, GCF of Fractions is 1/109802.Finally, GCF of Fractions for 3821/322, 4722/2387 is 1/109802.