GCF of 2383/121, 4655/3484
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2383/121, 4655/3484 i.e 1/421564 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2383/121, 4655/3484.
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 2383/121,4655/3484?
Given fractions are 2383/121,4655/3484
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 2383/121,4655/3484, numerators are 2383,4655
Denominators are 121,3484
The GCF of 2383,4655 is 1 .
LCM of 121,3484 is 421564.
The greatest common factor of 2383/121,4655/3484 = [GCF of 2383,4655]/[LCM of 121,3484]= 1/421564
Therefore, the GCF of 2383/121,4655/3484 is 1/421564.
To find the highest common factor of 2383,4655, we have to find the factors of both numbers and list the highest common factor.
The factors of 2383 are 1, 2383
The factors of 4655 are 1, 5, 7, 19, 35, 49, 95, 133, 245, 665, 931, 4655
The HCF of 2383,4655 is 1.
Lets's calculate GCF of 2383,4655
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2383,4655 By Matching Biggest Common Factor Method
Now, list down the factors of 2383
:1,2383
Now, list down the factors of 4655
:1,5,7,19,35,49,95,133,245,665,931,4655
Greatest Common Factor
We found the factors 2383,4655 . The biggest common factor number is the GCF number.
So the greatest common factor 2383,4655 is 1.
Lets's calculate LCM of 121,3484
Given numbers has no common factors except 1. So, there LCM is their product i.e 421564
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/421564
Therefore, the GCF of Fractions 2383/121,4655/3484 is 1/421564
Least Common Multiple of 121,3484 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 121,3484 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(121,3484) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(121,3484) x common factors =1 x 1 = 1
LCM(121,3484) = ( 121 × 3484 ) / 1
LCM(121,3484) = 421564 / 1
LCM(121,3484) = 421564
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 2383/121, 4655/3484
1. What is the HCF of 2383,4655?
The HCF of 2383,4655 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 2383/121, 4655/3484?
Answer: GCF of Numerators as per given numbers 2383/121, 4655/3484 is
GCF of Numerators i.e. for 2383,4655 is 1
LCM of denominators i.e. for 121,3484 is 421564.
Thus, GCF of Fractions is 1/421564.Finally, GCF of Fractions for 2383/121, 4655/3484 is 1/421564.