GCF of 2382/557, 3182/5349
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2382/557, 3182/5349 i.e 2/2979393 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2382/557, 3182/5349.
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 2382/557,3182/5349?
Given fractions are 2382/557,3182/5349
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 2382/557,3182/5349, numerators are 2382,3182
Denominators are 557,5349
The GCF of 2382,3182 is 2 .
LCM of 557,5349 is 2979393.
The greatest common factor of 2382/557,3182/5349 = [GCF of 2382,3182]/[LCM of 557,5349]= 2/2979393
Therefore, the GCF of 2382/557,3182/5349 is 2/2979393.
To find the highest common factor of 2382,3182, we have to find the factors of both numbers and list the highest common factor.
The factors of 2382 are 1, 2, 3, 6, 397, 794, 1191, 2382
The factors of 3182 are 1, 2, 37, 43, 74, 86, 1591, 3182
The HCF of 2382,3182 is 2.
Lets's calculate GCF of 2382,3182
| 2 | 2382, 3182 |
| 1191, 1591 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 2382,3182 By Matching Biggest Common Factor Method
Now, list down the factors of 2382
:1,2,3,6,397,794,1191,2382
Now, list down the factors of 3182
:1,2,37,43,74,86,1591,3182
Greatest Common Factor
We found the factors 2382,3182 . The biggest common factor number is the GCF number.
So the greatest common factor 2382,3182 is 2.
Lets's calculate LCM of 557,5349
Given numbers has no common factors except 1. So, there LCM is their product i.e 2979393
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2979393
Therefore, the GCF of Fractions 2382/557,3182/5349 is 2/2979393
Least Common Multiple of 557,5349 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 557,5349 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(557,5349) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(557,5349) x common factors =1 x 1 = 1
LCM(557,5349) = ( 557 × 5349 ) / 1
LCM(557,5349) = 2979393 / 1
LCM(557,5349) = 2979393
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 2382/557, 3182/5349
1. What is the HCF of 2382,3182?
The HCF of 2382,3182 is 2
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 2382/557, 3182/5349?
Answer: GCF of Numerators as per given numbers 2382/557, 3182/5349 is
GCF of Numerators i.e. for 2382,3182 is 2
LCM of denominators i.e. for 557,5349 is 2979393.
Thus, GCF of Fractions is 2/2979393.Finally, GCF of Fractions for 2382/557, 3182/5349 is 2/2979393.