GCF of 5882/572, 1898/2259
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5882/572, 1898/2259 i.e 2/1292148 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5882/572, 1898/2259.
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 5882/572,1898/2259?
Given fractions are 5882/572,1898/2259
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 5882/572,1898/2259, numerators are 5882,1898
Denominators are 572,2259
The GCF of 5882,1898 is 2 .
LCM of 572,2259 is 1292148.
The greatest common factor of 5882/572,1898/2259 = [GCF of 5882,1898]/[LCM of 572,2259]= 2/1292148
Therefore, the GCF of 5882/572,1898/2259 is 2/1292148.
To find the highest common factor of 5882,1898, we have to find the factors of both numbers and list the highest common factor.
The factors of 5882 are 1, 2, 17, 34, 173, 346, 2941, 5882
The factors of 1898 are 1, 2, 13, 26, 73, 146, 949, 1898
The HCF of 5882,1898 is 2.
Lets's calculate GCF of 5882,1898
| 2 | 5882, 1898 |
| 2941, 949 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 5882,1898 By Matching Biggest Common Factor Method
Now, list down the factors of 5882
:1,2,17,34,173,346,2941,5882
Now, list down the factors of 1898
:1,2,13,26,73,146,949,1898
Greatest Common Factor
We found the factors 5882,1898 . The biggest common factor number is the GCF number.
So the greatest common factor 5882,1898 is 2.
Lets's calculate LCM of 572,2259
Given numbers has no common factors except 1. So, there LCM is their product i.e 1292148
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1292148
Therefore, the GCF of Fractions 5882/572,1898/2259 is 2/1292148
Least Common Multiple of 572,2259 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 572,2259 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(572,2259) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(572,2259) x common factors =1 x 1 = 1
LCM(572,2259) = ( 572 × 2259 ) / 1
LCM(572,2259) = 1292148 / 1
LCM(572,2259) = 1292148
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 5882/572, 1898/2259
1. What is the HCF of 5882,1898?
The HCF of 5882,1898 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 5882/572, 1898/2259?
Answer: GCF of Numerators as per given numbers 5882/572, 1898/2259 is
GCF of Numerators i.e. for 5882,1898 is 2
LCM of denominators i.e. for 572,2259 is 1292148.
Thus, GCF of Fractions is 2/1292148.Finally, GCF of Fractions for 5882/572, 1898/2259 is 2/1292148.