GCF of 5158/819, 2290/182
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5158/819, 2290/182 i.e 2/1638 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5158/819, 2290/182.
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 5158/819,2290/182?
Given fractions are 5158/819,2290/182
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 5158/819,2290/182, numerators are 5158,2290
Denominators are 819,182
The GCF of 5158,2290 is 2 .
LCM of 819,182 is 1638.
The greatest common factor of 5158/819,2290/182 = [GCF of 5158,2290]/[LCM of 819,182]= 2/1638
Therefore, the GCF of 5158/819,2290/182 is 2/1638.
To find the highest common factor of 5158,2290, we have to find the factors of both numbers and list the highest common factor.
The factors of 5158 are 1, 2, 2579, 5158
The factors of 2290 are 1, 2, 5, 10, 229, 458, 1145, 2290
The HCF of 5158,2290 is 2.
Lets's calculate GCF of 5158,2290
| 2 | 5158, 2290 |
| 2579, 1145 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 5158,2290 By Matching Biggest Common Factor Method
Now, list down the factors of 5158
:1,2,2579,5158
Now, list down the factors of 2290
:1,2,5,10,229,458,1145,2290
Greatest Common Factor
We found the factors 5158,2290 . The biggest common factor number is the GCF number.
So the greatest common factor 5158,2290 is 2.
Lets's calculate LCM of 819,182
| 7 | 819, 182 |
| 13 | 117, 26 |
| 9, 2 |
∴ So the LCM of the given numbers is 7 x 13 x 9 x 2 = 1638
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1638
Therefore, the GCF of Fractions 5158/819,2290/182 is 2/1638
Least Common Multiple of 819,182 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 819,182 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(819,182) = 91
common factors(in case of two or more numbers have common factors) = 1
GCF(819,182) x common factors =91 x 1 = 91
LCM(819,182) = ( 819 × 182 ) / 91
LCM(819,182) = 149058 / 91
LCM(819,182) = 1638
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 5158/819, 2290/182
1. What is the HCF of 5158,2290?
The HCF of 5158,2290 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 5158/819, 2290/182?
Answer: GCF of Numerators as per given numbers 5158/819, 2290/182 is
GCF of Numerators i.e. for 5158,2290 is 2
LCM of denominators i.e. for 819,182 is 1638.
Thus, GCF of Fractions is 2/1638.Finally, GCF of Fractions for 5158/819, 2290/182 is 2/1638.