GCF of 2498/816, 3146/125
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2498/816, 3146/125 i.e 2/102000 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2498/816, 3146/125.
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 2498/816,3146/125?
Given fractions are 2498/816,3146/125
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 2498/816,3146/125, numerators are 2498,3146
Denominators are 816,125
The GCF of 2498,3146 is 2 .
LCM of 816,125 is 102000.
The greatest common factor of 2498/816,3146/125 = [GCF of 2498,3146]/[LCM of 816,125]= 2/102000
Therefore, the GCF of 2498/816,3146/125 is 2/102000.
To find the highest common factor of 2498,3146, we have to find the factors of both numbers and list the highest common factor.
The factors of 2498 are 1, 2, 1249, 2498
The factors of 3146 are 1, 2, 11, 13, 22, 26, 121, 143, 242, 286, 1573, 3146
The HCF of 2498,3146 is 2.
Lets's calculate GCF of 2498,3146
| 2 | 2498, 3146 |
| 1249, 1573 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 2498,3146 By Matching Biggest Common Factor Method
Now, list down the factors of 2498
:1,2,1249,2498
Now, list down the factors of 3146
:1,2,11,13,22,26,121,143,242,286,1573,3146
Greatest Common Factor
We found the factors 2498,3146 . The biggest common factor number is the GCF number.
So the greatest common factor 2498,3146 is 2.
Lets's calculate LCM of 816,125
Given numbers has no common factors except 1. So, there LCM is their product i.e 102000
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/102000
Therefore, the GCF of Fractions 2498/816,3146/125 is 2/102000
Least Common Multiple of 816,125 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 816,125 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(816,125) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(816,125) x common factors =1 x 1 = 1
LCM(816,125) = ( 816 × 125 ) / 1
LCM(816,125) = 102000 / 1
LCM(816,125) = 102000
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 2498/816, 3146/125
1. What is the HCF of 2498,3146?
The HCF of 2498,3146 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 2498/816, 3146/125?
Answer: GCF of Numerators as per given numbers 2498/816, 3146/125 is
GCF of Numerators i.e. for 2498,3146 is 2
LCM of denominators i.e. for 816,125 is 102000.
Thus, GCF of Fractions is 2/102000.Finally, GCF of Fractions for 2498/816, 3146/125 is 2/102000.