GCF of 811/68, 498/3862
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 811/68, 498/3862 i.e 1/131308 easily. The following is the detailed procedure to determine the greatest common factor of fractions 811/68, 498/3862.
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 811/68,498/3862?
Given fractions are 811/68,498/3862
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 811/68,498/3862, numerators are 811,498
Denominators are 68,3862
The GCF of 811,498 is 1 .
LCM of 68,3862 is 131308.
The greatest common factor of 811/68,498/3862 = [GCF of 811,498]/[LCM of 68,3862]= 1/131308
Therefore, the GCF of 811/68,498/3862 is 1/131308.
To find the highest common factor of 811,498, we have to find the factors of both numbers and list the highest common factor.
The factors of 811 are 1, 811
The factors of 498 are 1, 2, 3, 6, 83, 166, 249, 498
The HCF of 811,498 is 1.
Lets's calculate GCF of 811,498
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 811,498 By Matching Biggest Common Factor Method
Now, list down the factors of 811
:1,811
Now, list down the factors of 498
:1,2,3,6,83,166,249,498
Greatest Common Factor
We found the factors 811,498 . The biggest common factor number is the GCF number.
So the greatest common factor 811,498 is 1.
Lets's calculate LCM of 68,3862
| 2 | 68, 3862 |
| 34, 1931 |
∴ So the LCM of the given numbers is 2 x 34 x 1931 = 131308
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/131308
Therefore, the GCF of Fractions 811/68,498/3862 is 1/131308
Least Common Multiple of 68,3862 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 68,3862 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(68,3862) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(68,3862) x common factors =2 x 1 = 2
LCM(68,3862) = ( 68 × 3862 ) / 2
LCM(68,3862) = 262616 / 2
LCM(68,3862) = 131308
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 811/68, 498/3862
1. What is the HCF of 811,498?
The HCF of 811,498 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 811/68, 498/3862?
Answer: GCF of Numerators as per given numbers 811/68, 498/3862 is
GCF of Numerators i.e. for 811,498 is 1
LCM of denominators i.e. for 68,3862 is 131308.
Thus, GCF of Fractions is 1/131308.Finally, GCF of Fractions for 811/68, 498/3862 is 1/131308.