GCF of 8267/826, 3494/508
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8267/826, 3494/508 i.e 1/209804 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8267/826, 3494/508.
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 8267/826,3494/508?
Given fractions are 8267/826,3494/508
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 8267/826,3494/508, numerators are 8267,3494
Denominators are 826,508
The GCF of 8267,3494 is 1 .
LCM of 826,508 is 209804.
The greatest common factor of 8267/826,3494/508 = [GCF of 8267,3494]/[LCM of 826,508]= 1/209804
Therefore, the GCF of 8267/826,3494/508 is 1/209804.
To find the highest common factor of 8267,3494, we have to find the factors of both numbers and list the highest common factor.
The factors of 8267 are 1, 7, 1181, 8267
The factors of 3494 are 1, 2, 1747, 3494
The HCF of 8267,3494 is 1.
Lets's calculate GCF of 8267,3494
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8267,3494 By Matching Biggest Common Factor Method
Now, list down the factors of 8267
:1,7,1181,8267
Now, list down the factors of 3494
:1,2,1747,3494
Greatest Common Factor
We found the factors 8267,3494 . The biggest common factor number is the GCF number.
So the greatest common factor 8267,3494 is 1.
Lets's calculate LCM of 826,508
| 2 | 826, 508 |
| 413, 254 |
∴ So the LCM of the given numbers is 2 x 413 x 254 = 209804
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/209804
Therefore, the GCF of Fractions 8267/826,3494/508 is 1/209804
Least Common Multiple of 826,508 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 826,508 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(826,508) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(826,508) x common factors =2 x 1 = 2
LCM(826,508) = ( 826 × 508 ) / 2
LCM(826,508) = 419608 / 2
LCM(826,508) = 209804
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 8267/826, 3494/508
1. What is the HCF of 8267,3494?
The HCF of 8267,3494 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 8267/826, 3494/508?
Answer: GCF of Numerators as per given numbers 8267/826, 3494/508 is
GCF of Numerators i.e. for 8267,3494 is 1
LCM of denominators i.e. for 826,508 is 209804.
Thus, GCF of Fractions is 1/209804.Finally, GCF of Fractions for 8267/826, 3494/508 is 1/209804.