GCF of 8202/828, 7406/400
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8202/828, 7406/400 i.e 2/82800 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8202/828, 7406/400.
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 8202/828,7406/400?
Given fractions are 8202/828,7406/400
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 8202/828,7406/400, numerators are 8202,7406
Denominators are 828,400
The GCF of 8202,7406 is 2 .
LCM of 828,400 is 82800.
The greatest common factor of 8202/828,7406/400 = [GCF of 8202,7406]/[LCM of 828,400]= 2/82800
Therefore, the GCF of 8202/828,7406/400 is 2/82800.
To find the highest common factor of 8202,7406, we have to find the factors of both numbers and list the highest common factor.
The factors of 8202 are 1, 2, 3, 6, 1367, 2734, 4101, 8202
The factors of 7406 are 1, 2, 7, 14, 23, 46, 161, 322, 529, 1058, 3703, 7406
The HCF of 8202,7406 is 2.
Lets's calculate GCF of 8202,7406
| 2 | 8202, 7406 |
| 4101, 3703 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 8202,7406 By Matching Biggest Common Factor Method
Now, list down the factors of 8202
:1,2,3,6,1367,2734,4101,8202
Now, list down the factors of 7406
:1,2,7,14,23,46,161,322,529,1058,3703,7406
Greatest Common Factor
We found the factors 8202,7406 . The biggest common factor number is the GCF number.
So the greatest common factor 8202,7406 is 2.
Lets's calculate LCM of 828,400
| 2 | 828, 400 |
| 2 | 414, 200 |
| 207, 100 |
∴ So the LCM of the given numbers is 2 x 2 x 207 x 100 = 82800
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/82800
Therefore, the GCF of Fractions 8202/828,7406/400 is 2/82800
Least Common Multiple of 828,400 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 828,400 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(828,400) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(828,400) x common factors =4 x 1 = 4
LCM(828,400) = ( 828 × 400 ) / 4
LCM(828,400) = 331200 / 4
LCM(828,400) = 82800
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 8202/828, 7406/400
1. What is the HCF of 8202,7406?
The HCF of 8202,7406 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 8202/828, 7406/400?
Answer: GCF of Numerators as per given numbers 8202/828, 7406/400 is
GCF of Numerators i.e. for 8202,7406 is 2
LCM of denominators i.e. for 828,400 is 82800.
Thus, GCF of Fractions is 2/82800.Finally, GCF of Fractions for 8202/828, 7406/400 is 2/82800.