GCF of 521/82, 416/400
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 521/82, 416/400 i.e 1/16400 easily. The following is the detailed procedure to determine the greatest common factor of fractions 521/82, 416/400.
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 521/82,416/400?
Given fractions are 521/82,416/400
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 521/82,416/400, numerators are 521,416
Denominators are 82,400
The GCF of 521,416 is 1 .
LCM of 82,400 is 16400.
The greatest common factor of 521/82,416/400 = [GCF of 521,416]/[LCM of 82,400]= 1/16400
Therefore, the GCF of 521/82,416/400 is 1/16400.
To find the highest common factor of 521,416, we have to find the factors of both numbers and list the highest common factor.
The factors of 521 are 1, 521
The factors of 416 are 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416
The HCF of 521,416 is 1.
Lets's calculate GCF of 521,416
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 521,416 By Matching Biggest Common Factor Method
Now, list down the factors of 521
:1,521
Now, list down the factors of 416
:1,2,4,8,13,16,26,32,52,104,208,416
Greatest Common Factor
We found the factors 521,416 . The biggest common factor number is the GCF number.
So the greatest common factor 521,416 is 1.
Lets's calculate LCM of 82,400
| 2 | 82, 400 |
| 41, 200 |
∴ So the LCM of the given numbers is 2 x 41 x 200 = 16400
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/16400
Therefore, the GCF of Fractions 521/82,416/400 is 1/16400
Least Common Multiple of 82,400 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 82,400 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(82,400) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(82,400) x common factors =2 x 1 = 2
LCM(82,400) = ( 82 × 400 ) / 2
LCM(82,400) = 32800 / 2
LCM(82,400) = 16400
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FAQs on GCF of Fractions of 521/82, 416/400
1. What is the HCF of 521,416?
The HCF of 521,416 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 521/82, 416/400?
Answer: GCF of Numerators as per given numbers 521/82, 416/400 is
GCF of Numerators i.e. for 521,416 is 1
LCM of denominators i.e. for 82,400 is 16400.
Thus, GCF of Fractions is 1/16400.Finally, GCF of Fractions for 521/82, 416/400 is 1/16400.