GCF of 808/516, 657/524
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 808/516, 657/524 i.e 1/67596 easily. The following is the detailed procedure to determine the greatest common factor of fractions 808/516, 657/524.
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 808/516,657/524?
Given fractions are 808/516,657/524
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 808/516,657/524, numerators are 808,657
Denominators are 516,524
The GCF of 808,657 is 1 .
LCM of 516,524 is 67596.
The greatest common factor of 808/516,657/524 = [GCF of 808,657]/[LCM of 516,524]= 1/67596
Therefore, the GCF of 808/516,657/524 is 1/67596.
To find the highest common factor of 808,657, we have to find the factors of both numbers and list the highest common factor.
The factors of 808 are 1, 2, 4, 8, 101, 202, 404, 808
The factors of 657 are 1, 3, 9, 73, 219, 657
The HCF of 808,657 is 1.
Lets's calculate GCF of 808,657
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 808,657 By Matching Biggest Common Factor Method
Now, list down the factors of 808
:1,2,4,8,101,202,404,808
Now, list down the factors of 657
:1,3,9,73,219,657
Greatest Common Factor
We found the factors 808,657 . The biggest common factor number is the GCF number.
So the greatest common factor 808,657 is 1.
Lets's calculate LCM of 516,524
| 2 | 516, 524 |
| 2 | 258, 262 |
| 129, 131 |
∴ So the LCM of the given numbers is 2 x 2 x 129 x 131 = 67596
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/67596
Therefore, the GCF of Fractions 808/516,657/524 is 1/67596
Least Common Multiple of 516,524 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 516,524 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(516,524) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(516,524) x common factors =4 x 1 = 4
LCM(516,524) = ( 516 × 524 ) / 4
LCM(516,524) = 270384 / 4
LCM(516,524) = 67596
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FAQs on GCF of Fractions of 808/516, 657/524
1. What is the HCF of 808,657?
The HCF of 808,657 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 808/516, 657/524?
Answer: GCF of Numerators as per given numbers 808/516, 657/524 is
GCF of Numerators i.e. for 808,657 is 1
LCM of denominators i.e. for 516,524 is 67596.
Thus, GCF of Fractions is 1/67596.Finally, GCF of Fractions for 808/516, 657/524 is 1/67596.