GCF of 682/571, 4204/309
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 682/571, 4204/309 i.e 2/176439 easily. The following is the detailed procedure to determine the greatest common factor of fractions 682/571, 4204/309.
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 682/571,4204/309?
Given fractions are 682/571,4204/309
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 682/571,4204/309, numerators are 682,4204
Denominators are 571,309
The GCF of 682,4204 is 2 .
LCM of 571,309 is 176439.
The greatest common factor of 682/571,4204/309 = [GCF of 682,4204]/[LCM of 571,309]= 2/176439
Therefore, the GCF of 682/571,4204/309 is 2/176439.
To find the highest common factor of 682,4204, we have to find the factors of both numbers and list the highest common factor.
The factors of 682 are 1, 2, 11, 22, 31, 62, 341, 682
The factors of 4204 are 1, 2, 4, 1051, 2102, 4204
The HCF of 682,4204 is 2.
Lets's calculate GCF of 682,4204
| 2 | 682, 4204 |
| 341, 2102 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 682,4204 By Matching Biggest Common Factor Method
Now, list down the factors of 682
:1,2,11,22,31,62,341,682
Now, list down the factors of 4204
:1,2,4,1051,2102,4204
Greatest Common Factor
We found the factors 682,4204 . The biggest common factor number is the GCF number.
So the greatest common factor 682,4204 is 2.
Lets's calculate LCM of 571,309
Given numbers has no common factors except 1. So, there LCM is their product i.e 176439
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/176439
Therefore, the GCF of Fractions 682/571,4204/309 is 2/176439
Least Common Multiple of 571,309 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 571,309 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(571,309) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(571,309) x common factors =1 x 1 = 1
LCM(571,309) = ( 571 × 309 ) / 1
LCM(571,309) = 176439 / 1
LCM(571,309) = 176439
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FAQs on GCF of Fractions of 682/571, 4204/309
1. What is the HCF of 682,4204?
The HCF of 682,4204 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 682/571, 4204/309?
Answer: GCF of Numerators as per given numbers 682/571, 4204/309 is
GCF of Numerators i.e. for 682,4204 is 2
LCM of denominators i.e. for 571,309 is 176439.
Thus, GCF of Fractions is 2/176439.Finally, GCF of Fractions for 682/571, 4204/309 is 2/176439.