GCF of 3829/213, 7210/341
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3829/213, 7210/341 i.e 7/72633 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3829/213, 7210/341.
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 3829/213,7210/341?
Given fractions are 3829/213,7210/341
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 3829/213,7210/341, numerators are 3829,7210
Denominators are 213,341
The GCF of 3829,7210 is 7 .
LCM of 213,341 is 72633.
The greatest common factor of 3829/213,7210/341 = [GCF of 3829,7210]/[LCM of 213,341]= 7/72633
Therefore, the GCF of 3829/213,7210/341 is 7/72633.
To find the highest common factor of 3829,7210, we have to find the factors of both numbers and list the highest common factor.
The factors of 3829 are 1, 7, 547, 3829
The factors of 7210 are 1, 2, 5, 7, 10, 14, 35, 70, 103, 206, 515, 721, 1030, 1442, 3605, 7210
The HCF of 3829,7210 is 7.
Lets's calculate GCF of 3829,7210
| 7 | 3829, 7210 |
| 547, 1030 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 3829,7210 By Matching Biggest Common Factor Method
Now, list down the factors of 3829
:1,7,547,3829
Now, list down the factors of 7210
:1,2,5,7,10,14,35,70,103,206,515,721,1030,1442,3605,7210
Greatest Common Factor
We found the factors 3829,7210 . The biggest common factor number is the GCF number.
So the greatest common factor 3829,7210 is 7.
Lets's calculate LCM of 213,341
Given numbers has no common factors except 1. So, there LCM is their product i.e 72633
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/72633
Therefore, the GCF of Fractions 3829/213,7210/341 is 7/72633
Least Common Multiple of 213,341 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 213,341 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(213,341) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(213,341) x common factors =1 x 1 = 1
LCM(213,341) = ( 213 × 341 ) / 1
LCM(213,341) = 72633 / 1
LCM(213,341) = 72633
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FAQs on GCF of Fractions of 3829/213, 7210/341
1. What is the HCF of 3829,7210?
The HCF of 3829,7210 is 7
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 3829/213, 7210/341?
Answer: GCF of Numerators as per given numbers 3829/213, 7210/341 is
GCF of Numerators i.e. for 3829,7210 is 7
LCM of denominators i.e. for 213,341 is 72633.
Thus, GCF of Fractions is 7/72633.Finally, GCF of Fractions for 3829/213, 7210/341 is 7/72633.