GCF of 5704/329, 6206/7189
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5704/329, 6206/7189 i.e 2/337883 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5704/329, 6206/7189.
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 5704/329,6206/7189?
Given fractions are 5704/329,6206/7189
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 5704/329,6206/7189, numerators are 5704,6206
Denominators are 329,7189
The GCF of 5704,6206 is 2 .
LCM of 329,7189 is 337883.
The greatest common factor of 5704/329,6206/7189 = [GCF of 5704,6206]/[LCM of 329,7189]= 2/337883
Therefore, the GCF of 5704/329,6206/7189 is 2/337883.
To find the highest common factor of 5704,6206, we have to find the factors of both numbers and list the highest common factor.
The factors of 5704 are 1, 2, 4, 8, 23, 31, 46, 62, 92, 124, 184, 248, 713, 1426, 2852, 5704
The factors of 6206 are 1, 2, 29, 58, 107, 214, 3103, 6206
The HCF of 5704,6206 is 2.
Lets's calculate GCF of 5704,6206
| 2 | 5704, 6206 |
| 2852, 3103 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 5704,6206 By Matching Biggest Common Factor Method
Now, list down the factors of 5704
:1,2,4,8,23,31,46,62,92,124,184,248,713,1426,2852,5704
Now, list down the factors of 6206
:1,2,29,58,107,214,3103,6206
Greatest Common Factor
We found the factors 5704,6206 . The biggest common factor number is the GCF number.
So the greatest common factor 5704,6206 is 2.
Lets's calculate LCM of 329,7189
| 7 | 329, 7189 |
| 47, 1027 |
∴ So the LCM of the given numbers is 7 x 47 x 1027 = 337883
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/337883
Therefore, the GCF of Fractions 5704/329,6206/7189 is 2/337883
Least Common Multiple of 329,7189 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 329,7189 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(329,7189) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(329,7189) x common factors =7 x 1 = 7
LCM(329,7189) = ( 329 × 7189 ) / 7
LCM(329,7189) = 2365181 / 7
LCM(329,7189) = 337883
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FAQs on GCF of Fractions of 5704/329, 6206/7189
1. What is the HCF of 5704,6206?
The HCF of 5704,6206 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 5704/329, 6206/7189?
Answer: GCF of Numerators as per given numbers 5704/329, 6206/7189 is
GCF of Numerators i.e. for 5704,6206 is 2
LCM of denominators i.e. for 329,7189 is 337883.
Thus, GCF of Fractions is 2/337883.Finally, GCF of Fractions for 5704/329, 6206/7189 is 2/337883.