GCF of 4322/386, 5684/6718
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4322/386, 5684/6718 i.e 2/1296574 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4322/386, 5684/6718.
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 4322/386,5684/6718?
Given fractions are 4322/386,5684/6718
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 4322/386,5684/6718, numerators are 4322,5684
Denominators are 386,6718
The GCF of 4322,5684 is 2 .
LCM of 386,6718 is 1296574.
The greatest common factor of 4322/386,5684/6718 = [GCF of 4322,5684]/[LCM of 386,6718]= 2/1296574
Therefore, the GCF of 4322/386,5684/6718 is 2/1296574.
To find the highest common factor of 4322,5684, we have to find the factors of both numbers and list the highest common factor.
The factors of 4322 are 1, 2, 2161, 4322
The factors of 5684 are 1, 2, 4, 7, 14, 28, 29, 49, 58, 98, 116, 196, 203, 406, 812, 1421, 2842, 5684
The HCF of 4322,5684 is 2.
Lets's calculate GCF of 4322,5684
| 2 | 4322, 5684 |
| 2161, 2842 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 4322,5684 By Matching Biggest Common Factor Method
Now, list down the factors of 4322
:1,2,2161,4322
Now, list down the factors of 5684
:1,2,4,7,14,28,29,49,58,98,116,196,203,406,812,1421,2842,5684
Greatest Common Factor
We found the factors 4322,5684 . The biggest common factor number is the GCF number.
So the greatest common factor 4322,5684 is 2.
Lets's calculate LCM of 386,6718
| 2 | 386, 6718 |
| 193, 3359 |
∴ So the LCM of the given numbers is 2 x 193 x 3359 = 1296574
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1296574
Therefore, the GCF of Fractions 4322/386,5684/6718 is 2/1296574
Least Common Multiple of 386,6718 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 386,6718 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(386,6718) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(386,6718) x common factors =2 x 1 = 2
LCM(386,6718) = ( 386 × 6718 ) / 2
LCM(386,6718) = 2593148 / 2
LCM(386,6718) = 1296574
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FAQs on GCF of Fractions of 4322/386, 5684/6718
1. What is the HCF of 4322,5684?
The HCF of 4322,5684 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 4322/386, 5684/6718?
Answer: GCF of Numerators as per given numbers 4322/386, 5684/6718 is
GCF of Numerators i.e. for 4322,5684 is 2
LCM of denominators i.e. for 386,6718 is 1296574.
Thus, GCF of Fractions is 2/1296574.Finally, GCF of Fractions for 4322/386, 5684/6718 is 2/1296574.