GCF of 4399/744, 4386/3820
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4399/744, 4386/3820 i.e 1/710520 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4399/744, 4386/3820.
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 4399/744,4386/3820?
Given fractions are 4399/744,4386/3820
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 4399/744,4386/3820, numerators are 4399,4386
Denominators are 744,3820
The GCF of 4399,4386 is 1 .
LCM of 744,3820 is 710520.
The greatest common factor of 4399/744,4386/3820 = [GCF of 4399,4386]/[LCM of 744,3820]= 1/710520
Therefore, the GCF of 4399/744,4386/3820 is 1/710520.
To find the highest common factor of 4399,4386, we have to find the factors of both numbers and list the highest common factor.
The factors of 4399 are 1, 53, 83, 4399
The factors of 4386 are 1, 2, 3, 6, 17, 34, 43, 51, 86, 102, 129, 258, 731, 1462, 2193, 4386
The HCF of 4399,4386 is 1.
Lets's calculate GCF of 4399,4386
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4399,4386 By Matching Biggest Common Factor Method
Now, list down the factors of 4399
:1,53,83,4399
Now, list down the factors of 4386
:1,2,3,6,17,34,43,51,86,102,129,258,731,1462,2193,4386
Greatest Common Factor
We found the factors 4399,4386 . The biggest common factor number is the GCF number.
So the greatest common factor 4399,4386 is 1.
Lets's calculate LCM of 744,3820
| 2 | 744, 3820 |
| 2 | 372, 1910 |
| 186, 955 |
∴ So the LCM of the given numbers is 2 x 2 x 186 x 955 = 710520
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/710520
Therefore, the GCF of Fractions 4399/744,4386/3820 is 1/710520
Least Common Multiple of 744,3820 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 744,3820 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(744,3820) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(744,3820) x common factors =4 x 1 = 4
LCM(744,3820) = ( 744 × 3820 ) / 4
LCM(744,3820) = 2842080 / 4
LCM(744,3820) = 710520
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FAQs on GCF of Fractions of 4399/744, 4386/3820
1. What is the HCF of 4399,4386?
The HCF of 4399,4386 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 4399/744, 4386/3820?
Answer: GCF of Numerators as per given numbers 4399/744, 4386/3820 is
GCF of Numerators i.e. for 4399,4386 is 1
LCM of denominators i.e. for 744,3820 is 710520.
Thus, GCF of Fractions is 1/710520.Finally, GCF of Fractions for 4399/744, 4386/3820 is 1/710520.