GCF of 4407/466, 2326/832
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4407/466, 2326/832 i.e 1/193856 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4407/466, 2326/832.
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 4407/466,2326/832?
Given fractions are 4407/466,2326/832
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 4407/466,2326/832, numerators are 4407,2326
Denominators are 466,832
The GCF of 4407,2326 is 1 .
LCM of 466,832 is 193856.
The greatest common factor of 4407/466,2326/832 = [GCF of 4407,2326]/[LCM of 466,832]= 1/193856
Therefore, the GCF of 4407/466,2326/832 is 1/193856.
To find the highest common factor of 4407,2326, we have to find the factors of both numbers and list the highest common factor.
The factors of 4407 are 1, 3, 13, 39, 113, 339, 1469, 4407
The factors of 2326 are 1, 2, 1163, 2326
The HCF of 4407,2326 is 1.
Lets's calculate GCF of 4407,2326
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4407,2326 By Matching Biggest Common Factor Method
Now, list down the factors of 4407
:1,3,13,39,113,339,1469,4407
Now, list down the factors of 2326
:1,2,1163,2326
Greatest Common Factor
We found the factors 4407,2326 . The biggest common factor number is the GCF number.
So the greatest common factor 4407,2326 is 1.
Lets's calculate LCM of 466,832
| 2 | 466, 832 |
| 233, 416 |
∴ So the LCM of the given numbers is 2 x 233 x 416 = 193856
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/193856
Therefore, the GCF of Fractions 4407/466,2326/832 is 1/193856
Least Common Multiple of 466,832 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 466,832 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(466,832) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(466,832) x common factors =2 x 1 = 2
LCM(466,832) = ( 466 × 832 ) / 2
LCM(466,832) = 387712 / 2
LCM(466,832) = 193856
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FAQs on GCF of Fractions of 4407/466, 2326/832
1. What is the HCF of 4407,2326?
The HCF of 4407,2326 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 4407/466, 2326/832?
Answer: GCF of Numerators as per given numbers 4407/466, 2326/832 is
GCF of Numerators i.e. for 4407,2326 is 1
LCM of denominators i.e. for 466,832 is 193856.
Thus, GCF of Fractions is 1/193856.Finally, GCF of Fractions for 4407/466, 2326/832 is 1/193856.