GCF of 4046/421, 4706/3229
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4046/421, 4706/3229 i.e 2/1359409 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4046/421, 4706/3229.
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 4046/421,4706/3229?
Given fractions are 4046/421,4706/3229
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 4046/421,4706/3229, numerators are 4046,4706
Denominators are 421,3229
The GCF of 4046,4706 is 2 .
LCM of 421,3229 is 1359409.
The greatest common factor of 4046/421,4706/3229 = [GCF of 4046,4706]/[LCM of 421,3229]= 2/1359409
Therefore, the GCF of 4046/421,4706/3229 is 2/1359409.
To find the highest common factor of 4046,4706, we have to find the factors of both numbers and list the highest common factor.
The factors of 4046 are 1, 2, 7, 14, 17, 34, 119, 238, 289, 578, 2023, 4046
The factors of 4706 are 1, 2, 13, 26, 181, 362, 2353, 4706
The HCF of 4046,4706 is 2.
Lets's calculate GCF of 4046,4706
| 2 | 4046, 4706 |
| 2023, 2353 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 4046,4706 By Matching Biggest Common Factor Method
Now, list down the factors of 4046
:1,2,7,14,17,34,119,238,289,578,2023,4046
Now, list down the factors of 4706
:1,2,13,26,181,362,2353,4706
Greatest Common Factor
We found the factors 4046,4706 . The biggest common factor number is the GCF number.
So the greatest common factor 4046,4706 is 2.
Lets's calculate LCM of 421,3229
Given numbers has no common factors except 1. So, there LCM is their product i.e 1359409
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1359409
Therefore, the GCF of Fractions 4046/421,4706/3229 is 2/1359409
Least Common Multiple of 421,3229 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 421,3229 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(421,3229) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(421,3229) x common factors =1 x 1 = 1
LCM(421,3229) = ( 421 × 3229 ) / 1
LCM(421,3229) = 1359409 / 1
LCM(421,3229) = 1359409
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 4046/421, 4706/3229
1. What is the HCF of 4046,4706?
The HCF of 4046,4706 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 4046/421, 4706/3229?
Answer: GCF of Numerators as per given numbers 4046/421, 4706/3229 is
GCF of Numerators i.e. for 4046,4706 is 2
LCM of denominators i.e. for 421,3229 is 1359409.
Thus, GCF of Fractions is 2/1359409.Finally, GCF of Fractions for 4046/421, 4706/3229 is 2/1359409.