GCF of 444/641, 8547/464
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 444/641, 8547/464 i.e 111/297424 easily. The following is the detailed procedure to determine the greatest common factor of fractions 444/641, 8547/464.
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 444/641,8547/464?
Given fractions are 444/641,8547/464
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 444/641,8547/464, numerators are 444,8547
Denominators are 641,464
The GCF of 444,8547 is 111 .
LCM of 641,464 is 297424.
The greatest common factor of 444/641,8547/464 = [GCF of 444,8547]/[LCM of 641,464]= 111/297424
Therefore, the GCF of 444/641,8547/464 is 111/297424.
To find the highest common factor of 444,8547, we have to find the factors of both numbers and list the highest common factor.
The factors of 444 are 1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444
The factors of 8547 are 1, 3, 7, 11, 21, 33, 37, 77, 111, 231, 259, 407, 777, 1221, 2849, 8547
The HCF of 444,8547 is 111.
Lets's calculate GCF of 444,8547
| 3 | 444, 8547 |
| 37 | 148, 2849 |
| 4, 77 |
∴ So the GCF of the given numbers is 3 x 37 = 111
Greatest Common Factor of 444,8547 By Matching Biggest Common Factor Method
Now, list down the factors of 444
:1,2,3,4,6,12,37,74,111,148,222,444
Now, list down the factors of 8547
:1,3,7,11,21,33,37,77,111,231,259,407,777,1221,2849,8547
Greatest Common Factor
We found the factors 444,8547 . The biggest common factor number is the GCF number.
So the greatest common factor 444,8547 is 111.
Lets's calculate LCM of 641,464
Given numbers has no common factors except 1. So, there LCM is their product i.e 297424
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 111/297424
Therefore, the GCF of Fractions 444/641,8547/464 is 111/297424
Least Common Multiple of 641,464 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 641,464 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(641,464) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(641,464) x common factors =1 x 1 = 1
LCM(641,464) = ( 641 × 464 ) / 1
LCM(641,464) = 297424 / 1
LCM(641,464) = 297424
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FAQs on GCF of Fractions of 444/641, 8547/464
1. What is the HCF of 444,8547?
The HCF of 444,8547 is 111
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 444/641, 8547/464?
Answer: GCF of Numerators as per given numbers 444/641, 8547/464 is
GCF of Numerators i.e. for 444,8547 is 111
LCM of denominators i.e. for 641,464 is 297424.
Thus, GCF of Fractions is 111/297424.Finally, GCF of Fractions for 444/641, 8547/464 is 111/297424.