GCF of 4455/529, 8305/6671
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4455/529, 8305/6671 i.e 55/3528959 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4455/529, 8305/6671.
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 4455/529,8305/6671?
Given fractions are 4455/529,8305/6671
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 4455/529,8305/6671, numerators are 4455,8305
Denominators are 529,6671
The GCF of 4455,8305 is 55 .
LCM of 529,6671 is 3528959.
The greatest common factor of 4455/529,8305/6671 = [GCF of 4455,8305]/[LCM of 529,6671]= 55/3528959
Therefore, the GCF of 4455/529,8305/6671 is 55/3528959.
To find the highest common factor of 4455,8305, we have to find the factors of both numbers and list the highest common factor.
The factors of 4455 are 1, 3, 5, 9, 11, 15, 27, 33, 45, 55, 81, 99, 135, 165, 297, 405, 495, 891, 1485, 4455
The factors of 8305 are 1, 5, 11, 55, 151, 755, 1661, 8305
The HCF of 4455,8305 is 55.
Lets's calculate GCF of 4455,8305
| 5 | 4455, 8305 |
| 11 | 891, 1661 |
| 81, 151 |
∴ So the GCF of the given numbers is 5 x 11 = 55
Greatest Common Factor of 4455,8305 By Matching Biggest Common Factor Method
Now, list down the factors of 4455
:1,3,5,9,11,15,27,33,45,55,81,99,135,165,297,405,495,891,1485,4455
Now, list down the factors of 8305
:1,5,11,55,151,755,1661,8305
Greatest Common Factor
We found the factors 4455,8305 . The biggest common factor number is the GCF number.
So the greatest common factor 4455,8305 is 55.
Lets's calculate LCM of 529,6671
Given numbers has no common factors except 1. So, there LCM is their product i.e 3528959
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 55/3528959
Therefore, the GCF of Fractions 4455/529,8305/6671 is 55/3528959
Least Common Multiple of 529,6671 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 529,6671 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(529,6671) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(529,6671) x common factors =1 x 1 = 1
LCM(529,6671) = ( 529 × 6671 ) / 1
LCM(529,6671) = 3528959 / 1
LCM(529,6671) = 3528959
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 4455/529, 8305/6671
1. What is the HCF of 4455,8305?
The HCF of 4455,8305 is 55
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 4455/529, 8305/6671?
Answer: GCF of Numerators as per given numbers 4455/529, 8305/6671 is
GCF of Numerators i.e. for 4455,8305 is 55
LCM of denominators i.e. for 529,6671 is 3528959.
Thus, GCF of Fractions is 55/3528959.Finally, GCF of Fractions for 4455/529, 8305/6671 is 55/3528959.