GCF of 4455/530, 4417/443
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4455/530, 4417/443 i.e 1/234790 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4455/530, 4417/443.
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 4455/530,4417/443?
Given fractions are 4455/530,4417/443
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 4455/530,4417/443, numerators are 4455,4417
Denominators are 530,443
The GCF of 4455,4417 is 1 .
LCM of 530,443 is 234790.
The greatest common factor of 4455/530,4417/443 = [GCF of 4455,4417]/[LCM of 530,443]= 1/234790
Therefore, the GCF of 4455/530,4417/443 is 1/234790.
To find the highest common factor of 4455,4417, 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 4417 are 1, 7, 631, 4417
The HCF of 4455,4417 is 1.
Lets's calculate GCF of 4455,4417
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4455,4417 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 4417
:1,7,631,4417
Greatest Common Factor
We found the factors 4455,4417 . The biggest common factor number is the GCF number.
So the greatest common factor 4455,4417 is 1.
Lets's calculate LCM of 530,443
Given numbers has no common factors except 1. So, there LCM is their product i.e 234790
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/234790
Therefore, the GCF of Fractions 4455/530,4417/443 is 1/234790
Least Common Multiple of 530,443 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 530,443 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(530,443) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(530,443) x common factors =1 x 1 = 1
LCM(530,443) = ( 530 × 443 ) / 1
LCM(530,443) = 234790 / 1
LCM(530,443) = 234790
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FAQs on GCF of Fractions of 4455/530, 4417/443
1. What is the HCF of 4455,4417?
The HCF of 4455,4417 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 4455/530, 4417/443?
Answer: GCF of Numerators as per given numbers 4455/530, 4417/443 is
GCF of Numerators i.e. for 4455,4417 is 1
LCM of denominators i.e. for 530,443 is 234790.
Thus, GCF of Fractions is 1/234790.Finally, GCF of Fractions for 4455/530, 4417/443 is 1/234790.