GCF of 4485/127, 1477/4524
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4485/127, 1477/4524 i.e 1/574548 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4485/127, 1477/4524.
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 4485/127,1477/4524?
Given fractions are 4485/127,1477/4524
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 4485/127,1477/4524, numerators are 4485,1477
Denominators are 127,4524
The GCF of 4485,1477 is 1 .
LCM of 127,4524 is 574548.
The greatest common factor of 4485/127,1477/4524 = [GCF of 4485,1477]/[LCM of 127,4524]= 1/574548
Therefore, the GCF of 4485/127,1477/4524 is 1/574548.
To find the highest common factor of 4485,1477, we have to find the factors of both numbers and list the highest common factor.
The factors of 4485 are 1, 3, 5, 13, 15, 23, 39, 65, 69, 115, 195, 299, 345, 897, 1495, 4485
The factors of 1477 are 1, 7, 211, 1477
The HCF of 4485,1477 is 1.
Lets's calculate GCF of 4485,1477
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4485,1477 By Matching Biggest Common Factor Method
Now, list down the factors of 4485
:1,3,5,13,15,23,39,65,69,115,195,299,345,897,1495,4485
Now, list down the factors of 1477
:1,7,211,1477
Greatest Common Factor
We found the factors 4485,1477 . The biggest common factor number is the GCF number.
So the greatest common factor 4485,1477 is 1.
Lets's calculate LCM of 127,4524
Given numbers has no common factors except 1. So, there LCM is their product i.e 574548
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/574548
Therefore, the GCF of Fractions 4485/127,1477/4524 is 1/574548
Least Common Multiple of 127,4524 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 127,4524 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(127,4524) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(127,4524) x common factors =1 x 1 = 1
LCM(127,4524) = ( 127 × 4524 ) / 1
LCM(127,4524) = 574548 / 1
LCM(127,4524) = 574548
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FAQs on GCF of Fractions of 4485/127, 1477/4524
1. What is the HCF of 4485,1477?
The HCF of 4485,1477 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 4485/127, 1477/4524?
Answer: GCF of Numerators as per given numbers 4485/127, 1477/4524 is
GCF of Numerators i.e. for 4485,1477 is 1
LCM of denominators i.e. for 127,4524 is 574548.
Thus, GCF of Fractions is 1/574548.Finally, GCF of Fractions for 4485/127, 1477/4524 is 1/574548.