GCF of 4862/439, 5273/7483
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4862/439, 5273/7483 i.e 1/3285037 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4862/439, 5273/7483.
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 4862/439,5273/7483?
Given fractions are 4862/439,5273/7483
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 4862/439,5273/7483, numerators are 4862,5273
Denominators are 439,7483
The GCF of 4862,5273 is 1 .
LCM of 439,7483 is 3285037.
The greatest common factor of 4862/439,5273/7483 = [GCF of 4862,5273]/[LCM of 439,7483]= 1/3285037
Therefore, the GCF of 4862/439,5273/7483 is 1/3285037.
To find the highest common factor of 4862,5273, we have to find the factors of both numbers and list the highest common factor.
The factors of 4862 are 1, 2, 11, 13, 17, 22, 26, 34, 143, 187, 221, 286, 374, 442, 2431, 4862
The factors of 5273 are 1, 5273
The HCF of 4862,5273 is 1.
Lets's calculate GCF of 4862,5273
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4862,5273 By Matching Biggest Common Factor Method
Now, list down the factors of 4862
:1,2,11,13,17,22,26,34,143,187,221,286,374,442,2431,4862
Now, list down the factors of 5273
:1,5273
Greatest Common Factor
We found the factors 4862,5273 . The biggest common factor number is the GCF number.
So the greatest common factor 4862,5273 is 1.
Lets's calculate LCM of 439,7483
Given numbers has no common factors except 1. So, there LCM is their product i.e 3285037
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3285037
Therefore, the GCF of Fractions 4862/439,5273/7483 is 1/3285037
Least Common Multiple of 439,7483 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 439,7483 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(439,7483) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(439,7483) x common factors =1 x 1 = 1
LCM(439,7483) = ( 439 × 7483 ) / 1
LCM(439,7483) = 3285037 / 1
LCM(439,7483) = 3285037
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FAQs on GCF of Fractions of 4862/439, 5273/7483
1. What is the HCF of 4862,5273?
The HCF of 4862,5273 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 4862/439, 5273/7483?
Answer: GCF of Numerators as per given numbers 4862/439, 5273/7483 is
GCF of Numerators i.e. for 4862,5273 is 1
LCM of denominators i.e. for 439,7483 is 3285037.
Thus, GCF of Fractions is 1/3285037.Finally, GCF of Fractions for 4862/439, 5273/7483 is 1/3285037.