GCF of 4412/373, 1287/7297
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4412/373, 1287/7297 i.e 1/2721781 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4412/373, 1287/7297.
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 4412/373,1287/7297?
Given fractions are 4412/373,1287/7297
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 4412/373,1287/7297, numerators are 4412,1287
Denominators are 373,7297
The GCF of 4412,1287 is 1 .
LCM of 373,7297 is 2721781.
The greatest common factor of 4412/373,1287/7297 = [GCF of 4412,1287]/[LCM of 373,7297]= 1/2721781
Therefore, the GCF of 4412/373,1287/7297 is 1/2721781.
To find the highest common factor of 4412,1287, we have to find the factors of both numbers and list the highest common factor.
The factors of 4412 are 1, 2, 4, 1103, 2206, 4412
The factors of 1287 are 1, 3, 9, 11, 13, 33, 39, 99, 117, 143, 429, 1287
The HCF of 4412,1287 is 1.
Lets's calculate GCF of 4412,1287
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4412,1287 By Matching Biggest Common Factor Method
Now, list down the factors of 4412
:1,2,4,1103,2206,4412
Now, list down the factors of 1287
:1,3,9,11,13,33,39,99,117,143,429,1287
Greatest Common Factor
We found the factors 4412,1287 . The biggest common factor number is the GCF number.
So the greatest common factor 4412,1287 is 1.
Lets's calculate LCM of 373,7297
Given numbers has no common factors except 1. So, there LCM is their product i.e 2721781
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2721781
Therefore, the GCF of Fractions 4412/373,1287/7297 is 1/2721781
Least Common Multiple of 373,7297 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 373,7297 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(373,7297) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(373,7297) x common factors =1 x 1 = 1
LCM(373,7297) = ( 373 × 7297 ) / 1
LCM(373,7297) = 2721781 / 1
LCM(373,7297) = 2721781
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 4412/373, 1287/7297
1. What is the HCF of 4412,1287?
The HCF of 4412,1287 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 4412/373, 1287/7297?
Answer: GCF of Numerators as per given numbers 4412/373, 1287/7297 is
GCF of Numerators i.e. for 4412,1287 is 1
LCM of denominators i.e. for 373,7297 is 2721781.
Thus, GCF of Fractions is 1/2721781.Finally, GCF of Fractions for 4412/373, 1287/7297 is 1/2721781.