GCF of 4471/304, 3800/1567
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4471/304, 3800/1567 i.e 1/476368 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4471/304, 3800/1567.
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 4471/304,3800/1567?
Given fractions are 4471/304,3800/1567
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 4471/304,3800/1567, numerators are 4471,3800
Denominators are 304,1567
The GCF of 4471,3800 is 1 .
LCM of 304,1567 is 476368.
The greatest common factor of 4471/304,3800/1567 = [GCF of 4471,3800]/[LCM of 304,1567]= 1/476368
Therefore, the GCF of 4471/304,3800/1567 is 1/476368.
To find the highest common factor of 4471,3800, we have to find the factors of both numbers and list the highest common factor.
The factors of 4471 are 1, 17, 263, 4471
The factors of 3800 are 1, 2, 4, 5, 8, 10, 19, 20, 25, 38, 40, 50, 76, 95, 100, 152, 190, 200, 380, 475, 760, 950, 1900, 3800
The HCF of 4471,3800 is 1.
Lets's calculate GCF of 4471,3800
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4471,3800 By Matching Biggest Common Factor Method
Now, list down the factors of 4471
:1,17,263,4471
Now, list down the factors of 3800
:1,2,4,5,8,10,19,20,25,38,40,50,76,95,100,152,190,200,380,475,760,950,1900,3800
Greatest Common Factor
We found the factors 4471,3800 . The biggest common factor number is the GCF number.
So the greatest common factor 4471,3800 is 1.
Lets's calculate LCM of 304,1567
Given numbers has no common factors except 1. So, there LCM is their product i.e 476368
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/476368
Therefore, the GCF of Fractions 4471/304,3800/1567 is 1/476368
Least Common Multiple of 304,1567 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 304,1567 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(304,1567) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(304,1567) x common factors =1 x 1 = 1
LCM(304,1567) = ( 304 × 1567 ) / 1
LCM(304,1567) = 476368 / 1
LCM(304,1567) = 476368
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 4471/304, 3800/1567
1. What is the HCF of 4471,3800?
The HCF of 4471,3800 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 4471/304, 3800/1567?
Answer: GCF of Numerators as per given numbers 4471/304, 3800/1567 is
GCF of Numerators i.e. for 4471,3800 is 1
LCM of denominators i.e. for 304,1567 is 476368.
Thus, GCF of Fractions is 1/476368.Finally, GCF of Fractions for 4471/304, 3800/1567 is 1/476368.