GCF of 4465/317, 3200/8900
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4465/317, 3200/8900 i.e 5/2821300 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4465/317, 3200/8900.
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 4465/317,3200/8900?
Given fractions are 4465/317,3200/8900
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 4465/317,3200/8900, numerators are 4465,3200
Denominators are 317,8900
The GCF of 4465,3200 is 5 .
LCM of 317,8900 is 2821300.
The greatest common factor of 4465/317,3200/8900 = [GCF of 4465,3200]/[LCM of 317,8900]= 5/2821300
Therefore, the GCF of 4465/317,3200/8900 is 5/2821300.
To find the highest common factor of 4465,3200, we have to find the factors of both numbers and list the highest common factor.
The factors of 4465 are 1, 5, 19, 47, 95, 235, 893, 4465
The factors of 3200 are 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 64, 80, 100, 128, 160, 200, 320, 400, 640, 800, 1600, 3200
The HCF of 4465,3200 is 5.
Lets's calculate GCF of 4465,3200
| 5 | 4465, 3200 |
| 893, 640 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 4465,3200 By Matching Biggest Common Factor Method
Now, list down the factors of 4465
:1,5,19,47,95,235,893,4465
Now, list down the factors of 3200
:1,2,4,5,8,10,16,20,25,32,40,50,64,80,100,128,160,200,320,400,640,800,1600,3200
Greatest Common Factor
We found the factors 4465,3200 . The biggest common factor number is the GCF number.
So the greatest common factor 4465,3200 is 5.
Lets's calculate LCM of 317,8900
Given numbers has no common factors except 1. So, there LCM is their product i.e 2821300
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/2821300
Therefore, the GCF of Fractions 4465/317,3200/8900 is 5/2821300
Least Common Multiple of 317,8900 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 317,8900 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(317,8900) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(317,8900) x common factors =1 x 1 = 1
LCM(317,8900) = ( 317 × 8900 ) / 1
LCM(317,8900) = 2821300 / 1
LCM(317,8900) = 2821300
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FAQs on GCF of Fractions of 4465/317, 3200/8900
1. What is the HCF of 4465,3200?
The HCF of 4465,3200 is 5
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 4465/317, 3200/8900?
Answer: GCF of Numerators as per given numbers 4465/317, 3200/8900 is
GCF of Numerators i.e. for 4465,3200 is 5
LCM of denominators i.e. for 317,8900 is 2821300.
Thus, GCF of Fractions is 5/2821300.Finally, GCF of Fractions for 4465/317, 3200/8900 is 5/2821300.