GCF of 4352/259, 4000/8329
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4352/259, 4000/8329 i.e 32/2157211 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4352/259, 4000/8329.
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 4352/259,4000/8329?
Given fractions are 4352/259,4000/8329
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 4352/259,4000/8329, numerators are 4352,4000
Denominators are 259,8329
The GCF of 4352,4000 is 32 .
LCM of 259,8329 is 2157211.
The greatest common factor of 4352/259,4000/8329 = [GCF of 4352,4000]/[LCM of 259,8329]= 32/2157211
Therefore, the GCF of 4352/259,4000/8329 is 32/2157211.
To find the highest common factor of 4352,4000, we have to find the factors of both numbers and list the highest common factor.
The factors of 4352 are 1, 2, 4, 8, 16, 17, 32, 34, 64, 68, 128, 136, 256, 272, 544, 1088, 2176, 4352
The factors of 4000 are 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 125, 160, 200, 250, 400, 500, 800, 1000, 2000, 4000
The HCF of 4352,4000 is 32.
Lets's calculate GCF of 4352,4000
| 2 | 4352, 4000 |
| 2 | 2176, 2000 |
| 2 | 1088, 1000 |
| 2 | 544, 500 |
| 2 | 272, 250 |
| 136, 125 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 x 2 = 32
Greatest Common Factor of 4352,4000 By Matching Biggest Common Factor Method
Now, list down the factors of 4352
:1,2,4,8,16,17,32,34,64,68,128,136,256,272,544,1088,2176,4352
Now, list down the factors of 4000
:1,2,4,5,8,10,16,20,25,32,40,50,80,100,125,160,200,250,400,500,800,1000,2000,4000
Greatest Common Factor
We found the factors 4352,4000 . The biggest common factor number is the GCF number.
So the greatest common factor 4352,4000 is 32.
Lets's calculate LCM of 259,8329
Given numbers has no common factors except 1. So, there LCM is their product i.e 2157211
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 32/2157211
Therefore, the GCF of Fractions 4352/259,4000/8329 is 32/2157211
Least Common Multiple of 259,8329 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 259,8329 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(259,8329) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(259,8329) x common factors =1 x 1 = 1
LCM(259,8329) = ( 259 × 8329 ) / 1
LCM(259,8329) = 2157211 / 1
LCM(259,8329) = 2157211
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FAQs on GCF of Fractions of 4352/259, 4000/8329
1. What is the HCF of 4352,4000?
The HCF of 4352,4000 is 32
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 4352/259, 4000/8329?
Answer: GCF of Numerators as per given numbers 4352/259, 4000/8329 is
GCF of Numerators i.e. for 4352,4000 is 32
LCM of denominators i.e. for 259,8329 is 2157211.
Thus, GCF of Fractions is 32/2157211.Finally, GCF of Fractions for 4352/259, 4000/8329 is 32/2157211.