GCF of 4090/256, 8500/3252
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4090/256, 8500/3252 i.e 10/208128 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4090/256, 8500/3252.
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 4090/256,8500/3252?
Given fractions are 4090/256,8500/3252
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 4090/256,8500/3252, numerators are 4090,8500
Denominators are 256,3252
The GCF of 4090,8500 is 10 .
LCM of 256,3252 is 208128.
The greatest common factor of 4090/256,8500/3252 = [GCF of 4090,8500]/[LCM of 256,3252]= 10/208128
Therefore, the GCF of 4090/256,8500/3252 is 10/208128.
To find the highest common factor of 4090,8500, we have to find the factors of both numbers and list the highest common factor.
The factors of 4090 are 1, 2, 5, 10, 409, 818, 2045, 4090
The factors of 8500 are 1, 2, 4, 5, 10, 17, 20, 25, 34, 50, 68, 85, 100, 125, 170, 250, 340, 425, 500, 850, 1700, 2125, 4250, 8500
The HCF of 4090,8500 is 10.
Lets's calculate GCF of 4090,8500
| 2 | 4090, 8500 |
| 5 | 2045, 4250 |
| 409, 850 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Greatest Common Factor of 4090,8500 By Matching Biggest Common Factor Method
Now, list down the factors of 4090
:1,2,5,10,409,818,2045,4090
Now, list down the factors of 8500
:1,2,4,5,10,17,20,25,34,50,68,85,100,125,170,250,340,425,500,850,1700,2125,4250,8500
Greatest Common Factor
We found the factors 4090,8500 . The biggest common factor number is the GCF number.
So the greatest common factor 4090,8500 is 10.
Lets's calculate LCM of 256,3252
| 2 | 256, 3252 |
| 2 | 128, 1626 |
| 64, 813 |
∴ So the LCM of the given numbers is 2 x 2 x 64 x 813 = 208128
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/208128
Therefore, the GCF of Fractions 4090/256,8500/3252 is 10/208128
Least Common Multiple of 256,3252 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 256,3252 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(256,3252) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(256,3252) x common factors =4 x 1 = 4
LCM(256,3252) = ( 256 × 3252 ) / 4
LCM(256,3252) = 832512 / 4
LCM(256,3252) = 208128
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FAQs on GCF of Fractions of 4090/256, 8500/3252
1. What is the HCF of 4090,8500?
The HCF of 4090,8500 is 10
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 4090/256, 8500/3252?
Answer: GCF of Numerators as per given numbers 4090/256, 8500/3252 is
GCF of Numerators i.e. for 4090,8500 is 10
LCM of denominators i.e. for 256,3252 is 208128.
Thus, GCF of Fractions is 10/208128.Finally, GCF of Fractions for 4090/256, 8500/3252 is 10/208128.