GCF of 4325/759, 6400/6502
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4325/759, 6400/6502 i.e 25/4935018 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4325/759, 6400/6502.
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 4325/759,6400/6502?
Given fractions are 4325/759,6400/6502
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 4325/759,6400/6502, numerators are 4325,6400
Denominators are 759,6502
The GCF of 4325,6400 is 25 .
LCM of 759,6502 is 4935018.
The greatest common factor of 4325/759,6400/6502 = [GCF of 4325,6400]/[LCM of 759,6502]= 25/4935018
Therefore, the GCF of 4325/759,6400/6502 is 25/4935018.
To find the highest common factor of 4325,6400, we have to find the factors of both numbers and list the highest common factor.
The factors of 4325 are 1, 5, 25, 173, 865, 4325
The factors of 6400 are 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 64, 80, 100, 128, 160, 200, 256, 320, 400, 640, 800, 1280, 1600, 3200, 6400
The HCF of 4325,6400 is 25.
Lets's calculate GCF of 4325,6400
| 5 | 4325, 6400 |
| 5 | 865, 1280 |
| 173, 256 |
∴ So the GCF of the given numbers is 5 x 5 = 25
Greatest Common Factor of 4325,6400 By Matching Biggest Common Factor Method
Now, list down the factors of 4325
:1,5,25,173,865,4325
Now, list down the factors of 6400
:1,2,4,5,8,10,16,20,25,32,40,50,64,80,100,128,160,200,256,320,400,640,800,1280,1600,3200,6400
Greatest Common Factor
We found the factors 4325,6400 . The biggest common factor number is the GCF number.
So the greatest common factor 4325,6400 is 25.
Lets's calculate LCM of 759,6502
Given numbers has no common factors except 1. So, there LCM is their product i.e 4935018
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 25/4935018
Therefore, the GCF of Fractions 4325/759,6400/6502 is 25/4935018
Least Common Multiple of 759,6502 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 759,6502 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(759,6502) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(759,6502) x common factors =1 x 1 = 1
LCM(759,6502) = ( 759 × 6502 ) / 1
LCM(759,6502) = 4935018 / 1
LCM(759,6502) = 4935018
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 4325/759, 6400/6502
1. What is the HCF of 4325,6400?
The HCF of 4325,6400 is 25
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 4325/759, 6400/6502?
Answer: GCF of Numerators as per given numbers 4325/759, 6400/6502 is
GCF of Numerators i.e. for 4325,6400 is 25
LCM of denominators i.e. for 759,6502 is 4935018.
Thus, GCF of Fractions is 25/4935018.Finally, GCF of Fractions for 4325/759, 6400/6502 is 25/4935018.