GCF of 4825/102, 5575/3200
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4825/102, 5575/3200 i.e 25/163200 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4825/102, 5575/3200.
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 4825/102,5575/3200?
Given fractions are 4825/102,5575/3200
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 4825/102,5575/3200, numerators are 4825,5575
Denominators are 102,3200
The GCF of 4825,5575 is 25 .
LCM of 102,3200 is 163200.
The greatest common factor of 4825/102,5575/3200 = [GCF of 4825,5575]/[LCM of 102,3200]= 25/163200
Therefore, the GCF of 4825/102,5575/3200 is 25/163200.
To find the highest common factor of 4825,5575, we have to find the factors of both numbers and list the highest common factor.
The factors of 4825 are 1, 5, 25, 193, 965, 4825
The factors of 5575 are 1, 5, 25, 223, 1115, 5575
The HCF of 4825,5575 is 25.
Lets's calculate GCF of 4825,5575
| 5 | 4825, 5575 |
| 5 | 965, 1115 |
| 193, 223 |
∴ So the GCF of the given numbers is 5 x 5 = 25
Greatest Common Factor of 4825,5575 By Matching Biggest Common Factor Method
Now, list down the factors of 4825
:1,5,25,193,965,4825
Now, list down the factors of 5575
:1,5,25,223,1115,5575
Greatest Common Factor
We found the factors 4825,5575 . The biggest common factor number is the GCF number.
So the greatest common factor 4825,5575 is 25.
Lets's calculate LCM of 102,3200
| 2 | 102, 3200 |
| 51, 1600 |
∴ So the LCM of the given numbers is 2 x 51 x 1600 = 163200
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 25/163200
Therefore, the GCF of Fractions 4825/102,5575/3200 is 25/163200
Least Common Multiple of 102,3200 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 102,3200 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(102,3200) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(102,3200) x common factors =2 x 1 = 2
LCM(102,3200) = ( 102 × 3200 ) / 2
LCM(102,3200) = 326400 / 2
LCM(102,3200) = 163200
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 4825/102, 5575/3200
1. What is the HCF of 4825,5575?
The HCF of 4825,5575 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 4825/102, 5575/3200?
Answer: GCF of Numerators as per given numbers 4825/102, 5575/3200 is
GCF of Numerators i.e. for 4825,5575 is 25
LCM of denominators i.e. for 102,3200 is 163200.
Thus, GCF of Fractions is 25/163200.Finally, GCF of Fractions for 4825/102, 5575/3200 is 25/163200.