GCF of 4075/624, 3725/6376
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4075/624, 3725/6376 i.e 25/497328 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4075/624, 3725/6376.
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 4075/624,3725/6376?
Given fractions are 4075/624,3725/6376
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 4075/624,3725/6376, numerators are 4075,3725
Denominators are 624,6376
The GCF of 4075,3725 is 25 .
LCM of 624,6376 is 497328.
The greatest common factor of 4075/624,3725/6376 = [GCF of 4075,3725]/[LCM of 624,6376]= 25/497328
Therefore, the GCF of 4075/624,3725/6376 is 25/497328.
To find the highest common factor of 4075,3725, we have to find the factors of both numbers and list the highest common factor.
The factors of 4075 are 1, 5, 25, 163, 815, 4075
The factors of 3725 are 1, 5, 25, 149, 745, 3725
The HCF of 4075,3725 is 25.
Lets's calculate GCF of 4075,3725
| 5 | 4075, 3725 |
| 5 | 815, 745 |
| 163, 149 |
∴ So the GCF of the given numbers is 5 x 5 = 25
Greatest Common Factor of 4075,3725 By Matching Biggest Common Factor Method
Now, list down the factors of 4075
:1,5,25,163,815,4075
Now, list down the factors of 3725
:1,5,25,149,745,3725
Greatest Common Factor
We found the factors 4075,3725 . The biggest common factor number is the GCF number.
So the greatest common factor 4075,3725 is 25.
Lets's calculate LCM of 624,6376
| 2 | 624, 6376 |
| 2 | 312, 3188 |
| 2 | 156, 1594 |
| 78, 797 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 78 x 797 = 497328
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 25/497328
Therefore, the GCF of Fractions 4075/624,3725/6376 is 25/497328
Least Common Multiple of 624,6376 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 624,6376 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(624,6376) = 8
common factors(in case of two or more numbers have common factors) = 1
GCF(624,6376) x common factors =8 x 1 = 8
LCM(624,6376) = ( 624 × 6376 ) / 8
LCM(624,6376) = 3978624 / 8
LCM(624,6376) = 497328
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 4075/624, 3725/6376
1. What is the HCF of 4075,3725?
The HCF of 4075,3725 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 4075/624, 3725/6376?
Answer: GCF of Numerators as per given numbers 4075/624, 3725/6376 is
GCF of Numerators i.e. for 4075,3725 is 25
LCM of denominators i.e. for 624,6376 is 497328.
Thus, GCF of Fractions is 25/497328.Finally, GCF of Fractions for 4075/624, 3725/6376 is 25/497328.