GCF of 3925/124, 6325/432
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3925/124, 6325/432 i.e 25/13392 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3925/124, 6325/432.
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 3925/124,6325/432?
Given fractions are 3925/124,6325/432
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 3925/124,6325/432, numerators are 3925,6325
Denominators are 124,432
The GCF of 3925,6325 is 25 .
LCM of 124,432 is 13392.
The greatest common factor of 3925/124,6325/432 = [GCF of 3925,6325]/[LCM of 124,432]= 25/13392
Therefore, the GCF of 3925/124,6325/432 is 25/13392.
To find the highest common factor of 3925,6325, we have to find the factors of both numbers and list the highest common factor.
The factors of 3925 are 1, 5, 25, 157, 785, 3925
The factors of 6325 are 1, 5, 11, 23, 25, 55, 115, 253, 275, 575, 1265, 6325
The HCF of 3925,6325 is 25.
Lets's calculate GCF of 3925,6325
| 5 | 3925, 6325 |
| 5 | 785, 1265 |
| 157, 253 |
∴ So the GCF of the given numbers is 5 x 5 = 25
Greatest Common Factor of 3925,6325 By Matching Biggest Common Factor Method
Now, list down the factors of 3925
:1,5,25,157,785,3925
Now, list down the factors of 6325
:1,5,11,23,25,55,115,253,275,575,1265,6325
Greatest Common Factor
We found the factors 3925,6325 . The biggest common factor number is the GCF number.
So the greatest common factor 3925,6325 is 25.
Lets's calculate LCM of 124,432
| 2 | 124, 432 |
| 2 | 62, 216 |
| 31, 108 |
∴ So the LCM of the given numbers is 2 x 2 x 31 x 108 = 13392
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 25/13392
Therefore, the GCF of Fractions 3925/124,6325/432 is 25/13392
Least Common Multiple of 124,432 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 124,432 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(124,432) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(124,432) x common factors =4 x 1 = 4
LCM(124,432) = ( 124 × 432 ) / 4
LCM(124,432) = 53568 / 4
LCM(124,432) = 13392
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FAQs on GCF of Fractions of 3925/124, 6325/432
1. What is the HCF of 3925,6325?
The HCF of 3925,6325 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 3925/124, 6325/432?
Answer: GCF of Numerators as per given numbers 3925/124, 6325/432 is
GCF of Numerators i.e. for 3925,6325 is 25
LCM of denominators i.e. for 124,432 is 13392.
Thus, GCF of Fractions is 25/13392.Finally, GCF of Fractions for 3925/124, 6325/432 is 25/13392.