GCF of 3996/338, 6125/5772
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3996/338, 6125/5772 i.e 1/75036 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3996/338, 6125/5772.
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 3996/338,6125/5772?
Given fractions are 3996/338,6125/5772
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 3996/338,6125/5772, numerators are 3996,6125
Denominators are 338,5772
The GCF of 3996,6125 is 1 .
LCM of 338,5772 is 75036.
The greatest common factor of 3996/338,6125/5772 = [GCF of 3996,6125]/[LCM of 338,5772]= 1/75036
Therefore, the GCF of 3996/338,6125/5772 is 1/75036.
To find the highest common factor of 3996,6125, we have to find the factors of both numbers and list the highest common factor.
The factors of 3996 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 37, 54, 74, 108, 111, 148, 222, 333, 444, 666, 999, 1332, 1998, 3996
The factors of 6125 are 1, 5, 7, 25, 35, 49, 125, 175, 245, 875, 1225, 6125
The HCF of 3996,6125 is 1.
Lets's calculate GCF of 3996,6125
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3996,6125 By Matching Biggest Common Factor Method
Now, list down the factors of 3996
:1,2,3,4,6,9,12,18,27,36,37,54,74,108,111,148,222,333,444,666,999,1332,1998,3996
Now, list down the factors of 6125
:1,5,7,25,35,49,125,175,245,875,1225,6125
Greatest Common Factor
We found the factors 3996,6125 . The biggest common factor number is the GCF number.
So the greatest common factor 3996,6125 is 1.
Lets's calculate LCM of 338,5772
| 2 | 338, 5772 |
| 13 | 169, 2886 |
| 13, 222 |
∴ So the LCM of the given numbers is 2 x 13 x 13 x 222 = 75036
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/75036
Therefore, the GCF of Fractions 3996/338,6125/5772 is 1/75036
Least Common Multiple of 338,5772 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 338,5772 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(338,5772) = 26
common factors(in case of two or more numbers have common factors) = 1
GCF(338,5772) x common factors =26 x 1 = 26
LCM(338,5772) = ( 338 × 5772 ) / 26
LCM(338,5772) = 1950936 / 26
LCM(338,5772) = 75036
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 3996/338, 6125/5772
1. What is the HCF of 3996,6125?
The HCF of 3996,6125 is 1
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 3996/338, 6125/5772?
Answer: GCF of Numerators as per given numbers 3996/338, 6125/5772 is
GCF of Numerators i.e. for 3996,6125 is 1
LCM of denominators i.e. for 338,5772 is 75036.
Thus, GCF of Fractions is 1/75036.Finally, GCF of Fractions for 3996/338, 6125/5772 is 1/75036.