GCF of 3804/631, 3126/9102
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3804/631, 3126/9102 i.e 6/5743362 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3804/631, 3126/9102.
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 3804/631,3126/9102?
Given fractions are 3804/631,3126/9102
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 3804/631,3126/9102, numerators are 3804,3126
Denominators are 631,9102
The GCF of 3804,3126 is 6 .
LCM of 631,9102 is 5743362.
The greatest common factor of 3804/631,3126/9102 = [GCF of 3804,3126]/[LCM of 631,9102]= 6/5743362
Therefore, the GCF of 3804/631,3126/9102 is 6/5743362.
To find the highest common factor of 3804,3126, we have to find the factors of both numbers and list the highest common factor.
The factors of 3804 are 1, 2, 3, 4, 6, 12, 317, 634, 951, 1268, 1902, 3804
The factors of 3126 are 1, 2, 3, 6, 521, 1042, 1563, 3126
The HCF of 3804,3126 is 6.
Lets's calculate GCF of 3804,3126
| 2 | 3804, 3126 |
| 3 | 1902, 1563 |
| 634, 521 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 3804,3126 By Matching Biggest Common Factor Method
Now, list down the factors of 3804
:1,2,3,4,6,12,317,634,951,1268,1902,3804
Now, list down the factors of 3126
:1,2,3,6,521,1042,1563,3126
Greatest Common Factor
We found the factors 3804,3126 . The biggest common factor number is the GCF number.
So the greatest common factor 3804,3126 is 6.
Lets's calculate LCM of 631,9102
Given numbers has no common factors except 1. So, there LCM is their product i.e 5743362
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/5743362
Therefore, the GCF of Fractions 3804/631,3126/9102 is 6/5743362
Least Common Multiple of 631,9102 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 631,9102 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(631,9102) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(631,9102) x common factors =1 x 1 = 1
LCM(631,9102) = ( 631 × 9102 ) / 1
LCM(631,9102) = 5743362 / 1
LCM(631,9102) = 5743362
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 3804/631, 3126/9102
1. What is the HCF of 3804,3126?
The HCF of 3804,3126 is 6
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 3804/631, 3126/9102?
Answer: GCF of Numerators as per given numbers 3804/631, 3126/9102 is
GCF of Numerators i.e. for 3804,3126 is 6
LCM of denominators i.e. for 631,9102 is 5743362.
Thus, GCF of Fractions is 6/5743362.Finally, GCF of Fractions for 3804/631, 3126/9102 is 6/5743362.