GCF of 3837/425, 6222/8451
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3837/425, 6222/8451 i.e 3/3591675 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3837/425, 6222/8451.
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 3837/425,6222/8451?
Given fractions are 3837/425,6222/8451
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 3837/425,6222/8451, numerators are 3837,6222
Denominators are 425,8451
The GCF of 3837,6222 is 3 .
LCM of 425,8451 is 3591675.
The greatest common factor of 3837/425,6222/8451 = [GCF of 3837,6222]/[LCM of 425,8451]= 3/3591675
Therefore, the GCF of 3837/425,6222/8451 is 3/3591675.
To find the highest common factor of 3837,6222, we have to find the factors of both numbers and list the highest common factor.
The factors of 3837 are 1, 3, 1279, 3837
The factors of 6222 are 1, 2, 3, 6, 17, 34, 51, 61, 102, 122, 183, 366, 1037, 2074, 3111, 6222
The HCF of 3837,6222 is 3.
Lets's calculate GCF of 3837,6222
| 3 | 3837, 6222 |
| 1279, 2074 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 3837,6222 By Matching Biggest Common Factor Method
Now, list down the factors of 3837
:1,3,1279,3837
Now, list down the factors of 6222
:1,2,3,6,17,34,51,61,102,122,183,366,1037,2074,3111,6222
Greatest Common Factor
We found the factors 3837,6222 . The biggest common factor number is the GCF number.
So the greatest common factor 3837,6222 is 3.
Lets's calculate LCM of 425,8451
Given numbers has no common factors except 1. So, there LCM is their product i.e 3591675
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/3591675
Therefore, the GCF of Fractions 3837/425,6222/8451 is 3/3591675
Least Common Multiple of 425,8451 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 425,8451 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(425,8451) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(425,8451) x common factors =1 x 1 = 1
LCM(425,8451) = ( 425 × 8451 ) / 1
LCM(425,8451) = 3591675 / 1
LCM(425,8451) = 3591675
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FAQs on GCF of Fractions of 3837/425, 6222/8451
1. What is the HCF of 3837,6222?
The HCF of 3837,6222 is 3
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 3837/425, 6222/8451?
Answer: GCF of Numerators as per given numbers 3837/425, 6222/8451 is
GCF of Numerators i.e. for 3837,6222 is 3
LCM of denominators i.e. for 425,8451 is 3591675.
Thus, GCF of Fractions is 3/3591675.Finally, GCF of Fractions for 3837/425, 6222/8451 is 3/3591675.