GCF of 6675/454, 1626/6125
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6675/454, 1626/6125 i.e 3/2780750 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6675/454, 1626/6125.
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 6675/454,1626/6125?
Given fractions are 6675/454,1626/6125
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 6675/454,1626/6125, numerators are 6675,1626
Denominators are 454,6125
The GCF of 6675,1626 is 3 .
LCM of 454,6125 is 2780750.
The greatest common factor of 6675/454,1626/6125 = [GCF of 6675,1626]/[LCM of 454,6125]= 3/2780750
Therefore, the GCF of 6675/454,1626/6125 is 3/2780750.
To find the highest common factor of 6675,1626, we have to find the factors of both numbers and list the highest common factor.
The factors of 6675 are 1, 3, 5, 15, 25, 75, 89, 267, 445, 1335, 2225, 6675
The factors of 1626 are 1, 2, 3, 6, 271, 542, 813, 1626
The HCF of 6675,1626 is 3.
Lets's calculate GCF of 6675,1626
| 3 | 6675, 1626 |
| 2225, 542 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 6675,1626 By Matching Biggest Common Factor Method
Now, list down the factors of 6675
:1,3,5,15,25,75,89,267,445,1335,2225,6675
Now, list down the factors of 1626
:1,2,3,6,271,542,813,1626
Greatest Common Factor
We found the factors 6675,1626 . The biggest common factor number is the GCF number.
So the greatest common factor 6675,1626 is 3.
Lets's calculate LCM of 454,6125
Given numbers has no common factors except 1. So, there LCM is their product i.e 2780750
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/2780750
Therefore, the GCF of Fractions 6675/454,1626/6125 is 3/2780750
Least Common Multiple of 454,6125 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 454,6125 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(454,6125) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(454,6125) x common factors =1 x 1 = 1
LCM(454,6125) = ( 454 × 6125 ) / 1
LCM(454,6125) = 2780750 / 1
LCM(454,6125) = 2780750
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FAQs on GCF of Fractions of 6675/454, 1626/6125
1. What is the HCF of 6675,1626?
The HCF of 6675,1626 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 6675/454, 1626/6125?
Answer: GCF of Numerators as per given numbers 6675/454, 1626/6125 is
GCF of Numerators i.e. for 6675,1626 is 3
LCM of denominators i.e. for 454,6125 is 2780750.
Thus, GCF of Fractions is 3/2780750.Finally, GCF of Fractions for 6675/454, 1626/6125 is 3/2780750.