GCF of 1275/574, 6504/606
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1275/574, 6504/606 i.e 3/173922 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1275/574, 6504/606.
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 1275/574,6504/606?
Given fractions are 1275/574,6504/606
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 1275/574,6504/606, numerators are 1275,6504
Denominators are 574,606
The GCF of 1275,6504 is 3 .
LCM of 574,606 is 173922.
The greatest common factor of 1275/574,6504/606 = [GCF of 1275,6504]/[LCM of 574,606]= 3/173922
Therefore, the GCF of 1275/574,6504/606 is 3/173922.
To find the highest common factor of 1275,6504, we have to find the factors of both numbers and list the highest common factor.
The factors of 1275 are 1, 3, 5, 15, 17, 25, 51, 75, 85, 255, 425, 1275
The factors of 6504 are 1, 2, 3, 4, 6, 8, 12, 24, 271, 542, 813, 1084, 1626, 2168, 3252, 6504
The HCF of 1275,6504 is 3.
Lets's calculate GCF of 1275,6504
| 3 | 1275, 6504 |
| 425, 2168 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 1275,6504 By Matching Biggest Common Factor Method
Now, list down the factors of 1275
:1,3,5,15,17,25,51,75,85,255,425,1275
Now, list down the factors of 6504
:1,2,3,4,6,8,12,24,271,542,813,1084,1626,2168,3252,6504
Greatest Common Factor
We found the factors 1275,6504 . The biggest common factor number is the GCF number.
So the greatest common factor 1275,6504 is 3.
Lets's calculate LCM of 574,606
| 2 | 574, 606 |
| 287, 303 |
∴ So the LCM of the given numbers is 2 x 287 x 303 = 173922
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/173922
Therefore, the GCF of Fractions 1275/574,6504/606 is 3/173922
Least Common Multiple of 574,606 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 574,606 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(574,606) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(574,606) x common factors =2 x 1 = 2
LCM(574,606) = ( 574 × 606 ) / 2
LCM(574,606) = 347844 / 2
LCM(574,606) = 173922
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FAQs on GCF of Fractions of 1275/574, 6504/606
1. What is the HCF of 1275,6504?
The HCF of 1275,6504 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 1275/574, 6504/606?
Answer: GCF of Numerators as per given numbers 1275/574, 6504/606 is
GCF of Numerators i.e. for 1275,6504 is 3
LCM of denominators i.e. for 574,606 is 173922.
Thus, GCF of Fractions is 3/173922.Finally, GCF of Fractions for 1275/574, 6504/606 is 3/173922.