GCF of 7665/594, 1503/409
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7665/594, 1503/409 i.e 3/242946 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7665/594, 1503/409.
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 7665/594,1503/409?
Given fractions are 7665/594,1503/409
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 7665/594,1503/409, numerators are 7665,1503
Denominators are 594,409
The GCF of 7665,1503 is 3 .
LCM of 594,409 is 242946.
The greatest common factor of 7665/594,1503/409 = [GCF of 7665,1503]/[LCM of 594,409]= 3/242946
Therefore, the GCF of 7665/594,1503/409 is 3/242946.
To find the highest common factor of 7665,1503, we have to find the factors of both numbers and list the highest common factor.
The factors of 7665 are 1, 3, 5, 7, 15, 21, 35, 73, 105, 219, 365, 511, 1095, 1533, 2555, 7665
The factors of 1503 are 1, 3, 9, 167, 501, 1503
The HCF of 7665,1503 is 3.
Lets's calculate GCF of 7665,1503
| 3 | 7665, 1503 |
| 2555, 501 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 7665,1503 By Matching Biggest Common Factor Method
Now, list down the factors of 7665
:1,3,5,7,15,21,35,73,105,219,365,511,1095,1533,2555,7665
Now, list down the factors of 1503
:1,3,9,167,501,1503
Greatest Common Factor
We found the factors 7665,1503 . The biggest common factor number is the GCF number.
So the greatest common factor 7665,1503 is 3.
Lets's calculate LCM of 594,409
Given numbers has no common factors except 1. So, there LCM is their product i.e 242946
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/242946
Therefore, the GCF of Fractions 7665/594,1503/409 is 3/242946
Least Common Multiple of 594,409 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 594,409 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(594,409) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(594,409) x common factors =1 x 1 = 1
LCM(594,409) = ( 594 × 409 ) / 1
LCM(594,409) = 242946 / 1
LCM(594,409) = 242946
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FAQs on GCF of Fractions of 7665/594, 1503/409
1. What is the HCF of 7665,1503?
The HCF of 7665,1503 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 7665/594, 1503/409?
Answer: GCF of Numerators as per given numbers 7665/594, 1503/409 is
GCF of Numerators i.e. for 7665,1503 is 3
LCM of denominators i.e. for 594,409 is 242946.
Thus, GCF of Fractions is 3/242946.Finally, GCF of Fractions for 7665/594, 1503/409 is 3/242946.