GCF of 3615/769, 6540/597
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3615/769, 6540/597 i.e 15/459093 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3615/769, 6540/597.
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 3615/769,6540/597?
Given fractions are 3615/769,6540/597
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 3615/769,6540/597, numerators are 3615,6540
Denominators are 769,597
The GCF of 3615,6540 is 15 .
LCM of 769,597 is 459093.
The greatest common factor of 3615/769,6540/597 = [GCF of 3615,6540]/[LCM of 769,597]= 15/459093
Therefore, the GCF of 3615/769,6540/597 is 15/459093.
To find the highest common factor of 3615,6540, we have to find the factors of both numbers and list the highest common factor.
The factors of 3615 are 1, 3, 5, 15, 241, 723, 1205, 3615
The factors of 6540 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 109, 218, 327, 436, 545, 654, 1090, 1308, 1635, 2180, 3270, 6540
The HCF of 3615,6540 is 15.
Lets's calculate GCF of 3615,6540
| 3 | 3615, 6540 |
| 5 | 1205, 2180 |
| 241, 436 |
∴ So the GCF of the given numbers is 3 x 5 = 15
Greatest Common Factor of 3615,6540 By Matching Biggest Common Factor Method
Now, list down the factors of 3615
:1,3,5,15,241,723,1205,3615
Now, list down the factors of 6540
:1,2,3,4,5,6,10,12,15,20,30,60,109,218,327,436,545,654,1090,1308,1635,2180,3270,6540
Greatest Common Factor
We found the factors 3615,6540 . The biggest common factor number is the GCF number.
So the greatest common factor 3615,6540 is 15.
Lets's calculate LCM of 769,597
Given numbers has no common factors except 1. So, there LCM is their product i.e 459093
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 15/459093
Therefore, the GCF of Fractions 3615/769,6540/597 is 15/459093
Least Common Multiple of 769,597 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 769,597 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(769,597) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(769,597) x common factors =1 x 1 = 1
LCM(769,597) = ( 769 × 597 ) / 1
LCM(769,597) = 459093 / 1
LCM(769,597) = 459093
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FAQs on GCF of Fractions of 3615/769, 6540/597
1. What is the HCF of 3615,6540?
The HCF of 3615,6540 is 15
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 3615/769, 6540/597?
Answer: GCF of Numerators as per given numbers 3615/769, 6540/597 is
GCF of Numerators i.e. for 3615,6540 is 15
LCM of denominators i.e. for 769,597 is 459093.
Thus, GCF of Fractions is 15/459093.Finally, GCF of Fractions for 3615/769, 6540/597 is 15/459093.