GCF of 3585/769, 7245/696
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3585/769, 7245/696 i.e 15/535224 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3585/769, 7245/696.
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 3585/769,7245/696?
Given fractions are 3585/769,7245/696
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 3585/769,7245/696, numerators are 3585,7245
Denominators are 769,696
The GCF of 3585,7245 is 15 .
LCM of 769,696 is 535224.
The greatest common factor of 3585/769,7245/696 = [GCF of 3585,7245]/[LCM of 769,696]= 15/535224
Therefore, the GCF of 3585/769,7245/696 is 15/535224.
To find the highest common factor of 3585,7245, we have to find the factors of both numbers and list the highest common factor.
The factors of 3585 are 1, 3, 5, 15, 239, 717, 1195, 3585
The factors of 7245 are 1, 3, 5, 7, 9, 15, 21, 23, 35, 45, 63, 69, 105, 115, 161, 207, 315, 345, 483, 805, 1035, 1449, 2415, 7245
The HCF of 3585,7245 is 15.
Lets's calculate GCF of 3585,7245
| 3 | 3585, 7245 |
| 5 | 1195, 2415 |
| 239, 483 |
∴ So the GCF of the given numbers is 3 x 5 = 15
Greatest Common Factor of 3585,7245 By Matching Biggest Common Factor Method
Now, list down the factors of 3585
:1,3,5,15,239,717,1195,3585
Now, list down the factors of 7245
:1,3,5,7,9,15,21,23,35,45,63,69,105,115,161,207,315,345,483,805,1035,1449,2415,7245
Greatest Common Factor
We found the factors 3585,7245 . The biggest common factor number is the GCF number.
So the greatest common factor 3585,7245 is 15.
Lets's calculate LCM of 769,696
Given numbers has no common factors except 1. So, there LCM is their product i.e 535224
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 15/535224
Therefore, the GCF of Fractions 3585/769,7245/696 is 15/535224
Least Common Multiple of 769,696 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 769,696 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(769,696) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(769,696) x common factors =1 x 1 = 1
LCM(769,696) = ( 769 × 696 ) / 1
LCM(769,696) = 535224 / 1
LCM(769,696) = 535224
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FAQs on GCF of Fractions of 3585/769, 7245/696
1. What is the HCF of 3585,7245?
The HCF of 3585,7245 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 3585/769, 7245/696?
Answer: GCF of Numerators as per given numbers 3585/769, 7245/696 is
GCF of Numerators i.e. for 3585,7245 is 15
LCM of denominators i.e. for 769,696 is 535224.
Thus, GCF of Fractions is 15/535224.Finally, GCF of Fractions for 3585/769, 7245/696 is 15/535224.