GCF of 3223/749, 9585/516
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3223/749, 9585/516 i.e 1/386484 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3223/749, 9585/516.
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 3223/749,9585/516?
Given fractions are 3223/749,9585/516
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 3223/749,9585/516, numerators are 3223,9585
Denominators are 749,516
The GCF of 3223,9585 is 1 .
LCM of 749,516 is 386484.
The greatest common factor of 3223/749,9585/516 = [GCF of 3223,9585]/[LCM of 749,516]= 1/386484
Therefore, the GCF of 3223/749,9585/516 is 1/386484.
To find the highest common factor of 3223,9585, we have to find the factors of both numbers and list the highest common factor.
The factors of 3223 are 1, 11, 293, 3223
The factors of 9585 are 1, 3, 5, 9, 15, 27, 45, 71, 135, 213, 355, 639, 1065, 1917, 3195, 9585
The HCF of 3223,9585 is 1.
Lets's calculate GCF of 3223,9585
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3223,9585 By Matching Biggest Common Factor Method
Now, list down the factors of 3223
:1,11,293,3223
Now, list down the factors of 9585
:1,3,5,9,15,27,45,71,135,213,355,639,1065,1917,3195,9585
Greatest Common Factor
We found the factors 3223,9585 . The biggest common factor number is the GCF number.
So the greatest common factor 3223,9585 is 1.
Lets's calculate LCM of 749,516
Given numbers has no common factors except 1. So, there LCM is their product i.e 386484
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/386484
Therefore, the GCF of Fractions 3223/749,9585/516 is 1/386484
Least Common Multiple of 749,516 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 749,516 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(749,516) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(749,516) x common factors =1 x 1 = 1
LCM(749,516) = ( 749 × 516 ) / 1
LCM(749,516) = 386484 / 1
LCM(749,516) = 386484
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FAQs on GCF of Fractions of 3223/749, 9585/516
1. What is the HCF of 3223,9585?
The HCF of 3223,9585 is 1
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 3223/749, 9585/516?
Answer: GCF of Numerators as per given numbers 3223/749, 9585/516 is
GCF of Numerators i.e. for 3223,9585 is 1
LCM of denominators i.e. for 749,516 is 386484.
Thus, GCF of Fractions is 1/386484.Finally, GCF of Fractions for 3223/749, 9585/516 is 1/386484.