GCF of 3225/291, 1692/319
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3225/291, 1692/319 i.e 3/92829 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3225/291, 1692/319.
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 3225/291,1692/319?
Given fractions are 3225/291,1692/319
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 3225/291,1692/319, numerators are 3225,1692
Denominators are 291,319
The GCF of 3225,1692 is 3 .
LCM of 291,319 is 92829.
The greatest common factor of 3225/291,1692/319 = [GCF of 3225,1692]/[LCM of 291,319]= 3/92829
Therefore, the GCF of 3225/291,1692/319 is 3/92829.
To find the highest common factor of 3225,1692, we have to find the factors of both numbers and list the highest common factor.
The factors of 3225 are 1, 3, 5, 15, 25, 43, 75, 129, 215, 645, 1075, 3225
The factors of 1692 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 47, 94, 141, 188, 282, 423, 564, 846, 1692
The HCF of 3225,1692 is 3.
Lets's calculate GCF of 3225,1692
| 3 | 3225, 1692 |
| 1075, 564 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 3225,1692 By Matching Biggest Common Factor Method
Now, list down the factors of 3225
:1,3,5,15,25,43,75,129,215,645,1075,3225
Now, list down the factors of 1692
:1,2,3,4,6,9,12,18,36,47,94,141,188,282,423,564,846,1692
Greatest Common Factor
We found the factors 3225,1692 . The biggest common factor number is the GCF number.
So the greatest common factor 3225,1692 is 3.
Lets's calculate LCM of 291,319
Given numbers has no common factors except 1. So, there LCM is their product i.e 92829
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/92829
Therefore, the GCF of Fractions 3225/291,1692/319 is 3/92829
Least Common Multiple of 291,319 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 291,319 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(291,319) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(291,319) x common factors =1 x 1 = 1
LCM(291,319) = ( 291 × 319 ) / 1
LCM(291,319) = 92829 / 1
LCM(291,319) = 92829
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FAQs on GCF of Fractions of 3225/291, 1692/319
1. What is the HCF of 3225,1692?
The HCF of 3225,1692 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 3225/291, 1692/319?
Answer: GCF of Numerators as per given numbers 3225/291, 1692/319 is
GCF of Numerators i.e. for 3225,1692 is 3
LCM of denominators i.e. for 291,319 is 92829.
Thus, GCF of Fractions is 3/92829.Finally, GCF of Fractions for 3225/291, 1692/319 is 3/92829.