GCF of 3225/724, 3490/297
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3225/724, 3490/297 i.e 5/215028 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3225/724, 3490/297.
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 3225/724,3490/297?
Given fractions are 3225/724,3490/297
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 3225/724,3490/297, numerators are 3225,3490
Denominators are 724,297
The GCF of 3225,3490 is 5 .
LCM of 724,297 is 215028.
The greatest common factor of 3225/724,3490/297 = [GCF of 3225,3490]/[LCM of 724,297]= 5/215028
Therefore, the GCF of 3225/724,3490/297 is 5/215028.
To find the highest common factor of 3225,3490, 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 3490 are 1, 2, 5, 10, 349, 698, 1745, 3490
The HCF of 3225,3490 is 5.
Lets's calculate GCF of 3225,3490
| 5 | 3225, 3490 |
| 645, 698 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 3225,3490 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 3490
:1,2,5,10,349,698,1745,3490
Greatest Common Factor
We found the factors 3225,3490 . The biggest common factor number is the GCF number.
So the greatest common factor 3225,3490 is 5.
Lets's calculate LCM of 724,297
Given numbers has no common factors except 1. So, there LCM is their product i.e 215028
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/215028
Therefore, the GCF of Fractions 3225/724,3490/297 is 5/215028
Least Common Multiple of 724,297 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 724,297 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(724,297) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(724,297) x common factors =1 x 1 = 1
LCM(724,297) = ( 724 × 297 ) / 1
LCM(724,297) = 215028 / 1
LCM(724,297) = 215028
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FAQs on GCF of Fractions of 3225/724, 3490/297
1. What is the HCF of 3225,3490?
The HCF of 3225,3490 is 5
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 3225/724, 3490/297?
Answer: GCF of Numerators as per given numbers 3225/724, 3490/297 is
GCF of Numerators i.e. for 3225,3490 is 5
LCM of denominators i.e. for 724,297 is 215028.
Thus, GCF of Fractions is 5/215028.Finally, GCF of Fractions for 3225/724, 3490/297 is 5/215028.