GCF of 3502/965, 7218/825
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3502/965, 7218/825 i.e 2/159225 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3502/965, 7218/825.
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 3502/965,7218/825?
Given fractions are 3502/965,7218/825
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 3502/965,7218/825, numerators are 3502,7218
Denominators are 965,825
The GCF of 3502,7218 is 2 .
LCM of 965,825 is 159225.
The greatest common factor of 3502/965,7218/825 = [GCF of 3502,7218]/[LCM of 965,825]= 2/159225
Therefore, the GCF of 3502/965,7218/825 is 2/159225.
To find the highest common factor of 3502,7218, we have to find the factors of both numbers and list the highest common factor.
The factors of 3502 are 1, 2, 17, 34, 103, 206, 1751, 3502
The factors of 7218 are 1, 2, 3, 6, 9, 18, 401, 802, 1203, 2406, 3609, 7218
The HCF of 3502,7218 is 2.
Lets's calculate GCF of 3502,7218
| 2 | 3502, 7218 |
| 1751, 3609 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 3502,7218 By Matching Biggest Common Factor Method
Now, list down the factors of 3502
:1,2,17,34,103,206,1751,3502
Now, list down the factors of 7218
:1,2,3,6,9,18,401,802,1203,2406,3609,7218
Greatest Common Factor
We found the factors 3502,7218 . The biggest common factor number is the GCF number.
So the greatest common factor 3502,7218 is 2.
Lets's calculate LCM of 965,825
| 5 | 965, 825 |
| 193, 165 |
∴ So the LCM of the given numbers is 5 x 193 x 165 = 159225
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/159225
Therefore, the GCF of Fractions 3502/965,7218/825 is 2/159225
Least Common Multiple of 965,825 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 965,825 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(965,825) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(965,825) x common factors =5 x 1 = 5
LCM(965,825) = ( 965 × 825 ) / 5
LCM(965,825) = 796125 / 5
LCM(965,825) = 159225
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FAQs on GCF of Fractions of 3502/965, 7218/825
1. What is the HCF of 3502,7218?
The HCF of 3502,7218 is 2
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 3502/965, 7218/825?
Answer: GCF of Numerators as per given numbers 3502/965, 7218/825 is
GCF of Numerators i.e. for 3502,7218 is 2
LCM of denominators i.e. for 965,825 is 159225.
Thus, GCF of Fractions is 2/159225.Finally, GCF of Fractions for 3502/965, 7218/825 is 2/159225.