GCF of 9365/106, 7945/7016
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9365/106, 7945/7016 i.e 5/371848 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9365/106, 7945/7016.
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 9365/106,7945/7016?
Given fractions are 9365/106,7945/7016
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 9365/106,7945/7016, numerators are 9365,7945
Denominators are 106,7016
The GCF of 9365,7945 is 5 .
LCM of 106,7016 is 371848.
The greatest common factor of 9365/106,7945/7016 = [GCF of 9365,7945]/[LCM of 106,7016]= 5/371848
Therefore, the GCF of 9365/106,7945/7016 is 5/371848.
To find the highest common factor of 9365,7945, we have to find the factors of both numbers and list the highest common factor.
The factors of 9365 are 1, 5, 1873, 9365
The factors of 7945 are 1, 5, 7, 35, 227, 1135, 1589, 7945
The HCF of 9365,7945 is 5.
Lets's calculate GCF of 9365,7945
| 5 | 9365, 7945 |
| 1873, 1589 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 9365,7945 By Matching Biggest Common Factor Method
Now, list down the factors of 9365
:1,5,1873,9365
Now, list down the factors of 7945
:1,5,7,35,227,1135,1589,7945
Greatest Common Factor
We found the factors 9365,7945 . The biggest common factor number is the GCF number.
So the greatest common factor 9365,7945 is 5.
Lets's calculate LCM of 106,7016
| 2 | 106, 7016 |
| 53, 3508 |
∴ So the LCM of the given numbers is 2 x 53 x 3508 = 371848
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/371848
Therefore, the GCF of Fractions 9365/106,7945/7016 is 5/371848
Least Common Multiple of 106,7016 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 106,7016 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(106,7016) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(106,7016) x common factors =2 x 1 = 2
LCM(106,7016) = ( 106 × 7016 ) / 2
LCM(106,7016) = 743696 / 2
LCM(106,7016) = 371848
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FAQs on GCF of Fractions of 9365/106, 7945/7016
1. What is the HCF of 9365,7945?
The HCF of 9365,7945 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 9365/106, 7945/7016?
Answer: GCF of Numerators as per given numbers 9365/106, 7945/7016 is
GCF of Numerators i.e. for 9365,7945 is 5
LCM of denominators i.e. for 106,7016 is 371848.
Thus, GCF of Fractions is 5/371848.Finally, GCF of Fractions for 9365/106, 7945/7016 is 5/371848.