GCF of 1165/604, 6138/9150
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1165/604, 6138/9150 i.e 1/2763300 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1165/604, 6138/9150.
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 1165/604,6138/9150?
Given fractions are 1165/604,6138/9150
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 1165/604,6138/9150, numerators are 1165,6138
Denominators are 604,9150
The GCF of 1165,6138 is 1 .
LCM of 604,9150 is 2763300.
The greatest common factor of 1165/604,6138/9150 = [GCF of 1165,6138]/[LCM of 604,9150]= 1/2763300
Therefore, the GCF of 1165/604,6138/9150 is 1/2763300.
To find the highest common factor of 1165,6138, we have to find the factors of both numbers and list the highest common factor.
The factors of 1165 are 1, 5, 233, 1165
The factors of 6138 are 1, 2, 3, 6, 9, 11, 18, 22, 31, 33, 62, 66, 93, 99, 186, 198, 279, 341, 558, 682, 1023, 2046, 3069, 6138
The HCF of 1165,6138 is 1.
Lets's calculate GCF of 1165,6138
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1165,6138 By Matching Biggest Common Factor Method
Now, list down the factors of 1165
:1,5,233,1165
Now, list down the factors of 6138
:1,2,3,6,9,11,18,22,31,33,62,66,93,99,186,198,279,341,558,682,1023,2046,3069,6138
Greatest Common Factor
We found the factors 1165,6138 . The biggest common factor number is the GCF number.
So the greatest common factor 1165,6138 is 1.
Lets's calculate LCM of 604,9150
| 2 | 604, 9150 |
| 302, 4575 |
∴ So the LCM of the given numbers is 2 x 302 x 4575 = 2763300
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2763300
Therefore, the GCF of Fractions 1165/604,6138/9150 is 1/2763300
Least Common Multiple of 604,9150 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 604,9150 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(604,9150) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(604,9150) x common factors =2 x 1 = 2
LCM(604,9150) = ( 604 × 9150 ) / 2
LCM(604,9150) = 5526600 / 2
LCM(604,9150) = 2763300
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FAQs on GCF of Fractions of 1165/604, 6138/9150
1. What is the HCF of 1165,6138?
The HCF of 1165,6138 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 1165/604, 6138/9150?
Answer: GCF of Numerators as per given numbers 1165/604, 6138/9150 is
GCF of Numerators i.e. for 1165,6138 is 1
LCM of denominators i.e. for 604,9150 is 2763300.
Thus, GCF of Fractions is 1/2763300.Finally, GCF of Fractions for 1165/604, 6138/9150 is 1/2763300.