GCF of 9018/656, 6111/930
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9018/656, 6111/930 i.e 9/305040 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9018/656, 6111/930.
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 9018/656,6111/930?
Given fractions are 9018/656,6111/930
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 9018/656,6111/930, numerators are 9018,6111
Denominators are 656,930
The GCF of 9018,6111 is 9 .
LCM of 656,930 is 305040.
The greatest common factor of 9018/656,6111/930 = [GCF of 9018,6111]/[LCM of 656,930]= 9/305040
Therefore, the GCF of 9018/656,6111/930 is 9/305040.
To find the highest common factor of 9018,6111, we have to find the factors of both numbers and list the highest common factor.
The factors of 9018 are 1, 2, 3, 6, 9, 18, 27, 54, 167, 334, 501, 1002, 1503, 3006, 4509, 9018
The factors of 6111 are 1, 3, 7, 9, 21, 63, 97, 291, 679, 873, 2037, 6111
The HCF of 9018,6111 is 9.
Lets's calculate GCF of 9018,6111
| 3 | 9018, 6111 |
| 3 | 3006, 2037 |
| 1002, 679 |
∴ So the GCF of the given numbers is 3 x 3 = 9
Greatest Common Factor of 9018,6111 By Matching Biggest Common Factor Method
Now, list down the factors of 9018
:1,2,3,6,9,18,27,54,167,334,501,1002,1503,3006,4509,9018
Now, list down the factors of 6111
:1,3,7,9,21,63,97,291,679,873,2037,6111
Greatest Common Factor
We found the factors 9018,6111 . The biggest common factor number is the GCF number.
So the greatest common factor 9018,6111 is 9.
Lets's calculate LCM of 656,930
| 2 | 656, 930 |
| 328, 465 |
∴ So the LCM of the given numbers is 2 x 328 x 465 = 305040
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/305040
Therefore, the GCF of Fractions 9018/656,6111/930 is 9/305040
Least Common Multiple of 656,930 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 656,930 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(656,930) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(656,930) x common factors =2 x 1 = 2
LCM(656,930) = ( 656 × 930 ) / 2
LCM(656,930) = 610080 / 2
LCM(656,930) = 305040
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FAQs on GCF of Fractions of 9018/656, 6111/930
1. What is the HCF of 9018,6111?
The HCF of 9018,6111 is 9
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 9018/656, 6111/930?
Answer: GCF of Numerators as per given numbers 9018/656, 6111/930 is
GCF of Numerators i.e. for 9018,6111 is 9
LCM of denominators i.e. for 656,930 is 305040.
Thus, GCF of Fractions is 9/305040.Finally, GCF of Fractions for 9018/656, 6111/930 is 9/305040.