GCF of 9018/645, 9609/428
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9018/645, 9609/428 i.e 3/276060 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9018/645, 9609/428.
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 9018/645,9609/428?
Given fractions are 9018/645,9609/428
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 9018/645,9609/428, numerators are 9018,9609
Denominators are 645,428
The GCF of 9018,9609 is 3 .
LCM of 645,428 is 276060.
The greatest common factor of 9018/645,9609/428 = [GCF of 9018,9609]/[LCM of 645,428]= 3/276060
Therefore, the GCF of 9018/645,9609/428 is 3/276060.
To find the highest common factor of 9018,9609, 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 9609 are 1, 3, 3203, 9609
The HCF of 9018,9609 is 3.
Lets's calculate GCF of 9018,9609
| 3 | 9018, 9609 |
| 3006, 3203 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 9018,9609 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 9609
:1,3,3203,9609
Greatest Common Factor
We found the factors 9018,9609 . The biggest common factor number is the GCF number.
So the greatest common factor 9018,9609 is 3.
Lets's calculate LCM of 645,428
Given numbers has no common factors except 1. So, there LCM is their product i.e 276060
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/276060
Therefore, the GCF of Fractions 9018/645,9609/428 is 3/276060
Least Common Multiple of 645,428 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 645,428 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(645,428) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(645,428) x common factors =1 x 1 = 1
LCM(645,428) = ( 645 × 428 ) / 1
LCM(645,428) = 276060 / 1
LCM(645,428) = 276060
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FAQs on GCF of Fractions of 9018/645, 9609/428
1. What is the HCF of 9018,9609?
The HCF of 9018,9609 is 3
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 9018/645, 9609/428?
Answer: GCF of Numerators as per given numbers 9018/645, 9609/428 is
GCF of Numerators i.e. for 9018,9609 is 3
LCM of denominators i.e. for 645,428 is 276060.
Thus, GCF of Fractions is 3/276060.Finally, GCF of Fractions for 9018/645, 9609/428 is 3/276060.