GCF of 609/335, 9048/9084
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 609/335, 9048/9084 i.e 87/3043140 easily. The following is the detailed procedure to determine the greatest common factor of fractions 609/335, 9048/9084.
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 609/335,9048/9084?
Given fractions are 609/335,9048/9084
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 609/335,9048/9084, numerators are 609,9048
Denominators are 335,9084
The GCF of 609,9048 is 87 .
LCM of 335,9084 is 3043140.
The greatest common factor of 609/335,9048/9084 = [GCF of 609,9048]/[LCM of 335,9084]= 87/3043140
Therefore, the GCF of 609/335,9048/9084 is 87/3043140.
To find the highest common factor of 609,9048, we have to find the factors of both numbers and list the highest common factor.
The factors of 609 are 1, 3, 7, 21, 29, 87, 203, 609
The factors of 9048 are 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 29, 39, 52, 58, 78, 87, 104, 116, 156, 174, 232, 312, 348, 377, 696, 754, 1131, 1508, 2262, 3016, 4524, 9048
The HCF of 609,9048 is 87.
Lets's calculate GCF of 609,9048
| 3 | 609, 9048 |
| 29 | 203, 3016 |
| 7, 104 |
∴ So the GCF of the given numbers is 3 x 29 = 87
Greatest Common Factor of 609,9048 By Matching Biggest Common Factor Method
Now, list down the factors of 609
:1,3,7,21,29,87,203,609
Now, list down the factors of 9048
:1,2,3,4,6,8,12,13,24,26,29,39,52,58,78,87,104,116,156,174,232,312,348,377,696,754,1131,1508,2262,3016,4524,9048
Greatest Common Factor
We found the factors 609,9048 . The biggest common factor number is the GCF number.
So the greatest common factor 609,9048 is 87.
Lets's calculate LCM of 335,9084
Given numbers has no common factors except 1. So, there LCM is their product i.e 3043140
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 87/3043140
Therefore, the GCF of Fractions 609/335,9048/9084 is 87/3043140
Least Common Multiple of 335,9084 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 335,9084 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(335,9084) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(335,9084) x common factors =1 x 1 = 1
LCM(335,9084) = ( 335 × 9084 ) / 1
LCM(335,9084) = 3043140 / 1
LCM(335,9084) = 3043140
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 609/335, 9048/9084
1. What is the HCF of 609,9048?
The HCF of 609,9048 is 87
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 609/335, 9048/9084?
Answer: GCF of Numerators as per given numbers 609/335, 9048/9084 is
GCF of Numerators i.e. for 609,9048 is 87
LCM of denominators i.e. for 335,9084 is 3043140.
Thus, GCF of Fractions is 87/3043140.Finally, GCF of Fractions for 609/335, 9048/9084 is 87/3043140.