GCF of 9184/783, 9618/654
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9184/783, 9618/654 i.e 14/170694 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9184/783, 9618/654.
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 9184/783,9618/654?
Given fractions are 9184/783,9618/654
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 9184/783,9618/654, numerators are 9184,9618
Denominators are 783,654
The GCF of 9184,9618 is 14 .
LCM of 783,654 is 170694.
The greatest common factor of 9184/783,9618/654 = [GCF of 9184,9618]/[LCM of 783,654]= 14/170694
Therefore, the GCF of 9184/783,9618/654 is 14/170694.
To find the highest common factor of 9184,9618, we have to find the factors of both numbers and list the highest common factor.
The factors of 9184 are 1, 2, 4, 7, 8, 14, 16, 28, 32, 41, 56, 82, 112, 164, 224, 287, 328, 574, 656, 1148, 1312, 2296, 4592, 9184
The factors of 9618 are 1, 2, 3, 6, 7, 14, 21, 42, 229, 458, 687, 1374, 1603, 3206, 4809, 9618
The HCF of 9184,9618 is 14.
Lets's calculate GCF of 9184,9618
| 2 | 9184, 9618 |
| 7 | 4592, 4809 |
| 656, 687 |
∴ So the GCF of the given numbers is 2 x 7 = 14
Greatest Common Factor of 9184,9618 By Matching Biggest Common Factor Method
Now, list down the factors of 9184
:1,2,4,7,8,14,16,28,32,41,56,82,112,164,224,287,328,574,656,1148,1312,2296,4592,9184
Now, list down the factors of 9618
:1,2,3,6,7,14,21,42,229,458,687,1374,1603,3206,4809,9618
Greatest Common Factor
We found the factors 9184,9618 . The biggest common factor number is the GCF number.
So the greatest common factor 9184,9618 is 14.
Lets's calculate LCM of 783,654
| 3 | 783, 654 |
| 261, 218 |
∴ So the LCM of the given numbers is 3 x 261 x 218 = 170694
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 14/170694
Therefore, the GCF of Fractions 9184/783,9618/654 is 14/170694
Least Common Multiple of 783,654 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 783,654 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(783,654) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(783,654) x common factors =3 x 1 = 3
LCM(783,654) = ( 783 × 654 ) / 3
LCM(783,654) = 512082 / 3
LCM(783,654) = 170694
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FAQs on GCF of Fractions of 9184/783, 9618/654
1. What is the HCF of 9184,9618?
The HCF of 9184,9618 is 14
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 9184/783, 9618/654?
Answer: GCF of Numerators as per given numbers 9184/783, 9618/654 is
GCF of Numerators i.e. for 9184,9618 is 14
LCM of denominators i.e. for 783,654 is 170694.
Thus, GCF of Fractions is 14/170694.Finally, GCF of Fractions for 9184/783, 9618/654 is 14/170694.