GCF of 9234/808, 7128/4383
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9234/808, 7128/4383 i.e 162/3541464 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9234/808, 7128/4383.
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 9234/808,7128/4383?
Given fractions are 9234/808,7128/4383
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 9234/808,7128/4383, numerators are 9234,7128
Denominators are 808,4383
The GCF of 9234,7128 is 162 .
LCM of 808,4383 is 3541464.
The greatest common factor of 9234/808,7128/4383 = [GCF of 9234,7128]/[LCM of 808,4383]= 162/3541464
Therefore, the GCF of 9234/808,7128/4383 is 162/3541464.
To find the highest common factor of 9234,7128, we have to find the factors of both numbers and list the highest common factor.
The factors of 9234 are 1, 2, 3, 6, 9, 18, 19, 27, 38, 54, 57, 81, 114, 162, 171, 243, 342, 486, 513, 1026, 1539, 3078, 4617, 9234
The factors of 7128 are 1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 27, 33, 36, 44, 54, 66, 72, 81, 88, 99, 108, 132, 162, 198, 216, 264, 297, 324, 396, 594, 648, 792, 891, 1188, 1782, 2376, 3564, 7128
The HCF of 9234,7128 is 162.
Lets's calculate GCF of 9234,7128
| 2 | 9234, 7128 |
| 3 | 4617, 3564 |
| 3 | 1539, 1188 |
| 3 | 513, 396 |
| 3 | 171, 132 |
| 57, 44 |
∴ So the GCF of the given numbers is 2 x 3 x 3 x 3 x 3 = 162
Greatest Common Factor of 9234,7128 By Matching Biggest Common Factor Method
Now, list down the factors of 9234
:1,2,3,6,9,18,19,27,38,54,57,81,114,162,171,243,342,486,513,1026,1539,3078,4617,9234
Now, list down the factors of 7128
:1,2,3,4,6,8,9,11,12,18,22,24,27,33,36,44,54,66,72,81,88,99,108,132,162,198,216,264,297,324,396,594,648,792,891,1188,1782,2376,3564,7128
Greatest Common Factor
We found the factors 9234,7128 . The biggest common factor number is the GCF number.
So the greatest common factor 9234,7128 is 162.
Lets's calculate LCM of 808,4383
Given numbers has no common factors except 1. So, there LCM is their product i.e 3541464
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 162/3541464
Therefore, the GCF of Fractions 9234/808,7128/4383 is 162/3541464
Least Common Multiple of 808,4383 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 808,4383 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(808,4383) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(808,4383) x common factors =1 x 1 = 1
LCM(808,4383) = ( 808 × 4383 ) / 1
LCM(808,4383) = 3541464 / 1
LCM(808,4383) = 3541464
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FAQs on GCF of Fractions of 9234/808, 7128/4383
1. What is the HCF of 9234,7128?
The HCF of 9234,7128 is 162
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 9234/808, 7128/4383?
Answer: GCF of Numerators as per given numbers 9234/808, 7128/4383 is
GCF of Numerators i.e. for 9234,7128 is 162
LCM of denominators i.e. for 808,4383 is 3541464.
Thus, GCF of Fractions is 162/3541464.Finally, GCF of Fractions for 9234/808, 7128/4383 is 162/3541464.