GCF of 9504/786, 5346/5342
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9504/786, 5346/5342 i.e 594/2099406 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9504/786, 5346/5342.
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 9504/786,5346/5342?
Given fractions are 9504/786,5346/5342
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 9504/786,5346/5342, numerators are 9504,5346
Denominators are 786,5342
The GCF of 9504,5346 is 594 .
LCM of 786,5342 is 2099406.
The greatest common factor of 9504/786,5346/5342 = [GCF of 9504,5346]/[LCM of 786,5342]= 594/2099406
Therefore, the GCF of 9504/786,5346/5342 is 594/2099406.
To find the highest common factor of 9504,5346, we have to find the factors of both numbers and list the highest common factor.
The factors of 9504 are 1, 2, 3, 4, 6, 8, 9, 11, 12, 16, 18, 22, 24, 27, 32, 33, 36, 44, 48, 54, 66, 72, 88, 96, 99, 108, 132, 144, 176, 198, 216, 264, 288, 297, 352, 396, 432, 528, 594, 792, 864, 1056, 1188, 1584, 2376, 3168, 4752, 9504
The factors of 5346 are 1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 81, 99, 162, 198, 243, 297, 486, 594, 891, 1782, 2673, 5346
The HCF of 9504,5346 is 594.
Lets's calculate GCF of 9504,5346
| 2 | 9504, 5346 |
| 3 | 4752, 2673 |
| 3 | 1584, 891 |
| 3 | 528, 297 |
| 11 | 176, 99 |
| 16, 9 |
∴ So the GCF of the given numbers is 2 x 3 x 3 x 3 x 11 = 594
Greatest Common Factor of 9504,5346 By Matching Biggest Common Factor Method
Now, list down the factors of 9504
:1,2,3,4,6,8,9,11,12,16,18,22,24,27,32,33,36,44,48,54,66,72,88,96,99,108,132,144,176,198,216,264,288,297,352,396,432,528,594,792,864,1056,1188,1584,2376,3168,4752,9504
Now, list down the factors of 5346
:1,2,3,6,9,11,18,22,27,33,54,66,81,99,162,198,243,297,486,594,891,1782,2673,5346
Greatest Common Factor
We found the factors 9504,5346 . The biggest common factor number is the GCF number.
So the greatest common factor 9504,5346 is 594.
Lets's calculate LCM of 786,5342
| 2 | 786, 5342 |
| 393, 2671 |
∴ So the LCM of the given numbers is 2 x 393 x 2671 = 2099406
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 594/2099406
Therefore, the GCF of Fractions 9504/786,5346/5342 is 594/2099406
Least Common Multiple of 786,5342 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 786,5342 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(786,5342) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(786,5342) x common factors =2 x 1 = 2
LCM(786,5342) = ( 786 × 5342 ) / 2
LCM(786,5342) = 4198812 / 2
LCM(786,5342) = 2099406
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FAQs on GCF of Fractions of 9504/786, 5346/5342
1. What is the HCF of 9504,5346?
The HCF of 9504,5346 is 594
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 9504/786, 5346/5342?
Answer: GCF of Numerators as per given numbers 9504/786, 5346/5342 is
GCF of Numerators i.e. for 9504,5346 is 594
LCM of denominators i.e. for 786,5342 is 2099406.
Thus, GCF of Fractions is 594/2099406.Finally, GCF of Fractions for 9504/786, 5346/5342 is 594/2099406.