GCF of 8346/332, 1782/9196
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8346/332, 1782/9196 i.e 6/763268 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8346/332, 1782/9196.
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 8346/332,1782/9196?
Given fractions are 8346/332,1782/9196
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 8346/332,1782/9196, numerators are 8346,1782
Denominators are 332,9196
The GCF of 8346,1782 is 6 .
LCM of 332,9196 is 763268.
The greatest common factor of 8346/332,1782/9196 = [GCF of 8346,1782]/[LCM of 332,9196]= 6/763268
Therefore, the GCF of 8346/332,1782/9196 is 6/763268.
To find the highest common factor of 8346,1782, we have to find the factors of both numbers and list the highest common factor.
The factors of 8346 are 1, 2, 3, 6, 13, 26, 39, 78, 107, 214, 321, 642, 1391, 2782, 4173, 8346
The factors of 1782 are 1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 81, 99, 162, 198, 297, 594, 891, 1782
The HCF of 8346,1782 is 6.
Lets's calculate GCF of 8346,1782
| 2 | 8346, 1782 |
| 3 | 4173, 891 |
| 1391, 297 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 8346,1782 By Matching Biggest Common Factor Method
Now, list down the factors of 8346
:1,2,3,6,13,26,39,78,107,214,321,642,1391,2782,4173,8346
Now, list down the factors of 1782
:1,2,3,6,9,11,18,22,27,33,54,66,81,99,162,198,297,594,891,1782
Greatest Common Factor
We found the factors 8346,1782 . The biggest common factor number is the GCF number.
So the greatest common factor 8346,1782 is 6.
Lets's calculate LCM of 332,9196
| 2 | 332, 9196 |
| 2 | 166, 4598 |
| 83, 2299 |
∴ So the LCM of the given numbers is 2 x 2 x 83 x 2299 = 763268
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/763268
Therefore, the GCF of Fractions 8346/332,1782/9196 is 6/763268
Least Common Multiple of 332,9196 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 332,9196 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(332,9196) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(332,9196) x common factors =4 x 1 = 4
LCM(332,9196) = ( 332 × 9196 ) / 4
LCM(332,9196) = 3053072 / 4
LCM(332,9196) = 763268
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FAQs on GCF of Fractions of 8346/332, 1782/9196
1. What is the HCF of 8346,1782?
The HCF of 8346,1782 is 6
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 8346/332, 1782/9196?
Answer: GCF of Numerators as per given numbers 8346/332, 1782/9196 is
GCF of Numerators i.e. for 8346,1782 is 6
LCM of denominators i.e. for 332,9196 is 763268.
Thus, GCF of Fractions is 6/763268.Finally, GCF of Fractions for 8346/332, 1782/9196 is 6/763268.