GCF of 5544/419, 9786/8367
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5544/419, 9786/8367 i.e 42/3505773 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5544/419, 9786/8367.
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 5544/419,9786/8367?
Given fractions are 5544/419,9786/8367
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 5544/419,9786/8367, numerators are 5544,9786
Denominators are 419,8367
The GCF of 5544,9786 is 42 .
LCM of 419,8367 is 3505773.
The greatest common factor of 5544/419,9786/8367 = [GCF of 5544,9786]/[LCM of 419,8367]= 42/3505773
Therefore, the GCF of 5544/419,9786/8367 is 42/3505773.
To find the highest common factor of 5544,9786, we have to find the factors of both numbers and list the highest common factor.
The factors of 5544 are 1, 2, 3, 4, 6, 7, 8, 9, 11, 12, 14, 18, 21, 22, 24, 28, 33, 36, 42, 44, 56, 63, 66, 72, 77, 84, 88, 99, 126, 132, 154, 168, 198, 231, 252, 264, 308, 396, 462, 504, 616, 693, 792, 924, 1386, 1848, 2772, 5544
The factors of 9786 are 1, 2, 3, 6, 7, 14, 21, 42, 233, 466, 699, 1398, 1631, 3262, 4893, 9786
The HCF of 5544,9786 is 42.
Lets's calculate GCF of 5544,9786
| 2 | 5544, 9786 |
| 3 | 2772, 4893 |
| 7 | 924, 1631 |
| 132, 233 |
∴ So the GCF of the given numbers is 2 x 3 x 7 = 42
Greatest Common Factor of 5544,9786 By Matching Biggest Common Factor Method
Now, list down the factors of 5544
:1,2,3,4,6,7,8,9,11,12,14,18,21,22,24,28,33,36,42,44,56,63,66,72,77,84,88,99,126,132,154,168,198,231,252,264,308,396,462,504,616,693,792,924,1386,1848,2772,5544
Now, list down the factors of 9786
:1,2,3,6,7,14,21,42,233,466,699,1398,1631,3262,4893,9786
Greatest Common Factor
We found the factors 5544,9786 . The biggest common factor number is the GCF number.
So the greatest common factor 5544,9786 is 42.
Lets's calculate LCM of 419,8367
Given numbers has no common factors except 1. So, there LCM is their product i.e 3505773
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 42/3505773
Therefore, the GCF of Fractions 5544/419,9786/8367 is 42/3505773
Least Common Multiple of 419,8367 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 419,8367 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(419,8367) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(419,8367) x common factors =1 x 1 = 1
LCM(419,8367) = ( 419 × 8367 ) / 1
LCM(419,8367) = 3505773 / 1
LCM(419,8367) = 3505773
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FAQs on GCF of Fractions of 5544/419, 9786/8367
1. What is the HCF of 5544,9786?
The HCF of 5544,9786 is 42
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 5544/419, 9786/8367?
Answer: GCF of Numerators as per given numbers 5544/419, 9786/8367 is
GCF of Numerators i.e. for 5544,9786 is 42
LCM of denominators i.e. for 419,8367 is 3505773.
Thus, GCF of Fractions is 42/3505773.Finally, GCF of Fractions for 5544/419, 9786/8367 is 42/3505773.